A bstract The twisted index of 3d $$ \mathcal{N} N = 2 gauge theories on S 1 × Σ has an algebro-geometric interpretation as the Witten effective supersymmetric quantum mechanics. In this paper, we consider contributions to mechanics from topological saddle points in localisation abelian theories. Topological ...

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.

Three new distance—based topological indices are described; two of them, D and D1 (mean distance topological indices, for any graphs, and for acyclic graphs, respectively) have a modest discriminating ability but may be useful for correlations, e. g. with octane numbers. The third index, J (average distance sum connectivity) is the least degenerate single topological index proposed till now. Th...