o:28909 On the minimum second Zagreb index of trees with small parameters en Abstract: The second Zagreb index M2 is one of the oldest vertex-degree-based molecular structure descriptors, introduced in the 1970s. Recently, there has been a great interest in studying extremal graphs that minimize (or maximize) second Zagreb index in different classes of graphs. In this paper, lower bounds on the second Zagreb index of trees with given small parameters such as diameter, matching number and domination number are determined and the extremal trees are characterized, as well. Keywords: second Zagreb index, diameter, matching number, domination number 1552099 10.5937/SPSUNP2101009B 1552101 2217-5539 2023-04-24T09:31:11.541Z 44 no 46 Bojana Borovićanin 0000-0003-1443-120X Emir Zogić Državni univerzitet u Novom Pazaru person 0000-0002-1355-3785 application/pdf 93157 https://phaidrabg.bg.ac.rs/o:28909 no yes 1 70 92000001 20A01 Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics 13 1 9 16 2021