4 papers
Outerplane bipartite graphs with isomorphic resonance graphs
Simon Brezovnik, Zhongyuan Che, Niko Tratnik +1
We present novel results related to isomorphic resonance graphs of 2-connected outerplane bipartite graphs. As the main result, we provide a structure characterization for 2-connec…
Peripheral convex expansions of resonance graphs
Zhongyuan Che
In this paper, we show that the resonance graph of a plane elementary bipartite graph can be obtained from an edge by a sequence of peripheral convex expansions with respect to…
Wiener indices of maximal -degenerate graphs
Allan Bickle, Zhongyuan Che
A graph is maximal -degenerate if each induced subgraph has a vertex of degree at most and adding any new edge to the graph violates this condition. In this paper, we provid…
An upper bound on the Wiener Index of a k-connected graph
Zhongyuan Che, Karen L. Collins
The Wiener index of a connected graph is the summation of all distances between unordered pairs of vertices of the graph. In this paper, we give an upper bound on the Wiener index…