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The fan graph is determined by its signless Laplacian spectrum

Czechoslovak Mathematical Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Muhuo   +2 more
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Laplacian and signless Laplacian spectrum of commuting graphs of finite groups

2018
Summary: The commuting graph of a finite non-abelian group \(G\) with center \(Z(G)\), denoted by \(\Gamma_G\), is a simple undirected graph whose vertex set is \(G\setminus Z(G)\), and two distinct vertices \(x\) and \(y\) are adjacent if and only if \(xy = yx\).
Dutta, Jutirekha, Nath, Rajat
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Signless Laplacian spectrum of a class of generalized corona and its application

Discrete Mathematics, Algorithms and Applications, 2018
Let [Formula: see text] be a graph with [Formula: see text] edges, [Formula: see text] the subdivision graph of [Formula: see text] with [Formula: see text] the set of inserted vertices of [Formula: see text]. The generalized subdivision-edge corona graph [Formula: see text] of [Formula: see text] and [Formula: see text] is the graph obtained from ...
Pengli Lu, Ke Gao, Yumo Wu
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Signless Laplacian spectrum of a graph

Linear Algebra and its Applications
This article presents a significant contribution to the field of algebraic graph theory with a particular focus on the signless Laplacian spectrum of graphs. The authors successfully establish tight upper bounds for all signless Laplacian eigenvalues of a graph characterized by a prescribed order and minimum degree, notably surpassing previously known ...
Amir Hossein Ghodrati   +1 more
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Signless Laplacian spectrum of the cozero-divisor graph of the commutative ring ℤ 𝑛

Georgian Mathematical Journal, 2023
Abstract Let 𝑅 be a commutative ring with identity 1 ≠ 0
Mohd Rashid   +2 more
openaire   +1 more source

The Laplacian and signless Laplacian spectrum of semi-Cayley graphs over abelian groups

Journal of Applied Mathematics and Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Xing, Lü, Huazhong, Hao, Yifei
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On distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of ℤn

Linear and Multilinear Algebra, 2020
For a simple connected graph G of order n, we obtain the distance signless Laplacian spectrum of the joined union of regular graphs G 1 , G 2 , … , G n in terms of their adjacency spectrum and the ...
S. Pirzada   +3 more
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Which multicone graphs are determined by their signless Laplacian spectrum? (The proof of a conjecture)

Journal of Discrete Mathematical Sciences and Cryptography, 2019
A multicone graph is defined to be the join of a clique and a regular graph. Let Km and denote a complete graph on m vertices and the complement of a complete graph on n vertices, respectively.
Ali Zeydi Abdian   +2 more
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Two classes of graphs determined by the signless Laplacian spectrum

Linear Algebra and its Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiachang Ye, Muhuo Liu, Zoran Stanić
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The distance Laplacian and distance signless Laplacian spectrum of the subdivision-vertex join and subdivision-edge join of two regular graphs

Discrete Mathematics, Algorithms and Applications, 2019
Let [Formula: see text] be a connected graph with a distance matrix [Formula: see text]. Let [Formula: see text] and [Formula: see text] be, respectively, the distance Laplacian matrix and the distance signless Laplacian matrix of graph [Formula: see text], where [Formula: see text] denotes the diagonal matrix of the vertex transmissions in [Formula ...
Deena C. Scaria, Gopalapillai Indulal
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