Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix [PDF]
, 2022 You, Lihua, Shu Yu-jie, Yuan Ping-zhi
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First Hyper Zagreb Spectral Radii of Splitting and Shadow Graphs
Scientific Annals of Computer ScienceThe spectral radius RS of graph G is a spectral invariant derived from the eigenvalues of the associated matrix for a graph G. It is widely used in fields such as computer science, chemistry, biology, and network analysis.
Ahmad Bilal, Muhammad Mobeen Munir
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On the spectral radius of graphs: nonregular distance-hereditary graphs with given edge-connectivity, graphs with tree-width $k$ and block graphs with prescribed independence number $α$ [PDF]
, 2022 Conde, Cristian +2 more
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The First Zagreb Index, the Laplacian Spectral Radius, and Some Hamiltonian Properties of Graphs
MathematicsThe first Zagreb index of a graph G is defined as the sum of the squares of the degrees of all the vertices in G. The Laplacian spectral radius of a graph G is defined as the largest eigenvalue of the Laplacian matrix of the graph G.
Rao Li
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On the spectral radius and energy of signless Laplacian matrix of digraphs. [PDF]
Heliyon, 2022 Ganie HA, Shang Y.
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The spectral radius of graphs with no intersecting odd cycles [PDF]
Discrete Mathematics, 2021 Yongtao Li, Yuejian Peng
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On the maximum spectral radius of multipartite graphs
AKCE International Journal of Graphs and Combinatorics, 2020 Let be an integer. A graph is called r – partite if V admits a partition into r parts such that every edge has its ends in different parts. All of the r – partite graphs with given integer r consist of the class of multipartite graphs.
Jian Wu, Haixia Zhao
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The bounds of the spectral radius of general hypergraphs in terms of clique number [PDF]
, 2022 Duan Cunxiang, Wang Ligong
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Comparison Theorems for Single and Double Splittings of Matrices
Journal of Applied Mathematics, 2013 Some comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009).
Cui-Xia Li, Qun-Fa Cui, Shi-Liang Wu
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Extremal Unicyclic Graphs With Minimal Distance Spectral Radius
Discussiones Mathematicae Graph Theory, 2014 The distance spectral radius ρ(G) of a graph G is the largest eigenvalue of the distance matrix D(G). Let U (n,m) be the class of unicyclic graphs of order n with given matching number m (m ≠ 3).
Lu Hongyan, Luo Jing, Zhu Zhongxun
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