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1

Bang-Jensen, Jørgen, and Gregory Gutin, eds. Classes of Directed Graphs. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71840-8.

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2

Linda, Lesniak, and Behzad Mehdi, eds. Graphs & digraphs. 2nd ed. Monterey, Calif: Wadsworth & Brooks/Cole Advanced Books & Software, 1986.

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3

Linda, Lesniak, ed. Graphs & digraphs. 4th ed. Boca Raton: Chapman & Hall/CRC, 2005.

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4

Andrei, Neculai. Sparse systems: Digraph approach of large-scale linear systems theory. Köln: Verlag TÜV Rheinland, 1985.

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5

Frieze, H. M. An algorithm for finding Hamilton cycles in random directed graphs. London: Queen Mary College, Department of Computer Science and Statistics, 1987.

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6

Araújo, Paulo Ventura. Almost flow equivalence and the loop structure of directed graphs. [s.l.]: typescript, 1992.

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7

Tomboulian, Sherryl. A system for routing arbitrary directed graphs on SIMD architectures. Hampton, Va: ICASE, 1987.

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8

Tang, Xiaowei. Thre e extensions to force-directed placement for general graphs. Dublin: University College Dublin, 1998.

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9

Dror, Moshe. Directed Steiner tree problem on a graph: Models, relaxations, and algorithms. Monterey, Calif: Naval Postgraduate School, 1988.

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10

Reinschke, K. J. Multivariable control: A graph-theoretic approach. Berlin: Springer-Verlag, 1988.

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11

Reinschke, K. J. Multivariable Control: A graph-theoretic approach. Berlin: Akademie-Verlag, 1988.

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12

Yao, Qing. Directed acyclic graphs, linear recursive regression, and inference about causal ordering. Toronto: University of Toronto, Dept. of Statistics, 1993.

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13

Cherlin, Gregory L. The classification of countable homogeneous directed graphs and countable homogeneous n-tournaments. Providence, R.I: American Mathematical Society, 1998.

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14

Walter, Gilbert G. Compartmental modeling with networks. Boston: Birkhäuser, 1999.

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15

Voshtina, Oltion. A value for digraph-restricted games. Arlington: Dept. of Mathematics, University of Texas at Arlington, 1997.

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16

Lin, I.-Jong. Video object extraction and representation: Theory and applications. Boston, Mass: Kluwer Academic Publisher, 2000.

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17

Olsen, Lars. Random geometrically graph directed self-similar multifractals. Harlow, Essex, England: Longman Scientific & Technical, 1994.

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18

Olsen, Lars. Random geometrically graph directed self-similar multifractals. New York: Longman Scientific & Technical, 1994.

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19

Mariusz, Urbaʹnski, ed. Graph directed Markov systems: Geometry and dynamics of limit sets. Cambridge: Cambridge University Press, 2003.

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20

Walnum, Clayton. Direct3D Programming Kick Start. Upper Saddle River: Pearson Education, 2005.

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21

Thorn, Alan. DirectX 9 graphics: The definitive guide to Direct3D. Plano, TX: Wordware Pub., 2005.

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22

Henderson, Chuck. Mastering Macromedia Director. San Francisco, Calif: SYBEX, 1999.

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23

Matt, Pettineo, and Hoxley Jack, eds. Practical rendering and computation with Direct3D 11. Boca Raton: CRC Press, 2011.

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24

Seslavin, Andrey. Theory of automatic control. Linear, continuous systems. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1014654.

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The textbook presents the basics of the classical theory of automatic control, based on mathematical models of real systems, given in the form of systems of linear differential equations with constant coefficients. Methods based on Laplace and Fourier transforms, stability, controllability, and observability theory, as well as directed graph theory and linear algebra are used. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of higher educational institutions studying in the areas of training and specialties 15.00.00 "Mechanical Engineering", 27.00.00 "Management in technical systems".
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25

Glidden, Rob. Graphics programming with Direct3D: Techniques and concepts. Reading, Mass: Addison-Wesley Developers Press, 1997.

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26

Kovach, Peter J. The awesome power of Direct 3D/Direct X. Greenwich, CT: Manning Publications, 1998.

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27

Group, Epic Software, ed. Director 8.5 Shockwave Studio interface design. Indianapolis, In: New Riders, 2002.

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28

Gutin, Gregory, and Jørgen Bang-Jensen. Classes of Directed Graphs. Springer, 2019.

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29

Gutin, Gregory, and Jørgen Bang-Jensen. Classes of Directed Graphs. Springer International Publishing AG, 2018.

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30

Graphs and Digraphs. Wadsworth Publishing, 1986.

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31

Lesniak, L., and Gary Chartrand. Graphs & Digraphs, Third Edition. Chapman & Hall/CRC, 1996.

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32

Pancer, Richard Norman. GED - a graph EDitor for labelled simple directed acyclic graphs. 1985.

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33

Graphs & Digraphs. Chapman and Hall/CRC, 2015.

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34

Contributions to the theory of causal directed acyclic graphs. 2006.

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35

Jordon, Heather. Graphs and Digraphs. CRC Press LLC, 2024.

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36

Zhang, Ping, Gary Chartrand, and Linda Lesniak. Graphs and Digraphs. Taylor & Francis Group, 2015.

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37

Zhang, Ping, Gary Chartrand, and Linda Lesniak. Graphs and Digraphs. Taylor & Francis Group, 2015.

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38

Zhang, Ping, Gary Chartrand, and Linda Lesniak. Graphs and Digraphs. Taylor & Francis Group, 2015.

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39

Zhang, Ping, Gary Chartrand, and Linda Lesniak. Graphs and Digraphs. Taylor & Francis Group, 2015.

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40

Jordon, Heather. Graphs and Digraphs. Taylor & Francis Group, 2024.

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41

Jordon, Heather. Graphs and Digraphs. CRC Press LLC, 2024.

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42

Jordon, Heather. Graphs and Digraphs. Taylor & Francis Group, 2024.

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43

Lesniak, L., and Gary Chartrand. Graphs & Digraphs, Fourth Edition. 4th ed. Chapman & Hall/CRC, 2004.

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44

Polyhedral combinatorics and the acyclic subdigraph problem. Berlin: Heldermann, 1985.

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45

Coolen, A. C. C., A. Annibale, and E. S. Roberts. Soft constraints: exponential random graph models. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198709893.003.0004.

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Exponential random graph models (ERGMs) provide conceptually elegant recipes for generating soft-constrained random graphs. This chapter begins by explaining the theory and describing how to properly specify an ERGM, including demonstrating Lagrange’s method to derive the values of the model parameters that correspond to the desired constraints. Three ERGMs, all with constraints depending linearly on the adjacency matrix, are solved exactly: the targeted total number of links, targeted individual node degrees and targeted number of two-way links in a directed graph. However, when the controlled features become more complicated, ERGMs have a tendency to produce graphs in extreme phases (very dense or very sparse). The two-star model and the Strauss model are worked through in detail using advanced techniques from statistical mechanics in order to analyze the phase transitions. The chapter closes with a discussion of the strengths and weaknesses of ERGMs as null models.
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46

Kung, S. Y., and I.-Jong Lin. Video Object Extraction and Representation: Theory and Applications (The Springer International Series in Engineering and Computer Science). Springer, 2000.

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47

Bang-Jensen, Jorgen, and Gregory Z. Gutin. Digraphs: Theory, Algorithms and Applications. Springer, 2013.

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48

Bang-Jensen, Jorgen, and Gregory Gutin. Digraphs: Theory, Algorithms and Applications. Springer, 2002.

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49

Woodward, James. Causation in Science. Edited by Paul Humphreys. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199368815.013.8.

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This article discusses some philosophical theories of causation and their application to several areas of science. Topics addressed include regularity, counterfactual, and causal process theories of causation; the causal interpretation of structural equation models and directed graphs; independence assumptions in causal reasoning; and the role of causal concepts in physics. In connection with this last topic, this article focuses on the relationship between causal asymmetries, the time-reversal invariance of most fundamental physical laws, and the significance of differences among varieties of differential equations (e.g., hyperbolic versus nonhyperbolic) in causal interpretation. It concludes with some remarks about “grounding” special science causal generalizations in physics.
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50

Woodward, James. Causation in Science. Edited by Paul Humphreys. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199368815.013.8_update_001.

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This article discusses some philosophical theories of causation and their application to several areas of science. Topics addressed include regularity, counterfactual, and causal process theories of causation; the causal interpretation of structural equation models and directed graphs; independence assumptions in causal reasoning; and the role of causal concepts in physics. In connection with this last topic, this article focuses on the relationship between causal asymmetries, the time-reversal invariance of most fundamental physical laws, and the significance of differences among varieties of differential equations (e.g., hyperbolic versus nonhyperbolic) in causal interpretation. It concludes with some remarks about “grounding” special science causal generalizations in physics.
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