Unifying adjacency, Laplacian, and signless Laplacian theories

DOI10.26493/1855-3974.3163.6hwMaRDI QIDQ6650518

Deepshikha, Aniruddha Samanta, Kinkar Chandra Das

Publication date: 9 December 2024

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

convex combination independence number adjacency matrix chromatic number Laplacian matrix signless Laplacian matrix \(A_{\alpha}\)-matrix \(B_{\alpha}\)-matrix

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22)

Cites Work

Unnamed Item
Distribution of Laplacian eigenvalues of graphs
A note on the positive semidefiniteness of \(A_{\alpha}(G)\)
The smallest eigenvalue of the signless Laplacian
An improved upper bound for Laplacian graph eigenvalues
Which graphs are determined by their spectrum?
Graphs determined by their \(A_\alpha\)-spectra
Kite graphs determined by their spectra
On the \(A_{\alpha}\)-characteristic polynomial of a graph
Proof of conjecture involving algebraic connectivity and average degree of graphs
On the lower bound of the sum of the algebraic connectivity of a graph and its complement
On the \(A_\alpha\)- spectral radius of Halin graphs
On the \(A_\alpha \)-spectral radius of graphs with given size and diameter
Spectral extrema of \(K_{s,t}\)-minor free graphs -- on a conjecture of M. Tait
On the eigenvalues of \(A_\alpha \)-matrix of graphs
On the second largest \(A_{\alpha}\)-eigenvalues of graphs
On the least eigenvalue of \(A_\alpha \)-matrix of graphs
On the multiplicity of \(\alpha\) as an \(A_\alpha(\varGamma)\)-eigenvalue of signed graphs with pendant vertices
On spectral radii of unraveled balls
On the conjecture for certain Laplacian integral spectrum of graphs
The Determinant of the Adjacency Matrix of a Graph
Merging the A-and Q-spectral theories
On the Aα-spectral radius of connected graphs
Inequalities for Graph Eigenvalues
On graphs whose Laplacian matrices have distinct integer eigenvalues
Graphs and matrices
On bounds of \(A_\alpha\)-eigenvalue multiplicity and the rank of a complex unit gain graph

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