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Research Article

BOUNDS ON RZ-INVARIANT OF GRAPHS

K
K. Pattabiraman Department of Mathematics, Government Arts College(Autonomous), Kumbakonam - 612002, Tamil Nadu, INDIA
M
Manzoor Ahmad Bhat Department of Mathematics, Annamalai University, Annamalai Nagar, Annamalai Nagar - 608002, Tamil Nadu, INDIA
Volume 16, Issue 1A Pages 01-06 May 1, 2020 216 downloads
Article overview

Abstract

The RZ-invariant of a simple connected graph G is defined as the sum of the terms (Deg(u) + Deg(v) − 2)2 over all edges uv of G, where Deg(u) is the degree of a vertex u in G. In this paper, we obtain some new upper and lower bounds for the RZ-invariant in terms of other graph parameters.

Keywords and Phrases

DegreeZagreb invariantRZ-invariant.

AMS Subject Classification

05C12, 05C76.

Reference information

How to Cite

K. Pattabiraman, Manzoor Ahmad Bhat (2020). BOUNDS ON RZ-INVARIANT OF GRAPHS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(1A), 01-06.
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