New Sharp lower bounds for the first Zagreb index

T. Mansour; M.A. Rostami; E. Suresh; G.B.A. Xavier

doi:10.5937/spsunp1601011m

New Sharp lower bounds for the first Zagreb index

T. Mansour, M.A. Rostami, E. Suresh, G.B.A. Xavier

Department of Mathematics

University of Haifa

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

Abstract

The first Zagreb index M1 (G) defined as the sum of squares of the degrees of the vertices. In this paper we compare and analyze numerous lower bounds for the first Zagreb index involving the number of vertices, the number of edges and the maximum and minimum vertex degree. In addition, we propose new lower bound and correct the equality case in [E.I. Milovanović and I.Ž. Milovanović, Sharp Bounds for the first Zagreb index and first Zagreb coindex, Miskolc Mathematical notes, 16 (2015) 1017-1024].

Original language	English
Pages (from-to)	11-19
Number of pages	9
Journal	Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics
Volume	8
Issue number	1
DOIs	https://doi.org/10.5937/spsunp1601011m
State	Published - 2016

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10.5937/spsunp1601011m

Cite this

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title = "New Sharp lower bounds for the first Zagreb index",

abstract = "The first Zagreb index M1 (G) defined as the sum of squares of the degrees of the vertices. In this paper we compare and analyze numerous lower bounds for the first Zagreb index involving the number of vertices, the number of edges and the maximum and minimum vertex degree. In addition, we propose new lower bound and correct the equality case in [E.I. Milovanovi{\'c} and I.{\v Z}. Milovanovi{\'c}, Sharp Bounds for the first Zagreb index and first Zagreb coindex, Miskolc Mathematical notes, 16 (2015) 1017-1024].",

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year = "2016",

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AU - Rostami, M.A.

AU - Suresh, E.

AU - Xavier, G.B.A.

PY - 2016

Y1 - 2016

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AB - The first Zagreb index M1 (G) defined as the sum of squares of the degrees of the vertices. In this paper we compare and analyze numerous lower bounds for the first Zagreb index involving the number of vertices, the number of edges and the maximum and minimum vertex degree. In addition, we propose new lower bound and correct the equality case in [E.I. Milovanović and I.Ž. Milovanović, Sharp Bounds for the first Zagreb index and first Zagreb coindex, Miskolc Mathematical notes, 16 (2015) 1017-1024].

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DO - 10.5937/spsunp1601011m

M3 - مقالة

SN - 2217-5539

VL - 8

SP - 11

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JO - Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics

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