Arun Anil

collaborators

4 papers

math.CO2025

Carath $A ~ c ◯$ odory Number and Exchange Number in $I^$ -convexity

Bijo S. Anand, Arun Anil, Manoj Changat +2

Given a graph $G$ , a set is $I^$ -convex if there is no vertex $u \in V (G) ∖ S$ forming a triangle with two vertices of $S$ . The $I^$ -convex hull of $S$ is the minimum $I^$ -co…

math.CO2025

On the stress transit function

Arun Anil, Manoj Changat, Tanja Dravec +5

The stress interval $S (u, v)$ between $u, v \in V (G)$ is the set of all vertices in a graph $G$ that lie on every shortest $u, v$ -path. A set $U \subseteq V (G)$ is stress convex if $S(…

math.CO2024

Helly Number, Radon Number and Rank in $I^$ -Convexity on Graphs

Bijo S Anand, Arun Anil, Manoj Changat +2

This article discusses $I^$ -convexity on simple connected graphs. We establish general bounds for the Helly number, Radon number, and rank with respect to $I^$ -convexity on graphs.…

math.CO2024

Recognition of chordal graphs and cographs which are Cover-Incomparability graphs

Arun Anil, Manoj Changat

Cover-Incomparability graphs (C-I graphs) are an interesting class of graphs from posets. A C-I graph is a graph from a poset $P = (V, \leq)$ with vertex set $V$ , and the edge-set is t…

CarathA~c◯odory Number and Exchange Number in I^-convexity

On the stress transit function

Helly Number, Radon Number and Rank in I^-Convexity on Graphs

Recognition of chordal graphs and cographs which are Cover-Incomparability graphs

Carath $A ~ c ◯$ odory Number and Exchange Number in $I^$ -convexity

Helly Number, Radon Number and Rank in $I^$ -Convexity on Graphs