Sombor characteristic values of cographs

Zahid Raza; Bilal Ahmad Rather; Muhammad Imran

doi:10.1016/j.heliyon.2024.e38578

Sombor characteristic values of cographs

Zahid Raza
, Bilal Ahmad Rather
, Muhammad Imran

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

1 Citation (Scopus)

Abstract

A unique class of cograph is examined, that is defined recursively as C=C(n₁)=K‾_n₁, and C=C(n₁,n₂,…,n_i)=C(n₁,n₂,…,n_i−1)∪K_{n_i}‾, for 2≤i≤k. The Sombor spectrum of C is calculated, the Sombor spectral radius and establish the sharp bounds for the Sombor index, and the greatest and smallest Sombor characteristic values. We present results on the Sombor energy of cographs and identify the graphs that reach the inequalities. Also, we characterize cographs with simple Sombor characteristic values and cographs with unique characteristic values.

Original language	English
Article number	e38578
Journal	Heliyon
Volume	10
Issue number	19
DOIs	https://doi.org/10.1016/j.heliyon.2024.e38578
Publication status	Published - Oct 15 2024
Externally published	Yes

Keywords

Characteristic values
Cographs graphs
Sombor index
Sombor matrix

ASJC Scopus subject areas

General

Access to Document

10.1016/j.heliyon.2024.e38578

Cite this

@article{da350c9c2e4943bdab5b8cc920318483,

title = "Sombor characteristic values of cographs",

abstract = "A unique class of cograph is examined, that is defined recursively as C=C(n1)=K‾n1, and C=C(n1,n2,…,ni)=C(n1,n2,…,ni−1)∪Kni‾, for 2≤i≤k. The Sombor spectrum of C is calculated, the Sombor spectral radius and establish the sharp bounds for the Sombor index, and the greatest and smallest Sombor characteristic values. We present results on the Sombor energy of cographs and identify the graphs that reach the inequalities. Also, we characterize cographs with simple Sombor characteristic values and cographs with unique characteristic values.",

keywords = "Characteristic values, Cographs graphs, Sombor index, Sombor matrix",

author = "Zahid Raza and Rather, \{Bilal Ahmad\} and Muhammad Imran",

note = "Publisher Copyright: {\textcopyright} 2024 The Author(s)",

year = "2024",

month = oct,

day = "15",

doi = "10.1016/j.heliyon.2024.e38578",

language = "English",

volume = "10",

journal = "Heliyon",

issn = "2405-8440",

publisher = "Elsevier Ltd",

number = "19",

}

TY - JOUR

T1 - Sombor characteristic values of cographs

AU - Raza, Zahid

AU - Rather, Bilal Ahmad

AU - Imran, Muhammad

PY - 2024/10/15

Y1 - 2024/10/15

N2 - A unique class of cograph is examined, that is defined recursively as C=C(n1)=K‾n1, and C=C(n1,n2,…,ni)=C(n1,n2,…,ni−1)∪Kni‾, for 2≤i≤k. The Sombor spectrum of C is calculated, the Sombor spectral radius and establish the sharp bounds for the Sombor index, and the greatest and smallest Sombor characteristic values. We present results on the Sombor energy of cographs and identify the graphs that reach the inequalities. Also, we characterize cographs with simple Sombor characteristic values and cographs with unique characteristic values.

AB - A unique class of cograph is examined, that is defined recursively as C=C(n1)=K‾n1, and C=C(n1,n2,…,ni)=C(n1,n2,…,ni−1)∪Kni‾, for 2≤i≤k. The Sombor spectrum of C is calculated, the Sombor spectral radius and establish the sharp bounds for the Sombor index, and the greatest and smallest Sombor characteristic values. We present results on the Sombor energy of cographs and identify the graphs that reach the inequalities. Also, we characterize cographs with simple Sombor characteristic values and cographs with unique characteristic values.

KW - Characteristic values

KW - Cographs graphs

KW - Sombor index

KW - Sombor matrix

UR - https://www.scopus.com/pages/publications/85205371575

UR - https://www.scopus.com/pages/publications/85205371575#tab=citedBy

U2 - 10.1016/j.heliyon.2024.e38578

DO - 10.1016/j.heliyon.2024.e38578

M3 - Article

AN - SCOPUS:85205371575

SN - 2405-8440

VL - 10

JO - Heliyon

JF - Heliyon

IS - 19

M1 - e38578

ER -

Sombor characteristic values of cographs

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this