%0 Journal Article
%T A note on polyomino chains with extremum general sum-connectivity index
%J Communications in Combinatorics and Optimization
%I Azarbaijan Shahid Madani University
%Z 2538-2128
%A Ali, Akbar
%A Idrees, Tahir
%D 2021
%\ 06/01/2021
%V 6
%N 1
%P 81-91
%! A note on polyomino chains with extremum general sum-connectivity index
%K chemical graph theory
%K topological index
%K Randi'c index, general sum-connectivity index
%K polyomino chain
%R 10.22049/cco.2020.26866.1153
%X The general sum-connectivity index of a graph $G$ is defined as $chi_{alpha}(G)= sum_{uvin E(G)} (d_u + d_{v})^{alpha}$ where $d_{u}$ is degree of the vertex $uin V(G)$, $alpha$ is a real number different from $0$ and $uv$ is the edge connecting the vertices $u,v$. In this note, the problem of characterizing the graphs having extremum $chi_{alpha}$ values from a certain collection of polyomino chain graphs is solved for $alpha<0$. The obtained results together with already known results (concerning extremum $chi_{alpha}$ values of polyomino chain graphs) give the complete solution of the aforementioned problem.
%U http://comb-opt.azaruniv.ac.ir/article_14100_a10c261c639facff76ab34a95c3f68f4.pdf