On maximum degree (signless) Laplacian matrix of a graph
Let G be a simple graph on n vertices and v1, v2, . . . , vn be the vertices ofG. We denote the degree of a vertex vi in G by dG(vi) = di. The maximumdegree matrix of G, denoted by M(G), is the real symmetric matrix withits ijth entry equal to max{di, dj}
Raghu, V. D. +2 more
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Adjacency spectra and Laplacian integrality of zero divisor graphs over some rings
Let 𝑅 be a commutative ring and let 𝑍∗ (𝑅) denote the set of non-zero zero divisors of 𝑅. The zero divisor graph 𝛤(𝑅) is defined as the simple graph with vertex set 𝑍∗ (𝑅), where two distinct vertices 𝑥, 𝑦 ∈ 𝑍∗ (𝑅) are adjacent if and only if 𝑥𝑦 = 0.
Bilal Ahmad Rather +3 more
doaj +1 more source
BOUNDS FOR SIGNLESS LAPLACIAN SPECTRAL RADIUS
We consider weighted graphs, such as graphs where the edge weights are positive definite matrices of the same order in this paper. The signless Laplacian eigenvalues of a graph are the eigenvalues of the signless Laplacian matrix of a graph G.
Nurkahli, Semiha Basdas +2 more
core
Quantitative structure-properties relationship analysis of Eigen-value-based indices using COVID-19 drugs structure. [PDF]
Rauf A, Naeem M, Hanif A.
europepmc +1 more source
On the eigenvalues of the distance signless Laplacian matrix of graphs
Let G be a connected graph and let DQ(G) be the distance signless Laplacian matrix of G with eigenvalues ρ1≥ ρ2≥…≥ ρn. The spread of the matrix DQ}(G) is defined as s(DQ(G)) := maxi,j| ρi-ρj| = ρ1- ρn.
Shooshtari, Hajar +3 more
core +1 more source
Transmission-Based Energies of Prime Coprime Graph for Integers Modulo Group
Graphs are an excellent instrument that provides an algebraic structure for visualizing and interpreting molecule structures and characteristics. As a result, the problem statement arises regarding how we can interpret graphs with eigenvalues concerning
Mamika Ujianita Romdhini +3 more
doaj +1 more source
Eigenvalue-based entropy in directed complex networks. [PDF]
Sun Y, Zhao H, Liang J, Ma X.
europepmc +1 more source
The least eigenvalue of the signless Laplacian of the complements of trees
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Shuchao, Wang, Shujing
openaire +1 more source
Albertson (Alb) spectral radii and Albertson (Alb) energies of graph operation. [PDF]
Munir MM, Wusqa UT.
europepmc +1 more source
Further results on the distance signless Laplacian spectrum of graphs
The distance signless Laplacian matrix [Formula: see text] of a connected graph [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the distance matrix of [Formula: see text] and [Formula: see text] is the diagonal matrix
Abdollah Alhevaz +2 more
core +1 more source

