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1

Kyōto Daigaku. Sūri Kaiseki Kenkyūjo., ed. Graph equation for line graphs and m-step graphs. Kyoto, Japan: Research Institute for Mathematical Sciences, Kyoto University, 2007.

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2

Mikov, Aleksandr. Generalized graphs and grammars. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1013698.

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The textbook deals with ordinary graphs and their generalizations-hypergraphs, hierarchical structures, geometric graphs, random and dynamic graphs. Graph grammars are considered in detail. Meets the requirements of the federal state educational standards of higher education of the latest generation. For master's students studying in the areas of the 02.00.00 group "Computer and Information Sciences", and can also be used in senior bachelor's courses and other areas in the field of computer science and computer engineering.
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3

Bader, Bonnie. Graphs. New York: Grosset & Dunlap, 2003.

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4

Harling, Paul. Graphs. London: Ward Lock Educational, 1989.

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5

Alaina, Maria. Graphs. Mankato, Minn: Capstone Press, 2012.

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6

Harling, Paul. Graphs. London: Ward Lock Educational, 1988.

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7

Harling, Paul. Graphs. London: Ward Lock Educational, 1989.

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8

Smoothey, Marion. Graphs. New York: Marshall Cavendish, 1995.

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9

Harling, Paul. Graphs. London: Ward Lock Educational, 1989.

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10

Harling, Paul. Graphs. London: Ward Lock Educational, 1988.

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11

Golumbic, Martin Charles. Algorithmic graph theory and perfect graphs. Amsterdam: Elsevier, 2004.

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12

Golumbic, Martin Charles. Algorithmic graph theory and perfect graphs. 2nd ed. Amsterdam: North Holland, 2004.

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13

L, Ramírez Alfonsin Jorge, and Reed Bruce A, eds. Perfect graphs. Chichester: John Wiley & Sons, 2001.

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14

Marr, Alison M. Magic Graphs. 2nd ed. New York, NY: Springer New York, 2013.

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15

Harling, Paul. Graphs 1. London: Ward Lock Educational, 1986.

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16

Hogan, Aidan, Claudio Gutierrez, Michael Cochcz, Gerard de Melo, Sabrina Kirranc, Axel Pollcrcs, Roberto Navigli, et al. Knowledge Graphs. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-01918-0.

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17

Bonifati, Angela, George Fletcher, Hannes Voigt, and Nikolay Yakovets. Querying Graphs. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-031-01864-0.

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18

Kaufmann, Michael, and Dorothea Wagner, eds. Drawing Graphs. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-44969-8.

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19

Fensel, Dieter, Umutcan Şimşek, Kevin Angele, Elwin Huaman, Elias Kärle, Oleksandra Panasiuk, Ioan Toma, Jürgen Umbrich, and Alexander Wahler. Knowledge Graphs. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-37439-6.

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20

Janson, Svante, Tomasz Łuczak, and Andrzej Rucinski. Random Graphs. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2000. http://dx.doi.org/10.1002/9781118032718.

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21

Wallis, W. D. Magic Graphs. Boston, MA: Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0123-6.

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22

Marr, Alison M., and W. D. Wallis. Magic Graphs. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-0-8176-8391-7.

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23

Harling, Paul. Graphs 2. London: Ward Lock Educational, 1986.

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24

illustrator, Longhi Katya, ed. Making Graphs. Mankato, MN: Riverstream Publishing, 2015.

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25

Li. Transformation graphs. [s.l.]: [s.n.], 1991.

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26

T, Trotter William, ed. Planar graphs. Providence, R.I: American Mathematical Society, 1993.

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27

Boswell, Kelly. Graphs, Graphs, Graphs! Capstone, 2013.

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28

Boswell, Kelly. Graphs, Graphs, Graphs! Capstone, 2013.

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29

Graphs, Graphs, Graphs! Capstone, 2013.

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30

Graphs, Graphs, Graphs! Capstone, 2013.

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31

Graphs (grades 2-3). Independently Published, 2022.

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32

Graph It! Making Line Graphs. Gareth Stevens Publishing, 2015.

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33

Coolen, A. C. C., A. Annibale, and E. S. Roberts. Applications of random graphs. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198709893.003.0011.

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This chapter reviews graph generation techniques in the context of applications. The first case study is power grids, where proposed strategies to prevent blackouts have been tested on tailored random graphs. The second case study is in social networks. Applications of random graphs to social networks are extremely wide ranging – the particular aspect looked at here is modelling the spread of disease on a social network – and how a particular construction based on projecting from a bipartite graph successfully captures some of the clustering observed in real social networks. The third case study is on null models of food webs, discussing the specific constraints relevant to this application, and the topological features which may contribute to the stability of an ecosystem. The final case study is taken from molecular biology, discussing the importance of unbiased graph sampling when considering if motifs are over-represented in a protein–protein interaction network.
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34

Newman, Mark. Random graphs. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805090.003.0011.

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An introduction to the mathematics of the Poisson random graph, the simplest model of a random network. The chapter starts with a definition of the model, followed by derivations of basic properties like the mean degree, degree distribution, and clustering coefficient. This is followed with a detailed derivation of the large-scale structural properties of random graphs, including the position of the phase transition at which a giant component appears, the size of the giant component, the average size of the small components, and the expected diameter of the network. The chapter ends with a discussion of some of the shortcomings of the random graph model.
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35

Berge, C. Graphs. Elsevier Science & Technology Books, 1985.

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36

Pistoia, Sara. Graphs. The Child's World, Inc, 2014.

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37

Pistoia, Sara. Graphs. Child's World, Incorporated, The, 2013.

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38

Graphs. Mankato, MN: Child's World, 2014.

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39

Bader, Bonnie. Graphs. Turtleback Books Distributed by Demco Media, 2003.

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40

Aley Robert J (Robert Judson). Graphs. Creative Media Partners, LLC, 2022.

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41

Pistoia, Sara. Graphs. Child's World, Incorporated, The, 2013.

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42

Alaina, Maria. Graphs. Capstone, 2021.

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43

Saoub, Karin R. Graphs. Taylor & Francis Group, 2021.

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44

Alaina, Maria. Graphs. Capstone, 2013.

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45

Alaina, Maria. Graphs. Capstone, 2012.

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46

Blundy, Howard. Graphs. Institution of Electrical and Electronics Incorporated Engineers, 1987.

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47

Alaina, Maria. Graphs. Capstone, 2021.

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48

Alaina, Maria. Graphs. Capstone, 2013.

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49

Pistoia, Sara. Graphs. Child's World, Incorporated, The, 2011.

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50

Alaina, Maria. Graphs. Capstone, 2011.

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