N amed G raph s v 1.00 c AlterMundus

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NamedGraphs AlterMundus Alain Matthes NamedGraphs.pdf is not a beginner or advanced tutorial, not a study of graphs, it’s only a gallery of undirected graphs made with the package tkz-berge.sty v 1.00 c. Some of graphs have names, sometimes inspired by the graph’s topology, and sometimes after their discoverer. NamedGraphs.pdf presents some of them. A lot of references can be found here http://mathworld.wolfram.com Firstly, I would like to thank Till Tantau for the beautiful LATEX package, namely TikZ. I am grateful to Michel Bovani for providing the fourier font. I received much valuable advice and guidance on Graph Theory from Rafael Villarroel http://graphtheoryinlatex.blogspot.com/. The names of graphs can be found here MathWorld by E.Weisstein
Contents 3 Contents 1 Andrasfai graph 6 1.1 Andrásfai graph : k=7, order 20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Andrásfai graph : k=8, order 23 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.3 Andrásfai graph : k=9, order 26 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2 Balaban 9 2.1 Balaban graph : first form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Balaban graph : second form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.3 Balaban graph : third form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.4 Balaban graph : Balaban 11-Cage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3 Complete BiPartite Graph 13 3.1 Complete bipartite graphs K 3,2 and K 3,3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.2 Complete bipartite graphs K 3,5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.3 Complete bipartite graph : K 18,18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4 Bull 18 5 Cage 19 6 Cocktail Party graph 20 6.1 Cocktail Party graph form 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 6.2 Cocktail Party graph form 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 7 Coxeter 22 7.1 Coxeter graph I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 7.2 Coxeter graph II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 7.3 Coxeter graph III . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 7.4 Tutte-Coxeter graph I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 7.5 Tutte-Coxeter graph II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 8 Chvatal 27 8.1 Chvatal graph I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 8.2 Chvatal graph II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 8.3 Chvatal graph III . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 9 Crown 30 9.1 Crown graph form 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 9.2 Crown graph form 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 10 Cubic Symmetric Graphs 32 10.1 Cubic Symmetric Graph form 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 10.2 Cubic Symmetric Graph form 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 11 Desargues 34 11.1 The Desargues graph : form 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 11.2 The Desargues graph : form 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 11.3 The Desargues graph wth LCF notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 11.4 The Desargues graph with \grGeneralizedPetersen . . . . . . . . . . . . . . . . . . . . . . . . . 37 NamedGraphs AlterMundus
Page 1: NamedGraphs v 1.00 c AlterMundus Al
Page 5 and 6: Contents 5 24 Pappus 79 24.1 Pappus
Page 7 and 8: 1.2 Andrásfai graph : k=8, order 2
Page 9 and 10: 2 Balaban 9 SECTION 2 Balaban \grBa
Page 11 and 12: 2.3 Balaban graph : third form 11 2
Page 13 and 14: 3 Complete BiPartite Graph 13 SECTI
Page 15 and 16: 3.3 Complete bipartite graph : K 18
Page 17 and 18: 3.3 Complete bipartite graph : K 18
Page 19 and 20: 5 Cage 19 SECTION 5 Cage \Cage Grap
Page 21 and 22: 6.2 Cocktail Party graph form 2 21
Page 23 and 24: 7.2 Coxeter graph II 23 7.2 Coxeter
Page 25 and 26: 7.4 Tutte-Coxeter graph I 25 7.4 Tu
Page 27 and 28: 8 Chvatal 27 SECTION 8 Chvatal \grC
Page 29 and 30: 8.3 Chvatal graph III 29 8.3 Chvata
Page 31 and 32: 9.2 Crown graph form 2 31 9.2 Crown
Page 33 and 34: 10.2 Cubic Symmetric Graph form 2 3
Page 35 and 36: 11.2 The Desargues graph : form 2 3
Page 37 and 38: 11.4 The Desargues graph with \grGe
Page 39 and 40: 12.2 The Doyle graph : form 2 39 12
Page 41 and 42: 12.4 27 nodes but not isomorphic to
Page 43 and 44: 13.2 Folkman Graph embedding 1 43 1
Page 45 and 46: 13.4 Folkman Graph embedding 3 45 1
Page 47 and 48: 15 Franklin 47 SECTION 15 Franklin
Page 49 and 50: 15.3 The Franklin graph : with LCF
Page 51 and 52: 17 Groetzsch 51 SECTION 17 Groetzsc
Page 53 and 54:
17.2 Grotzsch Graph : second form 5
Page 55 and 56:
18 Heawood graph 55 SECTION 18 Heaw
Page 57 and 58:
18.2 Heawood graph with LCF notatio
Page 59 and 60:
19.1 The hypercube graph Q 4 59 Nam
Page 61 and 62:
20 The Seven Bridges of Königsberg
Page 63 and 64:
20.2 \Königsberg graph : fine embe
Page 65 and 66:
21.1 Levy graph :form 1 65 Now I sh
Page 67 and 68:
22 Mc Gee 67 SECTION 22 Mc Gee \grM
Page 69 and 70:
22.2 McGee graph with \grLCF 69 Oth
Page 71 and 72:
23 Möbius-Kantor Graph 71 SECTION
Page 73 and 74:
23.2 Möbius Graph : form II 73 23.
Page 75 and 76:
23.4 Möbius Graph with LCF notatio
Page 77 and 78:
23.6 Möbius Ladder Graph 77 A Möb
Page 79 and 80:
24 Pappus 79 SECTION 24 Pappus \grP
Page 81 and 82:
24.3 Pappus Graph : form 3 81 24.3
Page 83 and 84:
25.2 Petersen graph : form 2 83 25.
Page 85 and 86:
25.4 The line graph of the Petersen
Page 87 and 88:
25.6 The Petersen graph GP(5,2) 87
Page 89 and 90:
25.8 Generalized Petersen graph GP(
Page 91 and 92:
26 The five Platonics Graphs 91 SEC
Page 93 and 94:
26.3 Octahedral 93 \grOctahedral[
Page 95 and 96:
26.4 Cubical Graph : form 1 95 \grC
Page 97 and 98:
26.6 Cubical LCF embedding 97 26.6
Page 99 and 100:
26.8 Icosahedral forme 2 99 26.8 Ic
Page 101 and 102:
26.10 Icosahedral LCF embedding 1 1
Page 103 and 104:
26.12 Dodecahedral 103 \grDodecahed
Page 105 and 106:
26.14 Dodecahedral LCF embedding 10
Page 107 and 108:
27.2 Fine embedding of the Robertso
Page 109 and 110:
27.3 Robertson graph with new style
Page 111 and 112:
27.4 Robertson-Wegner graph 111 \gr
Page 113 and 114:
29 Wong 113 SECTION 29 Wong \grWong
Page 115:
Index 115 \grOctahedral[〈RA=〈Nu
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N amed G raph s v 1.00 c AlterMundus

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