The Harmonic Indices of Polyomino Chains
作者: Hanyuan DengS. BalachandranS. K. AyyaswamyY. B. Venkatakrishnan
作者单位: 1College of Mathematics and Computer Science, Hunan Normal University
2Department of Mathematics, School of Humanities and Sciences SASTRA University
刊名: National Academy Science Letters, 2014, Vol.37 (5), pp.451-455
来源数据库: Springer Nature Journal
DOI: 10.1007/s40009-014-0249-0
关键词: Harmonic indexPolyomino chainExtremal graph
英文摘要: Abstract(#br)The harmonic index $$H\left( G\right) $$ H G of a graph $$G$$ G is defined as the sum of the weights $$\frac{2}{d_{u}+ d_{v}}$$ 2 d u + d v of all edges $$uv$$ u v in $$G$$ G , where $$d_{u}$$ d u denotes the degree of a vertex $$u$$ u in $$G$$ G . In this paper, the harmonic indices of polyomino chains are computed. Also, the extremal polyomino chains with respect to harmonic index are determined.
全文获取路径: Springer Nature  (合作)
影响因子:0.067 (2012)