Prasanth G. Narasimha-Shenoi

activity

20132026

most citedTopological Representation of the Transit Sets of k-Point Crossover Operators

3 citations · 5 across the 13 of their papers we have counts for

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9 papers · 1 filter

math.CO2026

Eccentric Connectivity Index of Cartesian product and Strong product of Strongly Connected Digraphs

Vysakh Chakooth, Prasanth G. Narasimha-Shenoi

Let $G = (V, E)$ be a graph. The \emph{eccentric connectivity index} of $G$ is defined as $ξ^{C} (G) = u \in V (G) \sum d_{u} ecc (u)$ where $d_{u}$ and $ecc (u)$ are the degree and eccentricity…

math.CO2026

Smooth Graphs

Boštjan Brešar, Manoj Changat, Prasanth G. Narasimha-Shenoi +2

The notion of smoothness was introduced originally in the context of step systems on connected graphs. Smoothness turns out to be a very general property of metrics defined by a fi…

math.CO2025

Boundary vertices of Strongly Connected Digraphs with respect to `Sum Metric'

Bijo S. Anand, Manoj Changat, Prasanth G. Narasimha-Shenoi +3

Suppose $D = (V, E)$ is a strongly connected digraph and $u, v \in V (D)$ . Among the many metrics in graphs, the sum metric warrants further exploration. The sum distance $sd(u, v)…

math.CO2025

Eccentric Connectivity Index of Strongly Connected Digraphs

Vysakh Chakooth, Prasanth G. Narasimha-Shenoi, Prakash G. Narasimha-Shenoi

Let $G = (V, E)$ be a graph with non-empty set of vertices $V$ and set of edges $E$ . The \emph{eccentric connectivity index} of the graph $G$ is defined as $$\displaystyle{ξ^C(G) =…

math.CO2025

Partitions and covers in $Δ$ convexity

Bijo S. Anand, Manoj Changat, Mitre C. Dourado +2

Given a graph $G$ and a set $S \subseteq V (G)$ , we say that $S$ is $Δ$ -convex if the neighborhood of every vertex not in $S$ is an independent set. A collection ${\cal V} = (V_1, V…

math.CO2025

Carath $e ˊ$ odory Number and Exchange Number in $Δ$ -convexity

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

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

math.CO2024

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

Bijo S Anand, Arun Anil, Manoj Changat +2

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

math.CO2024

Directed Transit Functions

Arun Anil, Manoj Changat, Lekshmi Kamal K-Sheela +5

Transit functions were introduced as models of betweenness on undirected structures. Here we introduce directed transit function as the directed analogue on directed structures suc…

math.CO2017★ 3 cited

Topological Representation of the Transit Sets of k-Point Crossover Operators

Manoj Changat, Prasanth G. Narasimha-Shenoi, Ferdoos Hossein Nezhad +4

$k$ -point crossover operators and their recombination sets are studied from different perspectives. We show that transit functions of $k$ -point crossover generate, for all $k > 1$ , t…

Eccentric Connectivity Index of Cartesian product and Strong product of Strongly Connected Digraphs

Smooth Graphs

Boundary vertices of Strongly Connected Digraphs with respect to `Sum Metric'

Eccentric Connectivity Index of Strongly Connected Digraphs

Partitions and covers in Δ convexity

Caratheˊodory Number and Exchange Number in Δ-convexity

Helly Number, Radon Number and Rank in Δ-Convexity on Graphs

Directed Transit Functions

Topological Representation of the Transit Sets of k-Point Crossover Operators

Partitions and covers in $Δ$ convexity

Carath $e ˊ$ odory Number and Exchange Number in $Δ$ -convexity

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