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
SN - 2217-5539
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
IS - 1
ER -