Results 51 to 60 of about 33,403 (178)
Extremal properties of the distance spectral radius of hypergraphs
, 2020 The distance spectral radius of a connected hypergraph is the largest eigenvalue of its distance matrix. The unique hypertrees with minimum distance spectral radii are determined in the class of hypertrees of given diameter, in the class of hypertrees of
Zhou, Bo, Wang, Yanna
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Distance spectral radius of trees with fixed maximum degree
, 2010 Distance energy is a newly introduced molecular graph-based analog of the total π-electron energy, and it is defined as the sum of the absolute eigenvalues of the molecular distance matrix.
Stevanovic, Dragan, Ilic, Aleksandar
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The normalized distance Laplacian
Special Matrices, 2021 The distance matrix 𝒟(G) of a connected graph G is the matrix containing the pairwise distances between vertices. The transmission of a vertex vi in G is the sum of the distances from vi to all other vertices and T(G) is the diagonal matrix of ...
Reinhart Carolyn
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图的补距离矩阵谱半径的最大值(On maximal spectral radius of complementary distance matrix of graphs)
Zhejiang Daxue xuebao. Lixue ban, 2013 We determine the graphs with maximal spectral radius of the complementary distance matrix among simple connected graphs with fixed order and matching number and diameter less than or equal to 2.
SULi(苏莉), LIHong-hai(李红海)
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Frontiers in Physics, 2023 When analyzing the transmission characteristics of LEDs for long-distance lighting and communication applications, the light field is commonly assumed to be fully incoherent. However, in reality, the LED light source emits partially coherent light with a
Zhifang Miao +4 more
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Distance spectral radius of a tree with given diameter
Ars Comb., 2013 For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix. In this paper, of all trees with both given order and fixed diameter, the trees with the minimal distance spectral radius are completely characterized.
Guanglong Yu +2 more
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Atmosphere, 2023 Very Low Frequency (VLF) waves radiated from ground-based transmitters are crucial for long-distance communication and underwater navigation. These waves can reflect between the Earth’s surface and the ionosphere for Earth–ionosphere waveguide ...
Honggeng Cai +4 more
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On Distance Spectral Radius and Distance Energy of Graphs
, 2011 For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix, and the distance energy is defined as the sum of the absolute values of the eigenvalues of its distance matrix. We establish lower and upper bounds for the distance spectral radius of graphs and bipartite graphs, lower bounds for the distance energy of
Zhou, Bo, Ilic, Aleksandar
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A note on the distance and distance signless Laplacian spectral radius of complements of trees
, 2023 In this article, we show that the generalized tree shift operation increases the distance spectral radius, distance signless Laplacian spectral radius, and the $D_\alpha$-spectral radius of complements of trees.
Mahato, Iswar, Kannan, M. Rajesh
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Distance spectral radius of graphs with r pendent vertices
, 2011 Let Gnr be the class of all connected graphs of order n with r pendent vertices. In this paper, we determine the unique graph with minimal distance spectral radius in Gnr.
Paul, Somnath +5 more
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