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 ...
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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.
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Add this copy of The Petersen Graph (Australian Mathematical Society to cart. $66.18, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1993 by Cambridge University Press.
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New. Print on demand Trade paperback (US). Contains: Line drawings. Australian Mathematical Society Lecture Series . 46 b/w illus. Intended for college/higher education audience.
Add this copy of The Petersen Graph (Australian Mathematical Society to cart. $83.43, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 1993 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings. Australian Mathematical Society Lecture Series . 46 b/w illus. Intended for college/higher education audience.
Add this copy of The Petersen Graph to cart. $98.78, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 1993 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings. Australian Mathematical Society Lecture Series . 46 b/w illus. Intended for college/higher education audience.
Add this copy of The Petersen Graph (Australian Mathematical Society to cart. $112.92, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1993 by Cambridge University Press.