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Perfect matchings in planar 3-connected graphs: girth five and minimum degree five

Dai, Xinyu
arXiv (All) · Papers
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combinatorics
Let $Φ(G)$ denote the number of perfect matchings of a graph $G$. Goedgebeur et al. posted two questions about the perfect matchings of planar 3-connected graphs: does there exist an infinite family of matchable planar 3-connected graphs of girth 5 with a constant number of perfect matchings? Whethe
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