Title of article :
a note on polyomino chains with extremum general sum-connectivity index
Author/Authors :
ali, akbar university of ha il ha il - faculty of science - department of mathematics, saudi arabia , ali, akbar university of management and technology - knowledge unit of science, sialkot, pakistan , idrees, tahir university of management and technology - knowledge unit of science, sialkot, pakistan
Abstract :
the general sum-connectivity index of a graph g is defined as χα(g)=∑uv∈e(g)(du+dv)^α where du is degree of the vertex u∈v(g), α 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 χα values from a certain collection of polyomino chain graphs is solved for α 0. the obtained results together with already known results (concerning extremum χα values of polyomino chain graphs) give the complete solution of the aforementioned problem.
Keywords :
chemical graph theory, topological index, randic index, general sum , connectivity index , polyomino chain
Journal title :
Communications in Combinatorics and Optimization
Journal title :
Communications in Combinatorics and Optimization
