@article {
author = {Aghel, Majid and Erfanian, Ahmad and Dehghan-Zadeh, Tayebeh},
title = {Upper and Lower Bounds for the First and Second Zagreb Indices of Quasi Bicyclic Graphs},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {12},
number = {2},
pages = {79-88},
year = {2021},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2021.202592.1466},
abstract = {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].},
keywords = {First Zagreb index,second Zagreb index,quasi bicyclic graphs},
url = {https://ijmc.kashanu.ac.ir/article_111492.html},
eprint = {https://ijmc.kashanu.ac.ir/article_111492_a0af6e449d07a1b76f452c912c4db480.pdf}
}