2 papers
math.CO2025
2-extendability of (4,5,6)-fullerenes
Lifang Zhao, Heping Zhang
A (4,5,6)-fullerene is a plane cubic graph whose faces are only quadrilaterals, pentagons and hexagons, which includes all (4,6)- and (5,6)-fullerenes. A connected graph with a…
math.CO2024
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…