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Title:
Nice pairs of pentagons in chamfered fullerenes
Authors:
Meysam Taheri-Dehkordi, Gholam Hossein Fath-Tabar
doi:
Volume
87
Issue
3
Year
2022
Pages
621-628
Abstract Fullerenes graphs are 3-connected, 3-regular planar graphs with faces including only pentagons and hexagons. If \(G\) be a graph with a perfect matching, a subgraph \(H\) of \(G\) is a nice subgraph if \(G − V(H)\) has a perfect matching. In this paper, we show that in every fullerene graph arising from smaller fullerenes via chamfer transformation, each pair of pentagons is a nice subgraph.

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