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1

Adamides, E. D., Ph Tsalides, and A. Thanailakis. "Hierarchical cellular automata structures." Parallel Computing 18, no. 5 (May 1992): 517–24. http://dx.doi.org/10.1016/0167-8191(92)90087-n.

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2

Ozugur, T. "Hierarchical provisioning for cellular networks." IEEE Transactions on Wireless Communications 4, no. 2 (March 2005): 775–91. http://dx.doi.org/10.1109/twc.2004.840261.

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Moghaddam, Seyed Hojat Pakzad, Farhad Salehian, Seyed Esa Hosseini, and Hassan Mina. "A hierarchical cellular manufacturing system." International Journal of Mathematics in Operational Research 13, no. 1 (2018): 47. http://dx.doi.org/10.1504/ijmor.2018.092960.

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Mina, Hassan, Seyed Esa Hosseini, Farhad Salehian, and Seyed Hojat Pakzad Moghaddam. "A hierarchical cellular manufacturing system." International Journal of Mathematics in Operational Research 13, no. 1 (2018): 47. http://dx.doi.org/10.1504/ijmor.2018.10013169.

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BAAS, NILS A., and TORBJØRN HELVIK. "HIGHER ORDER CELLULAR AUTOMATA." Advances in Complex Systems 08, no. 02n03 (June 2005): 169–92. http://dx.doi.org/10.1142/s0219525905000403.

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We introduce a class of dynamical systems called Higher Order Cellular Automata (HOCA). These are based on ordinary CA, but have a hierarchical, or multi-level, structure and/or dynamics. We present a detailed formalism for HOCA and illustrate the concepts through four examples. Throughout the article we emphasize the principles and ideas behind the construction of HOCA, such that these easily can be applied to other types of dynamical systems. The article also presents new concepts and ideas for describing and studying hierarchial dynamics in general.
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6

Hamouda, Abdel Magid. "Hierarchical Cellular Structures with Tailorable Proparties." Qatar Foundation Annual Research Forum Proceedings, no. 2011 (November 2011): EGO2. http://dx.doi.org/10.5339/qfarf.2011.ego2.

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Gutowitz, Howard A. "A hierarchical classification of cellular automata." Physica D: Nonlinear Phenomena 45, no. 1-3 (September 1990): 136–56. http://dx.doi.org/10.1016/0167-2789(90)90179-s.

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Qin, Yao, Mengyang Feng, Huchuan Lu, and Garrison W. Cottrell. "Hierarchical Cellular Automata for Visual Saliency." International Journal of Computer Vision 126, no. 7 (February 23, 2018): 751–70. http://dx.doi.org/10.1007/s11263-017-1062-2.

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Xiao, Yang, Hui Chen, Xiaojiang Du, Yan Zhang, Hsiao-Hwa Chen, and Mohsen Guizani. "On hierarchical pipeline paging in multi-tier overlaid hierarchical cellular networks." IEEE Transactions on Wireless Communications 8, no. 9 (September 2009): 4406–10. http://dx.doi.org/10.1109/twc.2009.080717.

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10

Boggia, G., P. Camarda, and N. Di Fonzo. "Teletraffic analysis of hierarchical cellular communication networks." IEEE Transactions on Vehicular Technology 52, no. 4 (July 2003): 931–46. http://dx.doi.org/10.1109/tvt.2003.808804.

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11

Ongaro, F., E. Barbieri, and N. M. Pugno. "Mechanics of mutable hierarchical composite cellular materials." Mechanics of Materials 124 (September 2018): 80–99. http://dx.doi.org/10.1016/j.mechmat.2018.05.006.

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12

Sung-Hong Wie, Jae-Shin Jang, Byung-Cheol Shin, and Dong-Ho Cho. "Handoff analysis of the hierarchical cellular system." IEEE Transactions on Vehicular Technology 49, no. 5 (2000): 2027–36. http://dx.doi.org/10.1109/25.892604.

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13

Zhang, Y., and B. H. Soong. "Channel Holding Time in Hierarchical Cellular Systems." IEEE Communications Letters 8, no. 10 (October 2004): 614–16. http://dx.doi.org/10.1109/lcomm.2004.835342.

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14

Kalvenes, Joakim, Jeffery Kennington, and Eli Olinick. "Hierarchical cellular network design with channel allocation." European Journal of Operational Research 160, no. 1 (January 2005): 3–18. http://dx.doi.org/10.1016/j.ejor.2003.06.017.

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15

Tsai, Hsien-Ming, Ai-Chun Pang, Yung-Chun Lin, and Yi-Bing Lin. "Repacking on Demand for Hierarchical Cellular Networks." Wireless Networks 11, no. 6 (November 2005): 719–28. http://dx.doi.org/10.1007/s11276-005-3526-5.

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16

Zhang, Yuwu, Yuliang Lin, and Xiangcheng Li. "Plastic Crushing Failure of Bio-Inspired Cellular Hierarchical Topological Sandwich Core." Materials 14, no. 17 (September 3, 2021): 5040. http://dx.doi.org/10.3390/ma14175040.

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Bio-inspired self-similar hierarchical honeycombs are multifunctional cellular topologies used for resisting various loadings. However, the crushing behavior under large plastic deformation is still unknown. This paper investigates the in-plane compressive response of selective laser melting (SLM) fabricated hierarchical honeycombs. The effects of hierarchical order, relative density as well as constituent material are evaluated. The results show that at small deformation, the AlSi10Mg alloy hierarchical honeycombs show great advantages over the elastic modulus and compressive strength than 316L steel hierarchical honeycombs. As the relative density and hierarchical order increase, the failure mechanism of AlSi10Mg alloy honeycombs gradually changes from a bending-dominated mode to a fracture-dominated mode; whereas all the 316L steel honeycombs fail due to the distortion of original unit cells. At large deformation, the AlSi10Mg alloy honeycombs behave with brittle responses, while the 316L steel honeycombs exhibit ductile responses, showing a negative Poisson’s ratio behavior and gradient deformation of hierarchical unit cells. The addition of unit cell refinements improves the elastic modulus of AlSi10Mg alloy honeycombs and advances the densification of 316L steel honeycombs. In addition, the effect of constituent material on the compressive response of hierarchical honeycombs has been discussed. This study facilitates the development and future potential application of multifunctional ultra-light sandwich structures.
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17

Kim, J. Y., G. L. Stuber, I. F. Akyildiz, and B. Y. Chung. "Soft Handoff Analysis of Hierarchical CDMA Cellular Systems." IEEE Transactions on Vehicular Technology 54, no. 3 (May 2005): 1122–34. http://dx.doi.org/10.1109/tvt.2005.844680.

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18

Bruggeman, F. J., J. de Haan, H. Hardin, J. Bouwman, S. Rossell, K. van Eunen, B. M. Bakker, and H. V. Westerhoff. "Time-dependent hierarchical regulation analysis: deciphering cellular adaptation." IEE Proceedings - Systems Biology 153, no. 5 (2006): 318. http://dx.doi.org/10.1049/ip-syb:20060027.

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19

Shum, K., and Chi Wan Sung. "Fuzzy layer selection method in hierarchical cellular systems." IEEE Transactions on Vehicular Technology 48, no. 6 (1999): 1840–49. http://dx.doi.org/10.1109/25.806777.

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20

Zhu, Xiaorong, Mengrong Li, Wenchao Xia, and Hongbo Zhu. "A novel handoff algorithm for hierarchical cellular networks." China Communications 13, no. 8 (August 2016): 136–47. http://dx.doi.org/10.1109/cc.2016.7563716.

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21

Lu, Ssu-Han, Li-Chun Wang, Tsung-Ting Chiang, and Chen-Hsiao Chou. "Cooperative Hierarchical Cellular Systems in LTE-A Networks." IEEE Systems Journal 9, no. 3 (September 2015): 766–74. http://dx.doi.org/10.1109/jsyst.2013.2296980.

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22

Colombo, P. "Cellular Ceramics with Hierarchical Porosity from Preceramic Polymers." IOP Conference Series: Materials Science and Engineering 18, no. 1 (May 1, 2011): 012002. http://dx.doi.org/10.1088/1757-899x/18/1/012002.

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23

Fourneau, J. M., L. Kloul, and F. Valois. "Performance modelling of hierarchical cellular networks using PEPA." Performance Evaluation 50, no. 2-3 (November 2002): 83–99. http://dx.doi.org/10.1016/s0166-5316(02)00101-3.

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24

Liu, An, and Vincent Lau. "Hierarchical Interference Mitigation for Massive MIMO Cellular Networks." IEEE Transactions on Signal Processing 62, no. 18 (September 2014): 4786–97. http://dx.doi.org/10.1109/tsp.2014.2340814.

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25

Kim, J. Y., G. L. Stuber, and I. F. Akyildiz. "Macrodiversity power control in hierarchical CDMA cellular systems." IEEE Journal on Selected Areas in Communications 19, no. 2 (2001): 266–76. http://dx.doi.org/10.1109/49.914504.

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26

Gin, Aaron, Sara Williams, Haoyu Meng, and P. Douglas Tougaw. "Hierarchical design of quantum-dot cellular automata devices." Journal of Applied Physics 85, no. 7 (April 1999): 3713–20. http://dx.doi.org/10.1063/1.369737.

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27

Lon-Rong Hu and S. S. Rappaport. "Personal communication systems using multiple hierarchical cellular overlays." IEEE Journal on Selected Areas in Communications 13, no. 2 (1995): 406–15. http://dx.doi.org/10.1109/49.345885.

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28

Xiaoxin Wu, B. Mukherjee, and D. Ghosal. "Hierarchical architectures in the third-generation-cellular Network." IEEE Wireless Communications 11, no. 3 (June 2004): 62–71. http://dx.doi.org/10.1109/mwc.2004.1308951.

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29

Kiester, A. Ross, and Kevin Sahr. "Planar and spherical hierarchical, multi-resolution cellular automata." Computers, Environment and Urban Systems 32, no. 3 (May 2008): 204–13. http://dx.doi.org/10.1016/j.compenvurbsys.2008.03.001.

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30

Yang, Peng, Dou Liu, and Yan Zhang. "Performance Analysis of Joint Base-Station Multiantenna Multibeam and Channel Assignment Scheme for Hierarchical Cellular System." International Journal of Antennas and Propagation 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/216890.

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Different from the traditional configuration of hierarchical cellular, we introduce the joint base-station multi-antenna multi-beam and channel assignment scheme for hierarchical cellular in this paper. The proposed scheme is based on multi-beam base-station antenna splitting in the elevation-radiating plane, and a dynamic channel allocation scheme by combining the adaptive antenna technologies. Simulation results show that the proposed configuration of the hierarchical cellular can enhance the spectral efficiency remarkably.
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31

Du, Ke, та Zhihua Gan. "Cellular Interactions on Hierarchical Poly(ε-caprolactone) Nanowire Micropatterns". ACS Applied Materials & Interfaces 4, № 9 (20 серпня 2012): 4643–50. http://dx.doi.org/10.1021/am301013e.

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32

Lipp, Peter, and Ernst Niggli. "A hierarchical concept of cellular and subcellular Ca2+-signalling." Progress in Biophysics and Molecular Biology 65, no. 3 (January 1996): 265–96. http://dx.doi.org/10.1016/s0079-6107(96)00014-4.

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33

Chengshan Xiao, K. D. Mann, and J. C. Olivier. "Mobile speed estimation for TDMA-based hierarchical cellular systems." IEEE Transactions on Vehicular Technology 50, no. 4 (July 2001): 981–91. http://dx.doi.org/10.1109/25.938574.

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34

Chung, Shun-Ping, and Jin-Chang Lee. "Mobility-dependent call admission control in hierarchical cellular networks." Computer Communications 25, no. 7 (May 2002): 700–713. http://dx.doi.org/10.1016/s0140-3664(01)00398-x.

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35

Lo, Kuen-Rong, Chung-Ju Chang, Cooper Chang, and C. Bernard Shung. "A combined channel assignment mechanism for hierarchical cellular systems." Computer Communications 21, no. 13 (September 1998): 1143–52. http://dx.doi.org/10.1016/s0140-3664(98)00177-7.

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36

TANG, C., and L. L. ABDEL-MALEK. "A framework for hierarchical interactive generation of cellular layout*." International Journal of Production Research 34, no. 8 (August 1996): 2133–62. http://dx.doi.org/10.1080/00207549608905018.

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37

Mukhopadhyay, Sharmila M., Anil Karumuri, and Ian T. Barney. "Hierarchical nanostructures by nanotube grafting on porous cellular surfaces." Journal of Physics D: Applied Physics 42, no. 19 (September 18, 2009): 195503. http://dx.doi.org/10.1088/0022-3727/42/19/195503.

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38

Xiao, Yang, Hui Chen, Mohsen Guizani, and Hsiao-Hwa Chen. "Optimal Pipeline Paging Load Balancing for Hierarchical Cellular Networks." IEEE Transactions on Mobile Computing 11, no. 9 (September 2012): 1532–44. http://dx.doi.org/10.1109/tmc.2011.166.

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39

Cui, Wei, and Mostafa A. Bassiouni. "Analysis of hierarchical cellular networks with mobile base stations." Wireless Communications and Mobile Computing 2, no. 2 (2002): 131–49. http://dx.doi.org/10.1002/wcm.45.

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40

Bührig-Polaczek, A., C. Fleck, T. Speck, P. Schüler, S. F. Fischer, M. Caliaro, and M. Thielen. "Biomimetic cellular metals—using hierarchical structuring for energy absorption." Bioinspiration & Biomimetics 11, no. 4 (July 19, 2016): 045002. http://dx.doi.org/10.1088/1748-3190/11/4/045002.

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41

Menachi, Eliav, and Ran Giladi. "Hierarchical Ethernet Transport Network Architecture for backhaul cellular networks." Wireless Networks 19, no. 8 (April 4, 2013): 1933–43. http://dx.doi.org/10.1007/s11276-013-0578-9.

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42

Fan, H. L., F. N. Jin, and D. N. Fang. "Mechanical properties of hierarchical cellular materials. Part I: Analysis." Composites Science and Technology 68, no. 15-16 (December 2008): 3380–87. http://dx.doi.org/10.1016/j.compscitech.2008.09.022.

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43

Yan, Zhang, and Soong Boon-Hee. "Handoff counting in hierarchical cellular system with overflow scheme." Computer Networks 46, no. 4 (November 2004): 541–54. http://dx.doi.org/10.1016/j.comnet.2004.05.002.

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44

Latypov, Marat I., Dong Jun Lee, Ha-Guk Jeong, Jong Beom Lee, and Hyoung Seop Kim. "Design of Hierarchical Cellular Metals Using Accumulative Bundle Extrusion." Metallurgical and Materials Transactions A 44, no. 9 (June 25, 2013): 4031–36. http://dx.doi.org/10.1007/s11661-013-1844-2.

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45

GÖTZ, IVAN, ISAAK RUBINSTEIN, EUGENE TZVETKOV, and BORIS ZALTZMAN. "COMPLEXITY AND HIERARCHICAL MAJORITY RULE." International Journal of Modern Physics C 15, no. 03 (March 2004): 427–33. http://dx.doi.org/10.1142/s0129183104005838.

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Hierarchical structure is an essential part of complexity, an important notion relevant for a wide range of applications ranging from biological population dynamics through robotics to social sciences. In this paper we propose a simple cellular-automata tool for study of hierarchical population dynamics.
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46

Gibson, Lorna J. "The hierarchical structure and mechanics of plant materials." Journal of The Royal Society Interface 9, no. 76 (August 8, 2012): 2749–66. http://dx.doi.org/10.1098/rsif.2012.0341.

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The cell walls in plants are made up of just four basic building blocks: cellulose (the main structural fibre of the plant kingdom) hemicellulose, lignin and pectin. Although the microstructure of plant cell walls varies in different types of plants, broadly speaking, cellulose fibres reinforce a matrix of hemicellulose and either pectin or lignin. The cellular structure of plants varies too, from the largely honeycomb-like cells of wood to the closed-cell, liquid-filled foam-like parenchyma cells of apples and potatoes and to composites of these two cellular structures, as in arborescent palm stems. The arrangement of the four basic building blocks in plant cell walls and the variations in cellular structure give rise to a remarkably wide range of mechanical properties: Young's modulus varies from 0.3 MPa in parenchyma to 30 GPa in the densest palm, while the compressive strength varies from 0.3 MPa in parenchyma to over 300 MPa in dense palm. The moduli and compressive strength of plant materials span this entire range. This study reviews the composition and microstructure of the cell wall as well as the cellular structure in three plant materials (wood, parenchyma and arborescent palm stems) to explain the wide range in mechanical properties in plants as well as their remarkable mechanical efficiency.
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47

Xie, Youtao, Haiyong Ao, Shigang Xin, Xuebin Zheng, and Chuanxian Ding. "Enhanced cellular responses to titanium coating with hierarchical hybrid structure." Materials Science and Engineering: C 38 (May 2014): 272–77. http://dx.doi.org/10.1016/j.msec.2014.02.004.

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48

Merk, Vivian, John K. Berg, Christina Krywka, and Ingo Burgert. "Oriented Crystallization of Barium Sulfate Confined in Hierarchical Cellular Structures." Crystal Growth & Design 17, no. 2 (January 19, 2017): 677–84. http://dx.doi.org/10.1021/acs.cgd.6b01517.

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49

Burgueño, Rigoberto, Mario J. Quagliata, Amar K. Mohanty, Geeta Mehta, Lawrence T. Drzal, and Manjusri Misra. "Hierarchical cellular designs for load-bearing biocomposite beams and plates." Materials Science and Engineering: A 390, no. 1-2 (January 2005): 178–87. http://dx.doi.org/10.1016/j.msea.2004.08.034.

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50

Zhu, Kun, and Ekram Hossain. "Virtualization of 5G Cellular Networks as a Hierarchical Combinatorial Auction." IEEE Transactions on Mobile Computing 15, no. 10 (October 1, 2016): 2640–54. http://dx.doi.org/10.1109/tmc.2015.2506578.

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