An Upper Bound on the First Zagreb Index in Trees

نویسندگان

1 Azarbaijan Shahid Madani University, Tabriz, Iran

2 Azarbaijan Shahid Madani University, Tabriz, Iran

3 Institute for Research in Fundamental Sciences, Tehran, Iran

doi
10.22052/ijmc.2017.42995
چکیده

In this paper we give sharp upper bounds on the Zagreb indices and characterize all trees achieving equality in these bounds. Also, we give lower bound on first Zagreb coindex of trees.