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The enumeration of edge colorings and Hamiltonian cycles by means of symmetric tensors

Peter Zograf
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Abstract

Following Penrose, we introduce a family of graph functions defined in terms of contractions of certain products of symmetric tensors along the edges of a graph. Special cases of these functions enumerate edge colorings and cycles of arbitrary length in graphs (in particular, Hamiltonian cycles).

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Peter Zograf. 2004-03-21. The enumeration of edge colorings and Hamiltonian cycles by means of symmetric tensors. https://arxiv.org/abs/math/0403339

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