六角链的修正互惠度距离指标和多重随机六角链的广义Zagreb指标

The reformulated reciprocal degree distance index of hexagonal chain and general Zagreb index of random multiple hexagonal chain

令G是一个连通图,图G的修正互惠度距离指标定义为:R t(G)=∑{u,v}V(G)d G(u)+d G(v)/d G(u,v)+t,t≥0.本文在所有具有n个六边形的六角链中,确定了具有最小和最大修正互惠度距离指标的极值六角链.另外,还给出了多重随机六角链的广义Zagreb指标的明确结果.

Let G be a simple connected graph,the reformulated reciprocal degree distance index of G is defined as R t(G)=∑{u,v}V(G)d G(u)+d G(v)/d G(u,v)+t,t≥0.In this paper,we determined extremal hexagonal chains with minimum and maximum reformulated reciprocal degree distance indices in all hexagonal chains with n hexagons.Moreover,we present the exact formulae of general Zagreb index of random multiple hexagonal chains.