Amitabha Tripathi

activity

20202025

collaborators

5 papers

math.NT2025

On the Frobenius Problem for Some Generalized Fibonacci Subsequences -- II

Ryan Azim Shaikh, Amitabha Tripathi

For a set $A$ of positive integers with $g cd (A) = 1$ , let $⟨ A ⟩$ denote the set of all finite linear combinations of elements of $A$ over the non-negative integers. The…

math.NT2024

On the Frobenius Problem for Some Generalized Fibonacci Subsequences -- I

Santak Panda, Kartikeya Rai, Amitabha Tripathi

For a set $A$ of positive integers with $g cd (A) = 1$ , let $⟨ A ⟩$ denote the set of all finite linear combinations of elements of $A$ over the non-negative integers. The…

math.CO2024

Measures of closeness to cordiality for graphs

Anand Brahmbhatt, Kartikeya Rai, Amitabha Tripathi

A graph $G$ is cordial if there exists a function $f$ from the vertices of $G$ to ${0, 1}$ such that the number of vertices labelled $0$ and the number of vertices labelled $1$ di…

math.CO2024

On the two-colour Rado number for $\sum_{i = 1}^{m} a_{i} x_{i} = c$

Ishan Arora, Srashti Dwivedi, Amitabha Tripathi

Let $a_{1}, \dots, a_{m}$ be nonzero integers, $c \in Z$ and $r \geq 2$ . The Rado number for the equation \[ \sum_{i=1}^m a_ix_i = c \] in $r$ colours is the least positive integ…

math.CO2020

On the least size of a graph with a given degree set -- II

Jai Moondra, Aditya Sahdev, Amitabha Tripathi

The degree set of a finite simple graph $G$ is the set of distinct degrees of vertices of $G$ . A theorem of Kapoor, Polimeni & Wall asserts that the least order of a graph with a g…