We discuss a surprising relationship between the partially ordered set of Newton points associated with an affine Schubert cell and quantum cohomology complex flag variety. The main theorem provides combinatorial formula for unique maximum element in this poset terms paths Bruhat graph, whose vertices are indexed by elements finite Weyl group. Key to establishing connection is fact that graph e...

The eccentricity connectivity index of a molecular graph G is defined as (G) = aV(G) deg(a)ε(a), where ε(a) is defined as the length of a maximal path connecting a to other vertices of G and deg(a) is degree of vertex a. Here, we compute this topological index for some infinite classes of dendrimer graphs.

The co-maximal subgroup graph $$\Gamma (G)$$ of a group G is whose vertices are non-trivial proper subgroups and two H K adjacent if $$HK=G$$ . In this paper, we continue the study , especially when has isolated vertices. We define new ^*(G)$$ which obtained by removing from characterize connected, complete graph, star an universal vertex etc. also find various parameters like diameter, girth, ...