When (signless) Laplacian coefficients meet matchings of subdivision

DOI10.1016/J.EJC.2024.104087MaRDI QIDQ6655709

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Publication date: 27 December 2024

Published in: European Journal of Combinatorics (Search for Journal in Brave)

line graph Laplacian matrix matching polynomial star complement signless Laplacian graph spectra

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Cites Work

Laplacian coefficient, matching polynomial and incidence energy of trees with described maximum degree
Some results on signless Laplacian coefficients of graphs
On the Laplacian coefficients of unicyclic graphs with prescribed matching number
Ordering of trees with fixed matching number by the Laplacian coefficients
On the Laplacian coefficients of trees with a perfect matching
On the Laplacian coefficients of bicyclic graphs
Laplacian coefficients of trees with given number of leaves or vertices of degree two
On the ordering of trees by the Laplacian coefficients
On the Laplacian coefficients of acyclic graphs
Signless Laplacians of finite graphs
Trees with minimal Laplacian coefficients
On the Laplacian coefficients of unicyclic graphs
Ordering trees by the Laplacian coefficients
A certain polynomial of a graph and graphs with an extremal number of trees
An analog of matrix tree theorem for signless Laplacians
Coefficients of the characteristic polynomial of the (signless, normalized) Laplacian of a graph
On the Kirchhoff index of a unicyclic graph and the matchings of the subdivision
On the Laplacian coefficients of tricyclic graphs
The coefficients of Laplacian characteristic polynomials of graphs
Laplacian coefficients of trees with a given bipartition
On the signless Laplacian coefficients of unicyclic graphs
On the Laplacian coefficients of graphs under some transformations
The signless Laplacian coefficients and incidence energy of bicyclic graphs
Connections between Wiener index and matchings
Signless Laplacian coefficients and incidence energy of unicyclic graphs with the matching number
A connection between ordinary and Laplacian spectra of bipartite graphs
A survey of graph laplacians
Spectra of graphs. Theory and application

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