Omega Index of Line and Total Graphs-Reference-Cited by-同舟云学术

Omega Index of Line and Total Graphs

Published:2021-09-27 Issue: Volume:2021 Page:1-6
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Demirci Musa¹^ORCID,Delen Sadik²^ORCID,Cevik Ahmet Sinan³^ORCID,Cangul Ismail Naci¹^ORCID

Affiliation:

1. Faculty of Arts and Science, Department of Mathematics, Bursa Uludag University, Bursa 16059, Turkey

2. Mathematics Department, Uludag University, Bursa, Turkey

3. Faculty of Science, Department of Mathematics, Selcuk University, Konya, Turkey

Abstract

A derived graph is a graph obtained from a given graph according to some predetermined rules. Two of the most frequently used derived graphs are the line graph and the total graph. Calculating some properties of a derived graph helps to calculate the same properties of the original graph. For this reason, the relations between a graph and its derived graphs are always welcomed. A recently introduced graph index which also acts as a graph invariant called omega is used to obtain such relations for line and total graphs. As an illustrative exercise, omega values and the number of faces of the line and total graphs of some frequently used graph classes are calculated.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/5552202.pdf

Reference11 articles.

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2. GRAPH THEORY

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