TY - JOUR

T1 - New Sharp lower bounds for the first Zagreb index

AU - Mansour, T.

AU - Rostami, M.A.

AU - Suresh, E.

AU - Xavier, G.B.A.

PY - 2016

Y1 - 2016

N2 - 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].

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].

U2 - 10.5937/spsunp1601011m

DO - 10.5937/spsunp1601011m

M3 - מאמר

VL - 8

SP - 11

EP - 19

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

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

SN - 2217-5539

IS - 1

ER -