Jie Zhang

activity

20122020

most citedOn signless Laplacian coefficients of unicyclic graphs with given matching number

1 citations · 2 across the 6 of their papers we have counts for

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6 papers · 1 filter

math.CO2020

The Steiner Wiener index of trees with a given segment sequence

Jie Zhang, Hua Wang, Xiao-Dong Zhang

The Steiner distance of vertices in a set $S$ is the minimum size of a connected subgraph that contain these vertices. The sum of the Steiner distances over all sets $S$ of cardina…

math.CO2018

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 $H$ -eigenvalues of a tensor and its quotient equitable tensor and extends the…

math.CO2013★ 1 cited

Laplacian coefficients of unicyclic graphs with the number of leaves and girth

Jie Zhang, Xiao-Dong Zhang

Let $G$ be a graph of order $n$ and let $L (G, λ) = \sum_{k = 0}^{n} (- 1)^{k} c_{k} (G) λ^{n - k}$ be the characteristic polynomial of its Laplacian matrix. Motivated by Ilić and Ilić…

math.CO2012

On signless Laplacian coefficients of bicyclic graphs

Jie Zhang, Xiao-Dong Zhang

Let $G$ be a graph of order $n$ and $Q_{G} (x) = d e t (x I - Q (G)) = \sum_{i = 1}^{n} (- 1)^{i} φ_{i} x^{n - i}$ be the characteristic polynomial of the signless Laplacian matrix of a graph $G$ . We giv…

math.CO2012★ 1 cited

On signless Laplacian coefficients of unicyclic graphs with given matching number

Jie Zhang, Xiao-Dong Zhang

Let $G$ be an unicyclic graph of order $n$ and let $Q_{G} (x) = d e t (x I - Q (G)) = ma t r i x \sum_{i = 1}^{n} (- 1)^{i} φ_{i} x^{n - i} ma t r i x$ be the characteristic polynomial of the signless Laplacia…

math.CO2012

Faber-Krahn type inequality for unicyclic graphs

Guang-Jun Zhang, Jie Zhang, Xiao-Dong Zhang

The Faber-Krahn inequality states that the ball has minimal first Dirichlet eigenvalue among all bounded domains with the fixed volume in $R^{n}$ . In this paper, we investig…