Some results on the distance and distance signless Laplacian spectral radius of graphs and digraphs
Applied Mathematics and Computation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jixiang Meng
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Distance signless Laplacian spectral radius for the existence of path-factors in graphs
Aequationes MathematicaeLet \(G\) be a finite graph of order \(n\) with the vertex set \(\{v_1,v_2,\ldots,v_n\}\) and let \(F\) be a spanning subgraph of \(G\). Then, \(F\) is called a path factor if every component of \(F\) is a path of order at least 2. A \(P_{\geq k}\)-factor means a path factor in which every component admits order at least \(k (k \geq 2)\).
Zhiren Sun +2 more
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On the distance signless Laplacian spectral radius of graphs
Linear and Multilinear Algebra, 2013The distance signless Laplacian spectral radius of a connected graph G is the spectral radius of the distance signless Laplacian matrix of G, defined as where is the diagonal matrix of vertex transmissions of G and is the distance matrix of G. In this paper, we determine the graphs with minimum distance signless Laplacian spectral radius among the ...
Rundan Xing, Bo Zhou, Jianping Li
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Note on distance signless Laplacian spectral radius under given matching number
Linear and Multilinear Algebra, 2020Let ℜn,β be the family of graphs with n vertices and with the matching number β. The distance signless Laplacian spectral radius of a graph G is denoted by ρ(G).
Yan Liu, Jin Yan
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Bounds on the distance signless Laplacian spectral radius in terms of clique number
Linear and Multilinear Algebra, 2014The distance signless Laplacian spectral radius of a connected graph , denoted by , is the maximal eigenvalue of the distance signless Laplacian matrix of . In this paper, we find a sharp lower bound as well as a sharp upper bound of in terms of the clique number. Furthermore, both extremal graphs are uniquely determined.
Huiqiu Lin, Xiwen Lu
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The (distance) signless Laplacian spectral radius of digraphs with given arc connectivity
Linear Algebra and its Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weige Xi, Wasin So, Ligong Wang
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Spanning
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sizhong Zhou, Yuli Zhang, Hongxia Liu
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Sufficient conditions for k-leaf-connected graphs on distance (signless Laplacian) spectral radius
Discrete Mathematics, Algorithms and ApplicationsLet [Formula: see text] be a graph and [Formula: see text] be a subset of [Formula: see text] with [Formula: see text]. A graph [Formula: see text] is called [Formula: see text]-leaf-connected if [Formula: see text] and [Formula: see text] always has a spanning tree [Formula: see text] such that [Formula: see text] is precisely the set of leaves of ...
Yu Zhang, Qiannan Zhou, Yong Lu
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On the spectral radius of the reciprocal distance signless laplacian matrix
AIP Conference Proceedings, 2023openaire +1 more source
Note on distance signless Laplacian spectral radius under given matching number
Linear and Multilinear Algebra, 2022Yan Liu
exaly

