THE SIGMA INDEX OF GRAPH OPERATIONS

Akbar Jahanbanı; Süleyman Ediz

THE SIGMA INDEX OF GRAPH OPERATIONS

Abstract

Let G be a graph of order n with vertices labeled as v1, v2, …, vn. Let di be the degree of the vertex vi, for i = 1, 2, …, n. The sigma index, which have been defined very recently, of G is (G) = ΣvivjE(G)(di  dj)2. In this paper, the sigma index of the Cartesian product, composition, join and disjunction of graphs are computed. We apply some of our results to compute the sigma index of some special graph classes.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Akbar Jahanbanı This is me
0000-0002-2800-4420
Iran

Süleyman Ediz This is me
0000-0003-0625-3634
Türkiye

Publication Date

March 1, 2019

Submission Date

June 18, 2018

Acceptance Date

November 14, 2018

Published in Issue

Year 2019 Volume: 37 Number: 1

IZ

https://izlik.org/JA58TM38JH

Cite

RIS / Bibtex

APA

Jahanbanı, A., & Ediz, S. (2019). THE SIGMA INDEX OF GRAPH OPERATIONS. Sigma Journal of Engineering and Natural Sciences, 37(1), 155-162. https://izlik.org/JA58TM38JH

AMA

1.Jahanbanı A, Ediz S. THE SIGMA INDEX OF GRAPH OPERATIONS. SIGMA. 2019;37(1):155-162. https://izlik.org/JA58TM38JH

Chicago

Jahanbanı, Akbar, and Süleyman Ediz. 2019. “THE SIGMA INDEX OF GRAPH OPERATIONS”. Sigma Journal of Engineering and Natural Sciences 37 (1): 155-62. https://izlik.org/JA58TM38JH.

EndNote

Jahanbanı A, Ediz S (March 1, 2019) THE SIGMA INDEX OF GRAPH OPERATIONS. Sigma Journal of Engineering and Natural Sciences 37 1 155–162.

IEEE

[1]A. Jahanbanı and S. Ediz, “THE SIGMA INDEX OF GRAPH OPERATIONS”, SIGMA, vol. 37, no. 1, pp. 155–162, Mar. 2019, [Online]. Available: https://izlik.org/JA58TM38JH

ISNAD

Jahanbanı, Akbar - Ediz, Süleyman. “THE SIGMA INDEX OF GRAPH OPERATIONS”. Sigma Journal of Engineering and Natural Sciences 37/1 (March 1, 2019): 155-162. https://izlik.org/JA58TM38JH.

JAMA

1.Jahanbanı A, Ediz S. THE SIGMA INDEX OF GRAPH OPERATIONS. SIGMA. 2019;37:155–162.

MLA

Jahanbanı, Akbar, and Süleyman Ediz. “THE SIGMA INDEX OF GRAPH OPERATIONS”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 1, Mar. 2019, pp. 155-62, https://izlik.org/JA58TM38JH.

Vancouver

1.Akbar Jahanbanı, Süleyman Ediz. THE SIGMA INDEX OF GRAPH OPERATIONS. SIGMA [Internet]. 2019 Mar. 1;37(1):155-62. Available from: https://izlik.org/JA58TM38JH