[PDF][PDF] A note on energy and Sombor energy of graphs
BA Rathera, M Imranb - energy, 2023 - match.pmf.kg.ac.rs
For a graph G with V (G)={v1, v2,..., vn} and degree sequence (dv1, dv2,..., dvn), the
adjacency matrix A (G) of G is a (0, 1) square matrix of order n with ij-th entry 1, if vi is …
adjacency matrix A (G) of G is a (0, 1) square matrix of order n with ij-th entry 1, if vi is …
The k-Sombor Index of Trees.
F Wang, B Wu - Asia-Pacific Journal of Operational …, 2024 - search.ebscohost.com
For a positive real number k, the k-Sombor index of a graph G, introduced by Réti et al, is
defined as SO k (G)=∑ uv∈ E (G) d (u) k+ d (v) kk, where d (u) denotes the degree of the …
defined as SO k (G)=∑ uv∈ E (G) d (u) k+ d (v) kk, where d (u) denotes the degree of the …
On arithmetic–geometric eigenvalues of graphs
In this article, we are interested in characterizing graphs with three distinct arithmetic–
geometric eigenvalues. We provide the bounds on the arithmetic–geometric energy of …
geometric eigenvalues. We provide the bounds on the arithmetic–geometric energy of …
On some topological indices defined via the modified Sombor matrix
Let G be a simple graph with the vertex set V={v 1,…, vn} and denote by dvi the degree of
the vertex vi. The modified Sombor index of G is the addition of the numbers (dvi 2+ dvj 2) …
the vertex vi. The modified Sombor index of G is the addition of the numbers (dvi 2+ dvj 2) …
[PDF][PDF] Block Sombor index of a graph and its matrix representation
V Devaragudi, B Chaluvaraju - Open J. Discret. Appl. Math, 2023 - pisrt.org
The Sombor index has gained lot of attention in the recent days for its mathematical
properties and chemical applicabilities. Here, we initiated the novel block number version of …
properties and chemical applicabilities. Here, we initiated the novel block number version of …
Sombor index and eigenvalues of comaximal graphs of commutative rings
The comaximal graph Γ (R) of a commutative ring R is a simple graph with vertex set R and
two distinct vertices u and v of Γ (R) are adjacent if and only if u R+ v R= R. In this paper, we …
two distinct vertices u and v of Γ (R) are adjacent if and only if u R+ v R= R. In this paper, we …
On the spread of the geometric-arithmetic matrix of graphs
In a graph G, if di is the degree of a vertex vi, the geometric-arithmetic matrix GA (G) is a
square matrix whose (i, j)-th entry is 2 didjdi+ dj whenever vertices i and j are adjacent and 0 …
square matrix whose (i, j)-th entry is 2 didjdi+ dj whenever vertices i and j are adjacent and 0 …
On spectral spread and trace norm of Sombor matrix
For a simple graph G with vertex set {v 1,⋯, vn} and degree sequence {d 1,⋯, dn}, the
Sombor matrix S (G) of G is an n× n matrix, whose (i, j)-th entry is di 2+ dj 2, if vi and vj are …
Sombor matrix S (G) of G is an n× n matrix, whose (i, j)-th entry is di 2+ dj 2, if vi and vj are …
On inverse sum indeg energy of graphs
For a simple graph with vertex set {v 1, v 2,…, vn} and degree sequence dvii= 1, 2,…, n, the
inverse sum indeg matrix (ISI matrix) A ISI (G)=(aij) of G is a square matrix of order n, where …
inverse sum indeg matrix (ISI matrix) A ISI (G)=(aij) of G is a square matrix of order n, where …