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arXiv · 1905.04551

Perfect Pseudo-Matchings in cubic graphs

Herbert Fleischner·Behrooz Bagheri Gh.·Benedikt Klocker
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Abstract

A perfect pseudo-matching M in a cubic graph G is a spanning subgraph of G such that every component of M is isomorphic to K_2 or to K_1,3. In view of snarks G with dominating cycle C, this is a natural generalization of perfect matchings since G-E(C) is a perfect pseudo-matching. Of special interest are such M where the graph G/M is planar because such G have a cycle double cover. We show that various well known classes of snarks contain planarizing perfect pseudo-matchings, and that there are at least as many snarks with planarizing perfect pseudo-matchings as there are cyclically 5-edge-connected snarks.

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BibTeXRIS

Herbert Fleischner, Behrooz Bagheri Gh., Benedikt Klocker. 2019-05-11. Perfect Pseudo-Matchings in cubic graphs. https://arxiv.org/abs/1905.04551

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