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Eigenvalues and Perfect Matchings [PDF]

open access: yes
AMS classification: 05C50, 05C70, 05E30.graph;perfect matching;Laplacian matrix;eigenvalues.
Brouwer, A.E., Haemers, W.H.
core   +1 more source

On spectrum and energies of enhanced power graphs

open access: yesMathematics Open
The enhanced power graph [Formula: see text] of a group G is a simple graph with vertex set G and two distinct vertex are adjacent if and only if they belong to the same cyclic subgroup.
Pankaj Kalita, Prohelika Das
doaj   +1 more source

What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion

open access: yesSpecial Matrices
We introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
doaj   +1 more source

Signless Laplacian energy of a first KCD matrix [PDF]

open access: diamond, 2022
Keerthi G. Mirajkar, Akshata Morajkar
openalex   +1 more source

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