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 2020Show all

4 papers · 1 filter

math.CO2020

On distance matrices of helm graphs obtained from wheel graphs with an even number of vertices

Shivani Goel

Let $n \geq 4$ . The helm graph $H_{n}$ on $2 n - 1$ vertices is obtained from the wheel graph $W_{n}$ by adjoining a pendant edge to each vertex of the outer cycle of $W_{n}$ . Suppose $n$ i…

math.NT2020

Mean value estimates of gcd and lcm-sums

Sneha Chaubey, Shivani Goel

We study the distribution of the generalized gcd and lcm functions on average. The generalized gcd function, denoted by $(m, n)_{b}$ , is the largest $b$ -th power divisor common to $m$ …

math.CO2020★ 3 cited

On distance matrices of wheel graphs with odd number of vertices

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

Let $W_{n}$ denote the wheel graph having $n$ -vertices. If $i$ and $j$ are any two vertices of $W_{n}$ , define \[d_{ij}:= \begin{cases} 0 & \mbox{if}~i=j \\ 1 & \mbox{if}~i~ \mbox{and}…

math.CO2020★ 3 cited

An inverse formula for the distance matrix of a wheel graph with even number of vertices

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

Let $n \geq 4$ be an even integer and $W_{n}$ be the wheel graph with $n$ vertices. The distance $d_{ij}$ between any two distinct vertices $i$ and $j$ of $W_{n}$ is the length of the…