47 citations · 151 across the 69 of their papers we have counts for
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Equitable Partition Theorem of Tensors and Spectrum of Generalized Power Hypergraphs
Ya-Lei Jin, Jie Zhang, Xiao-Dong Zhang
In this paper, we present an equitable partition theorem of tensors, which gives the relations between -eigenvalues of a tensor and its quotient equitable tensor and extends the…
Extremal graphs for vertex-degree-based invariants with given degree sequences
Muhuo Liu, Kexiang Xu, Xiao-Dong Zhang
For a symmetric bivariable function , let the {\it connectivity function} of a connected graph be , where is the degree of…
On majorization of closed walks vector of trees with given degree sequences
Ya-Hong Chen, Daniel Gray, Ya-Lei Jin +1
Let be the number of the closed walks of length starting at vertex in a tree . We prove that for a given tree degree sequence , then for any tree with de…
A family of graphs that are determined by their normalized Laplacian spectra
Abraham Berman, Dong-Mei Chen, Zhi-Bing Chen +2
Let be the generalized friendship graph on vertices obtained by joining a vertex to all vertices of disjoint copies of the complete graph $…
Spectral extremal results with forbidding linear forests
Ming-Zhu Chen, A-Ming Liu, Xiao-Dong Zhang
The Turán type extremal problem asks to maximize the number of edges over all graphs which do not contain fixed subgraphs. Similarly, the spectral Turán type extremal problem asks…