Results 201 to 210 of about 1,442 (223)

On bicyclic graphs with minimal energies

Journal of Mathematical Chemistry, 2005
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Zhang, Jianbin, Zhou, Bo
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Bicyclic graphs with minimum energy

Linear and Multilinear Algebra, 2001
If λ1, λ2,…,λn are the eigenvalues of a graph G, then the energy of this graph is denned as . For n⩾6, let be the graph obtained by joining n−5 pendant vertices to a vertex of degree three of the complete bipartite graph K 2. We show that for all values of n⩾6, S 4,4 n has the minimal energy among all n vertex connected bicyclic graphs with at most one
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Minimal configuration bicyclic graphs

Linear and Multilinear Algebra, 2012
The nullity η(G) of a graph G is the multiplicity of zero as an eigenvalue of the adjacency matrix of G. If η(G) = 1, then the core of G is the subgraph induced by the vertices associated with the nonzero entries of the kernel eigenvector. The set of vertices which are not in the core is the periphery of G.
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Bicyclic Graphs with Nullity n−5

2013
Let \( G \) be a simple undirected graph on n vertices, \( A(G) \) be its adjacency matrix. The nullity \( \eta (G) \) of the graph \( G \) is the multiplicity of the eigenvalue zero in its spectrum. In this paper, we characterize the bicyclic graphs with nullity \( n - 5 \).
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Extremal Arithmetic–Geometric Index of Bicyclic Graphs

Circuits, Systems, and Signal Processing, 2023
Baohua Niu, Shuming Zhou, Hong Zhang 0044   +2 more
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Unicyclic and bicyclic graphs with maximum exponential second Zagreb index

Discrete Applied Mathematics, 2022
Mehdi Eliasi
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Extremal values of the Sombor index in unicyclic and bicyclic graphs

Journal of Mathematical Chemistry, 2021
Roberto Cruz, Juan Rada
exaly  

The $A_{\alpha}$-spectral Radius of Bicyclic Graphs with Given Degree Sequences

Taiwanese Journal of Mathematics, 2023
Fei Wen
exaly  

Complete characterization of bicyclic graphs with minimal Kirchhoff index

Discrete Applied Mathematics, 2016
Jia-Bao Liu, Xiang-Feng Pan
exaly  

Extremal bicyclic graphs with respect to Mostar index

Applied Mathematics and Computation, 2019
Aleksandra Tepeh
exaly