%0 Journal Article
%T Upper and Lower Bounds for the First and Second Zagreb Indices of Quasi Bicyclic Graphs
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Aghel, Majid
%A Erfanian, Ahmad
%A Dehghan-Zadeh, Tayebeh
%D 2021
%\ 06/01/2021
%V 12
%N 2
%P 79-88
%! Upper and Lower Bounds for the First and Second Zagreb Indices of Quasi Bicyclic Graphs
%K First Zagreb index
%K second Zagreb index
%K quasi bicyclic graphs
%R 10.22052/ijmc.2021.202592.1466
%X The aim of this paper is to give an upper and lower bounds for the first and second Zagreb indices of quasi bicyclic graphs. For a simple graph G, we denote M1(G) and M2(G), as the sum of deg2(u) overall vertices u in G and the sum of deg(u)deg(v) of all edges uv of G, respectively. The graph G is called quasi bicyclic graph if there exists a vertex x ∈ V (G) such that G−x is a connected bicyclic graph. The results mentioned in this paper, are mostly new or an improvement of results given by authors for quasi unicyclic graphs in [1].
%U https://ijmc.kashanu.ac.ir/article_111492_a0af6e449d07a1b76f452c912c4db480.pdf