6 citations · 16 across the 12 of their papers we have counts for
12 papers
On spanning trees whose degrees are congruent to one modulo
Zhidan Yan, Wei Wang
An -congruent spanning tree of a nontrivial connected graph is a spanning tree in which every vertex has degree congruent to one modulo . This notion provides a common…
On the determinant of the walk matrix of the rooted product with a path
Zhidan Yan, Wei Wang
For an -vertex graph , the walk matrix of , denoted by , is the matrix , where is the adjacency matrix of and is the a…
On the determinant of the -walk matrix of rooted product with a path
Zhidan Yan, Lihuan Mao, Wei Wang
Let be an -vertex graph and be its signless Laplacian matrix. The -walk matrix of , denoted by , is , where is the all…
Proof of a conjecture on the determinant of walk matrix of rooted product with a path
Wei Wang, Zhidan Yan, Lihuan Mao
The walk matrix of an -vertex graph with adjacency matrix , denoted by , is , where is the all-ones vector. Let be the root…
Disproof of a conjecture on the main spectrum of generalized Bethe trees
Zhidan Yan, Wei Wang
An eigenvalue of the adjacency matrix of a graph is said to be main if the all-ones vector is not orthogonal to its associated eigenspace. A generalized Bethe tree with levels…
The smallest pair of cospectral cubic graphs with different chromatic indexes
Zhidan Yan, Wei Wang
Using an exhaustive search on cubic graphs of order 16, we find a unique cospectral pair with different chromatic indexes. This example indicates that the chromatic index of a regu…