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On the Number of 3-Edge Colorings of Cubic Graphs

✍ Scribed by Christian Szegedy

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
127 KB
Volume
23
Category
Article
ISSN
0195-6698

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✦ Synopsis

In this paper we present a short algebraic proof for a generalization of a formula of R. Penrose, Some applications of negative dimensional tensors, in: Combinatorial Mathematics and its Applications Welsh (ed.), Academic Press, 1971, pp. 221-244 on the number of 3-edge colorings of a plane cubic graph. We also show that the number of 3-edge colorings of cubic graphs can be computed (up to a factor of 2 |E|/3-1 ) by evaluating the Penrose polynomial of their cycle space at 4.

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