Arun J Manattu

collaborators

4 papers

math.CO2026

On a conjecture about the strong odd chromatic number of planar graphs

Arun J Manattu, Athira Vinay, Aparna Lakshmanan S

A proper coloring of a graph $G$ is said to be a strong odd coloring of $G$ , if for every vertex $v$ and every color $c$ , either $c$ appears on an odd number of vertices in the nei…

math.CO2025

ErdÅs Conjecture and AR-Labeling

Arun J Manattu, Aparna Lakshmanan S

Given an edge labeling $f$ of a graph $G$ , a vertex $v$ is called an $A R$ -vertex, if $v$ has distinct edge weight sums for each distinct subset of edges incident on $v$ . An injecti…

math.CO2025

On Geodesic Leech Labeling of Some Graph Classes

Aparna Lakshmanan S, Arun J Manattu

Let $f : E \to {1, 2, 3, \dots}$ be an edge labeling of $G$ . The geodesic path number of $G$ , $t_{g p} (G)$ , is the number of geodesic paths in $G$ . An edge labeling $f$ is calle…

math.CO2025

An edge labeling of graphs from Rados partition regularity condition

Arun J Manattu, Aparna Lakshmanan S

A vertex $v$ is called an AR-vertex, if $v$ has distinct edge weight sums for each distinct subset of edges incident on $v$ . i.e., if ${x_{1}, x_{2}, \dots, x_{k}}$ are the edge labels of…

On a conjecture about the strong odd chromatic number of planar graphs

ErdÅs Conjecture and AR-Labeling

On Geodesic Leech Labeling of Some Graph Classes

An edge labeling of graphs from Rados partition regularity condition

ErdÅs Conjecture and AR-Labeling