35 citations · 90 across the 23 of their papers we have counts for
4 papers · 2 filters
On the anti-Kelulé problem of cubic graphs
Qiuli Li, Wai Chee Shiu, Pak Kiu Sun +1
An edge set of a connected graph is called an anti-Kekulé set if is connected and has no perfect matchings, where denotes the subgraph obtained by deleting all…
Resonance Graphs and Perfect Matchings of Graphs on Surfaces
Niko Tratnik, Dong Ye
Let be a graph embedded in a surface and let be a set of even faces of (faces bounded by a cycle of even length). The resonance graph of with respect to $\…
Toughness and spanning trees in -minor-free graphs
M. N. Ellingham, Songling Shan, Dong Ye +1
For an integer , a -tree is a tree with maximum degree at most . More generally, if is an integer-valued function on vertices, an -tree is a tree in which each vert…
On Perfect Matchings in Matching Covered Graphs
Jinghua He, Erling Wei, Dong Ye +1
Let be a matching-covered graph, i.e., every edge is contained in a perfect matching. An edge subset of is feasible if there exists two perfect matchings and $M_2…