N amed G raph s v 1.00 c AlterMundus

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7.5 Tutte-Coxeter graph II 26 7.5 Tutte-Coxeter graph II \begin{tikzpicture} \GraphInit[vstyle=Art] \SetGraphArtColor{blue}{darkgray} \grLCF[RA=7]{-13,-9,7,-7,9,13}{5} \end{tikzpicture} NamedGraphs AlterMundus
8 Chvatal 27 SECTION 8 Chvatal \grChvatal[〈options〉] From Wikipedia : http://en.wikipedia.org/wiki/Václav_Chvátal Chvátal first learned of graph theory in 1964, on finding a book by Claude Berge in a Pilsen bookstore, and his first mathematical publication, at the age of 19, concerned directed graphs that cannot be mapped to themselves by any nontrivial graph homomorphism. Gallery Theorem—which determines the number of guards required to survey the walls of a polygonal art gallery (and has prompted much research), and constructed the smallest triangle-free 4-chromatic 4-regular graph, a beautiful graph now known as the Chvatal graph. From MathWord : http://mathworld.wolfram.com/ChvatalGraph.html The Chvátal graph is a quartic graph on 12 nodes and 24 edges. It has chromatic number 4, and girth 4. MathWorld by E.Weisstein The Chvátal graph is implemented in tkz-berge as \grChvatal with three forms. 8.1 Chvatal graph I \begin{tikzpicture}[scale=.7] \GraphInit[vstyle=Shade] \SetVertexNoLabel \SetGraphShadeColor{blue!50!black}{blue}{gray} \grChvatal[RA=6,RB=2] \end{tikzpicture} NamedGraphs AlterMundus
Page 1 and 2: NamedGraphs v 1.00 c AlterMundus Al
Page 3 and 4: Contents 3 Contents 1 Andrasfai gra
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: 7.4 Tutte-Coxeter graph I 25 7.4 Tu
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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