Results 31 to 40 of about 66,958 (298)
On the Signless Laplacian Spectral Radius of Graphs without Small Books and Intersecting Quadrangles
Mathematics, 2022 In this paper, we determine the maximum signless Laplacian spectral radius of all graphs which do not contain small books as a subgraph and characterize all extremal graphs. In addition, we give an upper bound of the signless Laplacian spectral radius of
Ming-Zhu Chen +3 more
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Network partition via a bound of the spectral radius [PDF]
, 2016 12 pages, 10 figures© The author 2016. Published by Oxford University Press. Based on the density of connections between the nodes of high degree, we introduce two bounds of the spectral radius.
Mondragön, RJ, Mondragon-Ceballos, RJ
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Co-spectral radius of intersections [PDF]
, 2023 We study the behavior of the co-spectral radius of a subgroup H of a discrete group Γ under taking intersections. Our main result is that the co-spectral radius of an invariant random subgroup does not drop upon intersecting with a deterministic co ...
Frączyk, Mikołaj +2 more
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The Aα-spectral radius of complements of bicyclic and tricyclic graphs with n vertices
Special Matrices, 2021 Recently, the extremal problem of the spectral radius in the class of complements of trees, unicyclic graphs, bicyclic graphs and tricyclic graphs had been studied widely.
Chen Chaohui +2 more
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On Extremal Spectral Radii of Uniform Supertrees with Given Independence Number
Discrete Dynamics in Nature and Society, 2022 A supertree is a connected and acyclic hypergraph. Denote by Tm,n,α the set of m-uniform supertrees of order n with independent number α. Focusing on the spectral radius in Tm,n,α, this present completely determines the hypergraphs with maximum spectral ...
Lei Zhang, Haizhen Ren
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Graphs Whose Aα -Spectral Radius Does Not Exceed 2
Discussiones Mathematicae Graph Theory, 2020 Let A(G) and D(G) be the adjacency matrix and the degree matrix of a graph G, respectively. For any real α ∈ [0, 1], we consider Aα (G) = αD(G) + (1 − α)A(G) as a graph matrix, whose largest eigenvalue is called the Aα -spectral radius of G.
Wang Jian Feng +3 more
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The spectral radius of signless Laplacian matrix and sum-connectivity index of graphs
AKCE International Journal of Graphs and Combinatorics, 2022 The sum-connectivity index of a graph G is defined as the sum of weights [Formula: see text] over all edges uv of G, where du and dv are the degrees of the vertices u and v in G, respectively.
A. Jahanbani, S. M. Sheikholeslami
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A note on distance spectral radius of trees
Special Matrices, 2017 The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. We determine the unique non-starlike non-caterpillar tree with maximal distance spectral radius.
Wang Yanna +3 more
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Optimal network modification for spectral radius dependent phase transitions
New Journal of Physics, 2016 The dynamics of contact processes on networks is often determined by the spectral radius of the networks adjacency matrices. A decrease of the spectral radius can prevent the outbreak of an epidemic, or impact the synchronization among systems of coupled
Yonatan Rosen +2 more
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New Condition of Automatic Continuity of Dense Range Homomorphisms on Jordan – Banach Algebras [PDF]
مجلة التربية والعلم, 2018 The following open problem stated that, if T: A⟶B is a dense range homomorphism between Banach algebras A and B such that B is semi-simple. Is T automatically continuous? (see [1]).
RUQAYAH N. BALO +2 more
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