@article {
author = {Ali, Akbar and Idrees, Tahir},
title = {A note on polyomino chains with extremum general sum-connectivity index},
journal = {Communications in Combinatorics and Optimization},
volume = {6},
number = {1},
pages = {81-91},
year = {2021},
publisher = {Azarbaijan Shahid Madani University},
issn = {2538-2128},
eissn = {2538-2136},
doi = {10.22049/cco.2020.26866.1153},
abstract = {The general sum-connectivity index of a graph $G$ is defined as $\chi_{\alpha}(G)= \sum_{uv\in E(G)} (d_u + d_{v})^{\alpha}$ where $d_{u}$ is degree of the vertex $u\in V(G)$, $\alpha$ 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.},
keywords = {chemical graph theory,topological index,Randi'c index, general sum-connectivity index,polyomino chain},
url = {http://comb-opt.azaruniv.ac.ir/article_14100.html},
eprint = {http://comb-opt.azaruniv.ac.ir/article_14100_a10c261c639facff76ab34a95c3f68f4.pdf}
}