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arXiv · 1510.08777

Counting covering cycles

G. A. T. F da Costa·M. Policarpo
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Abstract

We compute the number of equivalence classes of nonperiodic covering cycles of given length in a non oriented connected graph. A covering cycle is a closed path that traverses each edge of the graph at least once. A special case is the number of Euler cycles in the non oriented graph. An identity relating the numbers of covering cycles of any length in a graph to a product of determinants is obtained.

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G. A. T. F da Costa, M. Policarpo. 2015-10-29. Counting covering cycles. https://arxiv.org/abs/1510.08777

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