P. Francis

activity

20182022

most cited

χ

-binding functions for some classes of

(P_{3} \cup P_{2})

-free graphs

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.CO2021

On Domatic and Total Domatic Numbers of Product Graphs

P. Francis, Deepak Rajendraprasad

A \emph{domatic} (\emph{total domatic}) \emph{ $k$ -coloring} of a graph $G$ is an assignment of $k$ colors to the vertices of $G$ such that each vertex contains vertices of all $k$ …

math.CO2021

Bounds for the b-chromatic number of powers of hypercubes

P. Francis, S. Francis Raj, M. Gokulnath

The b-chromatic number $b (G)$ of a graph $G$ is the maximum $k$ for which $G$ has a proper vertex coloring using $k$ colors such that each color class contains at least one vertex…