Amitabha Tripathi

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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…

Measures of closeness to cordiality for graphs

On the two-colour Rado number for ∑i=1m​ai​xi​=c

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