Results 91 to 100 of about 140 (117)
Sharp Upper Bounds on the Spectral Radius of the Signless Laplacian Matrix of a Graph
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Kinkar Chandra Das, A Sinan Çevik
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The Signless Laplacian Spectral Radius of Graphs With Given Number of Pendant Vertices
Graphs and Combinatorics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi-Zheng Fan
exaly +4 more sources
The signless Laplacian spectral radius of graphs on surfaces
Linear and Multilinear Algebra, 2013Let G be an n-vertex simple graph embeddable on a surface of Euler genus γ. We present the upper bounds for the signless Laplacian spectral radius of G in terms of n and γ, with further improvements when G is an outerplanar or Halin graph.
Lihua Feng +3 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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The signless Laplacian spectral radius of 2K3-free graphs
Discrete MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yanting Zhang, Ligong Wang 0001
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Sharp Bounds for the Signless Laplacian Spectral Radius of Uniform Hypergraphs
Bulletin of the Iranian Mathematical Society, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Jun +3 more
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On the signless Laplacian spectral radius of digraphs.
Ars Comb., 2013Let G = (V, E) be a digraph with n vertices and m arcs without loops and multiarcs, V = {v(1), v(2), ... , v(n)}. Denote the outdegree and average 2-outdegree of the vertex v(i) by d(i)(+) and m(i)(+), respectively. Let A (G) be the adjacency matrix and D (G) = diag (d(1)(+), d(2)(+), ... , d(n)(+)) be the diagonal matrix with outdegree of the vertices
Bozkurt, S. Burcu, Bozkurt, Durmus
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The signless Laplacian spectral radius of k-connected irregular graphs
Linear Algebra and its Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ning, Wenjie +3 more
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The signless Laplacian spectral radius of book-free graphs
Discrete MathematicsFor a positive integer \(k\), a book \(B_{k+1}\) is a graph consisting of \(k + 1\) triangles sharing a common edge. Let \(G\) be a \(B_{k+1}\)-free graph of order \(n \geq 49k^{2}-22k+4\). In this paper it is proved that the signless Laplacian spectral radius \(q(G) \leq (n+2k+\sqrt{(n-2k)^2+8k^2})/2\) with equality if and only if \(G = \overline{K_k}
Ming-Zhu Chen, Ya-Lei Jin, Peng-Li Zhang
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TWO SHARP UPPER BOUNDS FOR THE SIGNLESS LAPLACIAN SPECTRAL RADIUS OF GRAPHS
Discrete Mathematics, Algorithms and Applications, 2011The signless Laplacian matrix of a graph is the sum of its degree diagonal and adjacency matrices. In this paper, we present a sharp upper bound for the spectral radius of the adjacency matrix of a graph. Then this result and other known results are used to obtain two new sharp upper bounds for the signless Laplacian spectral radius.
Ya-Hong Chen +2 more
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