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Journal articles on the topic 'Discrete complexes'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

Fugacci, Ulderico, Federico Iuricich, and Leila De Floriani. "Computing discrete Morse complexes from simplicial complexes." Graphical Models 103 (May 2019): 101023. http://dx.doi.org/10.1016/j.gmod.2019.101023.

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2

Bernhardt, Paul V., Brendan P. Macpherson, and Manuel Martinez. "Discrete Dinuclear Cyano-Bridged Complexes." Inorganic Chemistry 39, no. 23 (November 2000): 5203–8. http://dx.doi.org/10.1021/ic000379q.

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3

Chari, Manoj K., and Michael Joswig. "Complexes of discrete Morse functions." Discrete Mathematics 302, no. 1-3 (October 2005): 39–51. http://dx.doi.org/10.1016/j.disc.2004.07.027.

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4

Gayathri, S. Shankara, Mateusz Wielopolski, Emilio M Pérez, Gustavo Fernández, Luis Sánchez, Rafael Viruela, Enrique Ortí, Dirk M Guldi, and Nazario Martín. "Discrete Supramolecular Donor-Acceptor Complexes." Angewandte Chemie International Edition 48, no. 4 (January 12, 2009): 815–19. http://dx.doi.org/10.1002/anie.200803984.

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5

Ayala, Rafael, Jose Antonio Vilches, Gregor Jerše, and Neža Mramor Kosta. "Discrete gradient fields on infinite complexes." Discrete & Continuous Dynamical Systems - A 30, no. 3 (2011): 623–39. http://dx.doi.org/10.3934/dcds.2011.30.623.

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6

Dragotti, Sara. "Simplicial complexes: from continuous to discrete." Applied Mathematical Sciences 8 (2014): 6761–68. http://dx.doi.org/10.12988/ams.2014.49691.

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7

Kornyak, V. V. "Discrete relations on abstract simplicial complexes." Programming and Computer Software 32, no. 2 (March 2006): 84–89. http://dx.doi.org/10.1134/s0361768806020058.

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8

Johnson, Lacey, and Kevin Knudson. "Min-Max Theory for Cell Complexes." Algebra Colloquium 27, no. 03 (August 27, 2020): 447–54. http://dx.doi.org/10.1142/s100538672000036x.

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In the study of smooth functions on manifolds, min-max theory provides a mechanism for identifying critical values of a function. We introduce a discretized version of this theory associated to a discrete Morse function on a (regular) cell complex. As applications we prove a discrete version of the mountain pass lemma and give an alternate proof of a discrete Lusternik–Schnirelmann theorem.

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9

Chukanov, S. N. "Signal processing of simplicial complexes." Journal of Physics: Conference Series 2182, no. 1 (March 1, 2022): 012017. http://dx.doi.org/10.1088/1742-6596/2182/1/012017.

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Abstract The paper considered the signal processing of simplicial complexes. Hodge decomposition formula for discrete fields is given, which is similar to the Hodge decomposition formula for smooth vector fields. The construction and the estimation of the gradient, divergence and curl operators and Laplace matrices for discrete vector fields are considered.

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10

Bobenko, A. I., and W. K. Schief. "Discrete line complexes and integrable evolution of minors." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2175 (March 2015): 20140819. http://dx.doi.org/10.1098/rspa.2014.0819.

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Based on the classical Plücker correspondence, we present algebraic and geometric properties of discrete integrable line complexes in C P 3 . Algebraically, these are encoded in a discrete integrable system that appears in various guises in the theory of continuous and discrete integrable systems. Geometrically, the existence of these integrable line complexes is shown to be guaranteed by Desargues' classical theorem of projective geometry. A remarkable characterization in terms of correlations of C P 3 is also recorded.

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11

Al-Mandhary, Muna R. A., Christopher M. Fitchett, and Peter J. Steel. "Discrete Metal Complexes of Two Multiply Armed Ligands." Australian Journal of Chemistry 59, no. 5 (2006): 307. http://dx.doi.org/10.1071/ch06116.

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The syntheses and metal complexes of 1,2,4,5-tetrakis(8-quinolyloxymethyl)benzene 1 and hexakis(8-quinolyloxymethyl)benzene 2 are described. X-Ray crystal structures are reported of the free ligand 1, a binuclear silver(i) and a tetranuclear copper(i) complex of 1, as well as a binuclear cobalt(ii) and trinuclear palladium(ii) and silver(i) complexes of 2. Within these discrete metal complexes the ligands are found to adopt a range of coordination modes, with considerable variation in the relative orientations of the ligand arms as a result of the flexibility imparted by the CH2O linker units.

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12

Hu, Jun, and Yizhou Liang. "Conforming discrete Gradgrad-complexes in three dimensions." Mathematics of Computation 90, no. 330 (March 24, 2021): 1637–62. http://dx.doi.org/10.1090/mcom/3628.

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13

Herkert, Lorena, Angel Sampedro, and Gustavo Fernández. "Cooperative self-assembly of discrete metal complexes." CrystEngComm 18, no. 46 (2016): 8813–22. http://dx.doi.org/10.1039/c6ce01968d.

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14

Ayala, Rafael, Desamparados Fernández-Ternero, and José Antonio Vilches. "Perfect discrete Morse functions on 2-complexes." Pattern Recognition Letters 33, no. 11 (August 2012): 1495–500. http://dx.doi.org/10.1016/j.patrec.2011.08.011.

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15

Wu, Chengyuan, Shiquan Ren, Jie Wu, and Kelin Xia. "Discrete Morse theory for weighted simplicial complexes." Topology and its Applications 270 (February 2020): 107038. http://dx.doi.org/10.1016/j.topol.2019.107038.

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16

Kozlov, Dmitry N. "Discrete Morse theory for free chain complexes." Comptes Rendus Mathematique 340, no. 12 (June 2005): 867–72. http://dx.doi.org/10.1016/j.crma.2005.04.036.

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17

Groenewold, Gary S., Anita K. Gianotto, Michael E. McIlwain, Michael J. Van Stipdonk, Michael Kullman, David T. Moore, Nick Polfer, et al. "Infrared Spectroscopy of Discrete Uranyl Anion Complexes." Journal of Physical Chemistry A 112, no. 3 (January 2008): 508–21. http://dx.doi.org/10.1021/jp077309q.

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18

Murahashi, Tetsuro, Mayu Fujimoto, Yurika Kawabata, Ryou Inoue, Sensuke Ogoshi, and Hideo Kurosawa. "Discrete Triangular Tripalladium Sandwich Complexes of Arenes." Angewandte Chemie 119, no. 28 (July 9, 2007): 5536–39. http://dx.doi.org/10.1002/ange.200701665.

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19

Murahashi, Tetsuro, Mayu Fujimoto, Yurika Kawabata, Ryou Inoue, Sensuke Ogoshi, and Hideo Kurosawa. "Discrete Triangular Tripalladium Sandwich Complexes of Arenes." Angewandte Chemie International Edition 46, no. 28 (July 9, 2007): 5440–43. http://dx.doi.org/10.1002/anie.200701665.

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20

Hogue, Ross W., Sandhya Singh, and Sally Brooker. "Spin crossover in discrete polynuclear iron(ii) complexes." Chemical Society Reviews 47, no. 19 (2018): 7303–38. http://dx.doi.org/10.1039/c7cs00835j.

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21

Hetyei, Gábor. "Polyspherical Complexes." Annals of Combinatorics 9, no. 4 (December 2005): 379–409. http://dx.doi.org/10.1007/s00026-005-0265-3.

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22

Chamberlain, Bradley M., Yongping Sun, John R. Hagadorn, Eric W. Hemmesch, Victor G. Young, Maren Pink, Marc A. Hillmyer, and William B. Tolman. "Discrete Yttrium(III) Complexes as Lactide Polymerization Catalysts." Macromolecules 32, no. 7 (April 1999): 2400–2402. http://dx.doi.org/10.1021/ma990005k.

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23

Bilbeisi, Rana A., John-Carl Olsen, Loïc J. Charbonnière, and Ali Trabolsi. "Self-assembled discrete metal–organic complexes: Recent advances." Inorganica Chimica Acta 417 (June 2014): 79–108. http://dx.doi.org/10.1016/j.ica.2013.12.015.

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24

Evans, John A., Michael A. Scott, Kendrick M. Shepherd, Derek C. Thomas, and Rafael Vázquez Hernández. "Hierarchical B-spline complexes of discrete differential forms." IMA Journal of Numerical Analysis 40, no. 1 (December 5, 2018): 422–73. http://dx.doi.org/10.1093/imanum/dry077.

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Abstract In this paper we introduce the hierarchical B-spline complex of discrete differential forms for arbitrary spatial dimension. This complex may be applied to the adaptive isogeometric solution of problems arising in electromagnetics and fluid mechanics. We derive a sufficient and necessary condition guaranteeing exactness of the hierarchical B-spline complex for arbitrary spatial dimension, and we derive a set of local, easy-to-compute and sufficient exactness conditions for the two-dimensional setting. We examine the stability properties of the hierarchical B-spline complex, and we find that it yields stable approximations of both the Maxwell eigenproblem and Stokes problem provided that the local exactness conditions are satisfied. We conclude by providing numerical results showing the promise of the hierarchical B-spline complex in an adaptive isogeometric solution framework.

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25

Stapleton, Russell L., Jianfang Chai, Nicholas J. Taylor, and Scott Collins. "Ethylene Polymerization Using Discrete Nickel(II) Iminophosphonamide Complexes." Organometallics 25, no. 10 (May 2006): 2514–24. http://dx.doi.org/10.1021/om051103z.

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26

Feser, Edward, Stuart Sweeney, and Henry Renski. "A Descriptive Analysis of Discrete U.S. Industrial Complexes*." Journal of Regional Science 45, no. 2 (May 2005): 395–419. http://dx.doi.org/10.1111/j.0022-4146.2005.00376.x.

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27

Pinkall, Ulrich, and Boris Springborn. "A discrete version of Liouville’s theorem on conformal maps." Geometriae Dedicata 214, no. 1 (April 15, 2021): 389–98. http://dx.doi.org/10.1007/s10711-021-00621-2.

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AbstractLiouville’s theorem says that in dimension greater than two, all conformal maps are Möbius transformations. We prove an analogous statement about simplicial complexes, where two simplicial complexes are considered discretely conformally equivalent if they are combinatorially equivalent and the lengths of corresponding edges are related by scale factors associated with the vertices.

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28

AYALA, R., L. M. FERNÁNDEZ, and J. A. VILCHES. "MORSE INEQUALITIES ON CERTAIN INFINITE 2-COMPLEXES." Glasgow Mathematical Journal 49, no. 2 (May 2007): 155–65. http://dx.doi.org/10.1017/s0017089507003643.

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AbstractUsing the notion of discrete Morse function introduced by R. Forman for finite cw-complexes, we generalize it to the infinite 2-dimensional case in order to get the corresponding version of the well-known discrete Morse inequalities on a non-compact triangulated 2-manifold without boundary and with finite homology. We also extend them for the more general case of a non-compact triangulated 2-pseudo-manifold with a finite number of critical simplices and finite homology.

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29

TONTI, ENZO. "A DIRECT DISCRETE FORMULATION FOR THE WAVE EQUATION." Journal of Computational Acoustics 09, no. 04 (December 2001): 1355–82. http://dx.doi.org/10.1142/s0218396x01001455.

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The paper shows how to give a direct discrete formulation of the wave equation starting directly from physical laws, i.e. without passing through differential formulation. Using global variables instead of scalar and vector field functions, a close link between global variables and spatial and temporal elements immediately appears. A preliminary classification of physical variables into three classes: configuration, source and energy variables and the use of two cell complexes, one dual of the other, gives an unambiguous association of global variables to the spatial and temporal elements of the two complexes. Thus, one arrives at a discrete formulation of d'Alembert equation on an unstructured mesh.

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30

Bauer, U., H. Edelsbrunner, G. Jabłoński, and M. Mrozek. "Čech–Delaunay gradient flow and homology inference for self-maps." Journal of Applied and Computational Topology 4, no. 4 (August 30, 2020): 455–80. http://dx.doi.org/10.1007/s41468-020-00058-8.

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Abstract We call a continuous self-map that reveals itself through a discrete set of point-value pairs a sampled dynamical system. Capturing the available information with chain maps on Delaunay complexes, we use persistent homology to quantify the evidence of recurrent behavior. We establish a sampling theorem to recover the eigenspaces of the endomorphism on homology induced by the self-map. Using a combinatorial gradient flow arising from the discrete Morse theory for Čech and Delaunay complexes, we construct a chain map to transform the problem from the natural but expensive Čech complexes to the computationally efficient Delaunay triangulations. The fast chain map algorithm has applications beyond dynamical systems.

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31

Roşca, Sorin-Claudiu, Vincent Dorcet, Thierry Roisnel, Jean-François Carpentier, and Yann Sarazin. "Tethered cationic alkaline earth – olefin complexes." Dalton Transactions 46, no. 43 (2017): 14785–94. http://dx.doi.org/10.1039/c7dt03300a.

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The utilisation of a specifically tailored aminofluoroalcohol possessing both a methoxy and an olefin dangling side arms enables the preparation of the first examples of discrete calcium- and strontium-olefin cationic complexes.

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32

Prananto, Yuniar P., Aron Urbatsch, Boujemaa Moubaraki, Keith S. Murray, David R. Turner, Glen B. Deacon, and Stuart R. Batten. "Transition Metal Thiocyanate Complexes of Picolylcyanoacetamides." Australian Journal of Chemistry 70, no. 5 (2017): 516. http://dx.doi.org/10.1071/ch16648.

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A variety of transition metal complexes involving picolylcyanoacetamides (pica = NCCH2CONH-R; R = 2-picolyl- (2pica), 3-picolyl- (3pica), 4-picolyl- (4pica)) and thiocyanate have been synthesised and their solid-state structures have been determined. The complexes were all obtained from reactions between the corresponding metals salts and pica ligands with sodium thiocyanate under ambient conditions. Both 3pica and 4pica coordinate to the metal solely through the nitrogen atom of the picolyl group and form discrete tetrahedral [M(NCS)2(pica)2] (3pica; M = Mn, Zn; 4pica; M = Co) and octahedral [M(NCS)2(3pica)4] (M = Co, Fe, Ni) complexes. In addition, one-dimensional N,S-thiocyanate-bridged coordination polymers poly-[M(µ-NCS)2(pica)2] (3pica; M = Cd; 4pica; M = Co, Cd) were obtained. The ligand 2pica gave the discrete octahedral complexes [Co(NCS)2(2pica)2] and [Cd(NO3)2(2pica)2] in which 2pica chelates in a bidentate fashion through its picolyl and carbonyl groups. Magnetic susceptibility measurements on the cobalt(ii) complexes were performed and showed short-range antiferromagnetic coupling for the [Co(NCS)2(4pica)2]n 1D polymer.

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33

Meunier, Frédéric. "Polytopal complexes: maps, chain complexes and… necklaces." Electronic Notes in Discrete Mathematics 31 (August 2008): 183–88. http://dx.doi.org/10.1016/j.endm.2008.06.037.

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34

Buchanan, Jenna K., and Paul G. Plieger. "9Be nuclear magnetic resonance spectroscopy trends in discrete complexes: an update." Zeitschrift für Naturforschung B 75, no. 5 (May 26, 2020): 459–72. http://dx.doi.org/10.1515/znb-2020-0007.

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Abstract9Be solution NMR spectroscopy is a useful tool for the characterisation of beryllium complexes. An updated comprehensive table of the 9Be NMR chemical shifts of beryllium complexes in solution is presented. The recent additions span a greater range of chemical shifts than those previously reported, and more overlap is observed between the chemical shift regions of four-coordinate complexes and those with lower coordination numbers. Four-coordinate beryllium species have smaller ω1/2 values than the two- and three-coordinate species due to their higher order symmetry. In contrast to previous studies, no clear relationship is observed between chemical shift and the size and number of chelate rings.

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35

Vittal, Jagadese J., and Hong Sheng Quah. "Photochemical reactions of metal complexes in the solid state." Dalton Transactions 46, no. 22 (2017): 7120–40. http://dx.doi.org/10.1039/c7dt00873b.

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36

Zaremsky, Matthew C. B. "Bestvina–Brady discrete Morse theory and Vietoris–Rips complexes." American Journal of Mathematics 144, no. 5 (October 2022): 1177–200. http://dx.doi.org/10.1353/ajm.2022.0026.

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37

Beillard, Audrey, Xavier Bantreil, Thomas-Xavier Métro, Jean Martinez, and Frédéric Lamaty. "Alternative Technologies That Facilitate Access to Discrete Metal Complexes." Chemical Reviews 119, no. 12 (May 6, 2019): 7529–609. http://dx.doi.org/10.1021/acs.chemrev.8b00479.

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38

Shareshian, John. "Discrete Morse theory for complexes of 2-connected graphs." Topology 40, no. 4 (July 2001): 681–701. http://dx.doi.org/10.1016/s0040-9383(99)00076-2.

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39

Carpentier, Jean-François, Sophie M. Guillaume, Evgueni Kirillov, and Yann Sarazin. "Discrete allyl complexes of group 3 metals and lanthanides." Comptes Rendus Chimie 13, no. 6-7 (June 2010): 608–25. http://dx.doi.org/10.1016/j.crci.2009.12.008.

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40

Tanaka, Takayuki, and Keita Kuroiwa. "Supramolecular Hybrids from Cyanometallate Complexes and Diblock Copolypeptide Amphiphiles in Water." Molecules 27, no. 10 (May 19, 2022): 3262. http://dx.doi.org/10.3390/molecules27103262.

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The self-assembly of discrete cyanometallates has attracted significant interest due to the potential of these materials to undergo soft metallophilic interactions as well as their optical properties. Diblock copolypeptide amphiphiles have also been investigated concerning their capacity for self-assembly into morphologies such as nanostructures. The present work combined these two concepts by examining supramolecular hybrids comprising cyanometallates with diblock copolypeptide amphiphiles in aqueous solutions. Discrete cyanometallates such as [Au(CN)2]−, [Ag(CN)2]−, and [Pt(CN)4]2− dispersed at the molecular level in water cannot interact with each other at low concentrations. However, the results of this work demonstrate that the addition of diblock copolypeptide amphiphiles such as poly-(L-lysine)-block-(L-cysteine) (Lysm-b-Cysn) to solutions of these complexes induces the supramolecular assembly of the discrete cyanometallates, resulting in photoluminescence originating from multinuclear complexes with metal-metal interactions. Electron microscopy images confirmed the formation of nanostructures of several hundred nanometers in size that grew to form advanced nanoarchitectures, including those resembling the original nanostructures. This concept of combining diblock copolypeptide amphiphiles with discrete cyanometallates allows the design of flexible and functional supramolecular hybrid systems in water.

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41

Fernandez-Bartolome, Estefania, Paula Cruz, Laura Abad Galán, Miguel Cortijo, Patricia Delgado-Martínez, Rodrigo González-Prieto, José L. Priego, and Reyes Jiménez-Aparicio. "Heteronuclear Dirhodium-Gold Anionic Complexes: Polymeric Chains and Discrete Units." Polymers 12, no. 9 (August 19, 2020): 1868. http://dx.doi.org/10.3390/polym12091868.

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In this article, we report on the synthesis and characterization of the tetracarboxylatodirhodium(II) complexes [Rh2(μ–O2CCH2OMe)4(THF)2] (1) and [Rh2(μ–O2CC6H4–p–CMe3)4(OH2)2] (2) by metathesis reaction of [Rh2(μ–O2CMe)4] with the corresponding ligand acting also as the reaction solvent. The reaction of the corresponding tetracarboxylato precursor, [Rh2(μ–O2CR)4], with PPh4[Au(CN)2] at room temperature, yielded the one-dimensional polymers (PPh4)n[Rh2(μ–O2CR)4Au(CN)2]n (R = Me (3), CH2OMe (4), CH2OEt (5)) and the non-polymeric compounds (PPh4)2{Rh2(μ–O2CR)4[Au(CN)2]2} (R = CMe3 (6), C6H4–p–CMe3 (7)). The structural characterization of 1, 3·2CH2Cl2, 4·3CH2Cl2, 5, 6, and 7·2OCMe2 is also provided with a detailed description of their crystal structures and intermolecular interactions. The polymeric compounds 3·2CH2Cl2, 4·3CH2Cl2, and 5 show wavy chains with Rh–Au–Rh and Rh–N–C angles in the ranges 177.18°–178.69° and 163.0°–170.4°, respectively. A comparative study with related rhodium-silver complexes previously reported indicates no significant influence of the gold or silver atoms in the solid-state arrangement of these kinds of complexes.

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42

Cols, Jean-Marie E. P., Cameron E. Taylor, Kevin J. Gagnon, Simon J. Teat, and Ruaraidh D. McIntosh. "Well-defined Ti4 pre-catalysts for the ring-opening polymerisation of lactide." Dalton Transactions 45, no. 44 (2016): 17729–38. http://dx.doi.org/10.1039/c6dt03842e.

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43

Solomon, Marcello B., Bun Chan, Clifford P. Kubiak, Katrina A. Jolliffe, and Deanna M. D'Alessandro. "The spectroelectrochemical behaviour of redox-active manganese salen complexes." Dalton Transactions 48, no. 11 (2019): 3704–13. http://dx.doi.org/10.1039/c8dt02676a.

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A series of discrete, functionalised Mn(iii) pyridyl salen metal complexes with varying aliphatic and aromatic bridging diamines have been evaluated and their spectroelectrochemical properties probed.

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44

Milutinović, Marija Jelić, Duško Jojić, Marinko Timotijević, Siniša T. Vrećica, and Rade T. Živaljević. "Combinatorics of unavoidable complexes." European Journal of Combinatorics 83 (January 2020): 103004. http://dx.doi.org/10.1016/j.ejc.2019.103004.

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45

Kopotkov, Vyacheslav A., Eduard B. Yagubskii, Sergey V. Simonov, Leokadiya V. Zorina, Denis V. Starichenko, Alexander V. Korolyov, Vladimir V. Ustinov, and Yuri N. Shvachko. "Heterometallic complexes combining [MnIII(salpn)]+ and [Fe(CN)6]4− units as the products of reactions between [MnIII(salpn)(H2O)C(CN)3] and [Fe(CN)6]3−/4−." New J. Chem. 38, no. 9 (2014): 4167–76. http://dx.doi.org/10.1039/c4nj00427b.

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46

Huang, Yong-Qing, and Wei-Yin Sun. "Coordination supramolecules with oxazoline-containing ligands." CrystEngComm 20, no. 40 (2018): 6109–21. http://dx.doi.org/10.1039/c8ce01099d.

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47

Peters, Morten K., Christian Näther, and Rainer Herges. "Crystal structure of bis(4-methoxypyridine-κN)(meso-5,10,15,20-tetraphenylporphyrinato-κ4 N,N′,N′′,N′′′)iron(III) perchlorate." Acta Crystallographica Section E Crystallographic Communications 75, no. 6 (May 10, 2019): 762–65. http://dx.doi.org/10.1107/s2056989019006194.

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In the crystal structure of the title compound, [Fe(C44H28N4)(C6H7NO)2]ClO4, the FeIII ions are coordinated in an octahedral fashion by four N atoms of the porphyrin moiety and two N atoms of two 4-methoxypyridine ligands into discrete complexes that are located on inversion centers. Charge-balance is achieved by perchlorate anions that are disordered around twofold rotation axes. In the crystal structure, the discrete cationic complexes and the perchlorate anions are arranged into layers with weak C—H...O interactions between the cations and the anions. The porphyrin moieties of neighboring layers show a herringbone-like arrangement.

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48

Klivans, Caroline J. "Threshold graphs, shifted complexes, and graphical complexes." Discrete Mathematics 307, no. 21 (October 2007): 2591–97. http://dx.doi.org/10.1016/j.disc.2006.11.018.

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49

Engström, Alexander. "Complexes of directed trees and independence complexes." Discrete Mathematics 309, no. 10 (May 2009): 3299–309. http://dx.doi.org/10.1016/j.disc.2008.09.033.

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50

Wang, Xingbao, Vincent Dorcet, Yi Luo, Jean-Francois Carpentier, and Evgueni Kirillov. "Synthesis and structure of the first discrete dinuclear cationic aluminum complexes." Dalton Transactions 45, no. 31 (2016): 12346–51. http://dx.doi.org/10.1039/c6dt02360f.

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The preparation of discrete mono- and dicationic dinuclear aluminum complexes from the parent charge neutral dinuclear precursors has been studied. The first crystal structure of a dicationic dialuminum complex is reported.

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