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作者:... Chunli Deng , Haifeng Li , Changjiang Bu
来源:[J].Linear and Multilinear Algebra(IF 0.677), 2020, Vol.68 (3), pp.606-621Taylor & Francis
摘要:ABSTRACT(#br)In this paper, we study multiplications and eigenvalues of tensors by using linear maps. By the composition of linear maps, we naturally obtain two multiplications of tensors, which generalize Shao's product, Einstein product and n -mode product etc. Some properties ...
作者:Changjiang Bu , Xiuquan Jin ...
来源:[J].Linear Algebra and Its Applications(IF 0.968), 2017, Vol.512, pp.234-248Elsevier
摘要:Abstract(#br)In this paper, we give two Brauer-type eigenvalue inclusion sets and some bounds on the spectral radius for tensors. As applications, some bounds on the spectral radius of uniform hypergraphs are presented.
作者:Changjiang Bu , Liqun Qi
来源:[J].Linear and Multilinear Algebra(IF 0.677), 2019, Vol.67 (7), pp.1364-1391Taylor & Francis
摘要:ABSTRACT(#br)In this paper, we develop and enrich the theory of nonnegative tensors. We define the sign nonsingular tensors and establish the relationship between the combinatorial determinant and the permanent of nonnegative tensors. We generalize the results from doubly stochas...
作者:Teng Zhang , Changjiang Bu
来源:[J].Physica A: Statistical Mechanics and its Applications(IF 1.676), 2019, Vol.526Elsevier
摘要:Abstract(#br)For two vertices i and j in a connected network G , the resistance distance between i and j is defined to be the effective resistance between them when unit resistors are placed on every edge of G . In this paper, by utilizing Gaussian function of the resistance...
作者:Chunli Deng , Haifeng Li , Changjiang Bu
来源:[J].Linear Algebra and Its Applications(IF 0.968), 2018, Vol.556, pp.55-69Elsevier
摘要:Abstract(#br)In this paper, Brauer-type eigenvalue inclusion sets of stochastic tensors and irreducible tensors are given, respectively. Some sufficient conditions of positive (semi-)definiteness of stochastic tensors are obtained. Furthermore, the stability of a high-order nonli...
作者:Haifeng Li , Jiang Zhou , Changjiang Bu
来源:[J].Linear Algebra and Its Applications(IF 0.968), 2018, Vol.544, pp.273-285Elsevier
摘要:Abstract(#br)In this paper, some inequalities among the principal eigenvector, spectral radius and vertex degrees of a connected uniform hypergraph are established. Necessary and sufficient conditions of equalities holding are presented, which are related to the regularity of a h...
作者:... Lei Liu , Jiang Zhou , Changjiang Bu
来源:[J].Linear Algebra and Its Applications(IF 0.968), 2019, Vol.576, pp.181-199Elsevier
摘要:Abstract(#br)In this paper, two singular value inclusion sets for rectangular tensors via a digraph and a lifting square tensor are given, respectively. Furthermore, it is shown that these two singular value inclusion sets are both tighter than the known result given by Zhao and ...
作者:Jiang Zhou , Lizhu Sun , Changjiang Bu
来源:[J].Discrete Mathematics(IF 0.578), 2017, Vol.340 (12), pp.2864-2870Elsevier
摘要:Abstract(#br)A weighted (unweighted) graph G is called equiarboreal if the sum of weights (the number) of spanning trees containing a given edge in G is independent of the choice of edge. In this paper, we give some resistance characterizations of equiarboreal weighted and unweig...
作者:Lizhu Sun , Jiang Zhou , Changjiang Bu
来源:[J].Linear Algebra and Its Applications(IF 0.968), 2018Elsevier
摘要:Abstract(#br)In this paper, we investigate spectral properties of the adjacency tensor, Laplacian tensor and signless Laplacian tensor of general hypergraphs (including uniform and non-uniform hypergraphs). We give some properties for the spectral radius of hypergraphs, and obtai...
作者:Guiyan Wang , Changjiang Bu , Yuesheng Luo
来源:[J].Digital Signal Processing(IF 1.918), 2019, Vol.92, pp.97-108Elsevier
摘要:Abstract(#br)We present a modified find density peaks (MFDP) clustering algorithm. In the MFDP, a critical parameter, dc , is auto-defined by minimizing the entropy of all points. By considering both the point density, ρ , and large distance from points with higher densities...

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