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math.CO2025
A solution to Godsil's conjecture on the edge-connectivity of graphs in association schemes
Wensheng Sun, Yujun Yang, Shou-Jun Xu
A graph is called equiarboreal if the number of spanning trees containing a given edge in is independent of the choice of edge. In [Combinatorica 1(2) (1981) 163--167], God…
math.CO2025
Odd clique minors and chromatic bounds of {3, paraglider}-free graphs
Yuqing Ji, Yue Wang, Yujun Yang +1
A paraglider, house, 4-wheel, is the graph that consists of a cycle plus an additional vertex adjacent to three vertices, two adjacent vertices, all the vertices of the …
math.CO2025
On the minimum constant resistance curvature conjecture of graphs
Wensheng Sun, Yujun Yang, Shou-Jun Xu
Let be a connected graph with vertices. The resistance distance between any two vertices and of is defined as the effective resistance between them…