KG-SOMBOR ENERGY OF GRAPHS WITH SELF LOOPS

K. V. Madhumitha; Sabitha D’souza; Swati Nayak

KG-SOMBOR ENERGY OF GRAPHS WITH SELF LOOPS

K. V. Madhumitha
, Sabitha D’souza
, Swati Nayak^*

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Let G = (V, E) be a connected graph. A topological invariant named KG-Sombor index was introduced by V. R. Kulli, defined as [Formula Presented] indicates summation over vertices ue ue u ∈ V (G) and the edges e ∈ E(G) that are incident to u. In this paper, we extend the KG-Sombor index of simple graphs to graph with self loops. We study some properties of KG-Sombor eigenvalues and few bounds for KG-Sombor energy of graphs with self loops and KG-Sombor characteristic polynomial of graphs with self loops.

Original language	English
Pages (from-to)	73-84
Number of pages	12
Journal	Global and Stochastic Analysis
Volume	11
Issue number	4
Publication status	Published - 09-2024

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

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title = "KG-SOMBOR ENERGY OF GRAPHS WITH SELF LOOPS",

abstract = "Let G = (V, E) be a connected graph. A topological invariant named KG-Sombor index was introduced by V. R. Kulli, defined as [Formula Presented] indicates summation over vertices ue ue u ∈ V (G) and the edges e ∈ E(G) that are incident to u. In this paper, we extend the KG-Sombor index of simple graphs to graph with self loops. We study some properties of KG-Sombor eigenvalues and few bounds for KG-Sombor energy of graphs with self loops and KG-Sombor characteristic polynomial of graphs with self loops.",

author = "Madhumitha, \{K. V.\} and Sabitha D{\textquoteright}souza and Swati Nayak",

year = "2024",

month = sep,

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pages = "73--84",

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T1 - KG-SOMBOR ENERGY OF GRAPHS WITH SELF LOOPS

AU - Madhumitha, K. V.

AU - D’souza, Sabitha

AU - Nayak, Swati

PY - 2024/9

Y1 - 2024/9

N2 - Let G = (V, E) be a connected graph. A topological invariant named KG-Sombor index was introduced by V. R. Kulli, defined as [Formula Presented] indicates summation over vertices ue ue u ∈ V (G) and the edges e ∈ E(G) that are incident to u. In this paper, we extend the KG-Sombor index of simple graphs to graph with self loops. We study some properties of KG-Sombor eigenvalues and few bounds for KG-Sombor energy of graphs with self loops and KG-Sombor characteristic polynomial of graphs with self loops.

AB - Let G = (V, E) be a connected graph. A topological invariant named KG-Sombor index was introduced by V. R. Kulli, defined as [Formula Presented] indicates summation over vertices ue ue u ∈ V (G) and the edges e ∈ E(G) that are incident to u. In this paper, we extend the KG-Sombor index of simple graphs to graph with self loops. We study some properties of KG-Sombor eigenvalues and few bounds for KG-Sombor energy of graphs with self loops and KG-Sombor characteristic polynomial of graphs with self loops.

UR - https://www.scopus.com/pages/publications/85202955223

UR - https://www.scopus.com/pages/publications/85202955223#tab=citedBy

M3 - Article

AN - SCOPUS:85202955223

SN - 2248-9444

VL - 11

SP - 73

EP - 84

JO - Global and Stochastic Analysis

JF - Global and Stochastic Analysis

IS - 4

ER -

KG-SOMBOR ENERGY OF GRAPHS WITH SELF LOOPS

Abstract

All Science Journal Classification (ASJC) codes

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