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math.CO2023
Cubic vertices of minimal bicritical graphs
Jing Guo, Hailun Wu, Heping Zhang
A graph with four or more vertices is called bicritical if the removal of any pair of distinct vertices of results in a graph with a perfect matching. A bicritical graph is…
math.CO2023★ 9 cited
Number of Matchings of Low Order in (4,6)-Fullerene Graphs
Zhi-Feng Wei, Heping Zhang
We obtain the formulae for the numbers of 4-matchings and 5-matchings in terms of the number of hexagonal faces in (4, 6)-fullerene graphs by studying structural classification of…