3 citations · 3 across the 11 of their papers we have counts for
9 papers · 1 filter
Computing the Exchange Number in Graphs with respect to Cycle Convexity
Revathy S. Nair, Bijo S. Anand, Julliano R. Nascimento
Given a graph , a subset is \textit{cycle convex}, if for any vertex , the induced subgraph, cannot form a cycle con…
Carathéodory Number in Cycle Convexity
Revathy S. Nair, Bijo S. Anand, Ullas Chandran S. V. +1
Let be a graph and . In the cycle convexity, we say that is \textit{cycle convex} if for any , the induced subgraph of …
Boundary vertices of Strongly Connected Digraphs with respect to `Sum Metric'
Bijo S. Anand, Manoj Changat, Prasanth G. Narasimha-Shenoi +3
Suppose is a strongly connected digraph and . Among the many metrics in graphs, the sum metric warrants further exploration. The sum distance $sd(u, v)…
Partitions and covers in convexity
Bijo S. Anand, Manoj Changat, Mitre C. Dourado +2
Given a graph and a set , we say that is -convex if the neighborhood of every vertex not in is an independent set. A collection ${\cal V} = (V_1, V…
Revisiting the outer-weakly convex domination number in graph products
Bijo S. Anand, Ullas Chandran S. V., Jonecis A. Dayap +2
Let be a simple undirected connected graph. A set is weakly convex in if for every two vertices in , there exists a geodesic whos…
Carathodory Number and Exchange Number in -convexity
Bijo S. Anand, Arun Anil, Manoj Changat +2
Given a graph , a set is -convex if there is no vertex forming a triangle with two vertices of . The -convex hull of is the minimum -conve…
Complexity and Structural Results for the Hull and Convexity Numbers in Cycle Convexity for Graph Products
Bijo S. Anand, Ullas Chandran S. V., Julliano R. Nascimento +1
Let be a graph and . In the cycle convexity, we say that is \textit{cycle convex} if for any , the induced subgraph of …
Helly Number, Radon Number and Rank in -Convexity on Graphs
Bijo S Anand, Arun Anil, Manoj Changat +2
This article discusses -convexity on simple connected graphs. We establish general bounds for the Helly number, Radon number, and rank with respect to -convexity on graphs. A…
Characterization of general position sets and its applications to cographs and bipartite graphs
Bijo S. Anand, Ullas Chandran S. V., Manoj Changat +2
A vertex subset of a graph is a general position set of if no vertex of lies on a geodesic between two other vertices of . The cardinality of a largest general p…