TY - JOUR
ID - 14100
TI - A note on polyomino chains with extremum general sum-connectivity index
JO - Communications in Combinatorics and Optimization
JA - CCO
LA - en
SN - 2538-2128
AU - Ali, Akbar
AU - Idrees, Tahir
AD - University of Ha&#039;il
AD - University of Management and Technology, Sialkot, Pakistan
Y1 - 2021
PY - 2021
VL - 6
IS - 1
SP - 81
EP - 91
KW - chemical graph theory
KW - topological index
KW - Randi'c index, general sum-connectivity index
KW - polyomino chain
DO - 10.22049/cco.2020.26866.1153
N2 - 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.
UR - http://comb-opt.azaruniv.ac.ir/article_14100.html
L1 - http://comb-opt.azaruniv.ac.ir/article_14100_a10c261c639facff76ab34a95c3f68f4.pdf
ER -