The Petersen graph occupies an important position in the development of several areas of modern graph theory because it often appears as a counter-example to important conjectures. In this account, the authors examine those areas, using the prominent role of the Petersen graph as a unifying feature. Topics covered include: vertex and edge colourability (including snarks), factors, flows, projective geometry, cages, hypohamiltonian graphs, and 'symmetry' properties such as distance transitivity. The final chapter contains a pot-pourri of other topics in which the Petersen graph has played its part. Undergraduate students will be able to profit from reading this book as the prerequisites are few; thus it could be used for a second course in graph theory. On the other hand, the authors have also included a number of unsolved problems as well as topics of recent study. Thus it will also be useful as a reference for graph theorists.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Etat : New. The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature. Series Editor(s): Murray, Dr Michael; Broadbridge, Philip; Heyde, Chris; Pearce, Charles; Praeger, Cheryl. Series: Australian Mathematical Society Lecture Series. Num Pages: 364 pages, 46 b/w illus. BIC Classification: PBC; PBV. Category: (U) Tertiary Education (US: College). Dimension: 231 x 153 x 30. Weight in Grams: 556. . 2008. First Edition. paperback. . . . . N° de réf. du vendeur V9780521435949
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Etat : New. The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature. Series Editor(s): Murray, Dr Michael; Broadbridge, Philip; Heyde, Chris; Pearce, Charles; Praeger, Cheryl. Series: Australian Mathematical Society Lecture Series. Num Pages: 364 pages, 46 b/w illus. BIC Classification: PBC; PBV. Category: (U) Tertiary Education (US: College). Dimension: 231 x 153 x 30. Weight in Grams: 556. . 2008. First Edition. paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780521435949
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