S. Goel

activity

20122021

most citedResistance distance in directed cactus graphs

8 citations · 27 across the 11 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.CO2021

On resistance matrices of weighted balanced digraphs

R. Balaji, R. B. Bapat, Shivani Goel

Let $G$ be a connected graph with $V (G) = {1, \dots, n}$ . Then the resistance distance between any two vertices $i$ and $j$ is given by $r_{ij} := l_{ii}^{†} + l_{j j}^{†} - 2 l_{ij}^{†}$ , whe…

math.NT2021

On the distribution of Ramanujan Sums over number fields

Sneha Chaubey, Shivani Goel

For a number field $K$ , and integral ideals $I$ and $J$ in its number ring $O_{K}$ , Nowak studied the asymptotic behaviour of the av…

math.CO2021★ 1 cited

Steiner distance matrix of caterpillar graphs

Ali Azimi, R. B. Bapat, Shivani Goel

For a connected graph $G := (V, E)$ , the Steiner distance $d_{G} (X)$ among a set of vertices $X$ is the minimum size among all the connected subgraphs of $G$ whose vertex set contains $…

math.FA2021

Generalized Euclidean distance matrices

R. Balaji, R. B. Bapat, Shivani Goel

Euclidean distance matrices (EDM) are symmetric nonnegative matrices with several interesting properties. In this article, we introduce a wider class of matrices called generalized…