Peripheral convex expansions of resonance graphs

Zhongyuan Che

Peripheral convex expansions of resonance graphs

Combinatorics 2019-08-27 v1

Authors: Zhongyuan Che

Abstract

In this paper, we show that the resonance graph of a plane elementary bipartite graph $G$ can be obtained from an edge by a sequence of peripheral convex expansions with respect to a reducible face decomposition of $G$ if and only if the infinite face of $G$ is forcing.

Keywords

graph theory

Cite

@article{arxiv.1908.09342,
  title  = {Peripheral convex expansions of resonance graphs},
  author = {Zhongyuan Che},
  journal= {arXiv preprint arXiv:1908.09342},
  year   = {2019}
}

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