5 papers
Gallai's Path Decomposition of Levi Graph
Akankshya Sahu, Sajith Padinhatteeri
Gallai's path decomposition conjecture states that for a connected graph on vertices, there exists a path decomposition of size . The Levi graph…
s-Club Cluster Vertex Deletion on Interval and Well-Partitioned Chordal Graphs
Dibyayan Chakraborty, L. Sunil Chandran, Sajith Padinhatteeri +1
In this paper, we study the computational complexity of \textsc{-Club Cluster Vertex Deletion}. Given a graph, \textsc{-Club Cluster Vertex Deletion (-CVD)} aims to delete…
Vertex transitive graphs with and small automorphism group
Niranjan Balachandran, Sajith Padinhatteeri, Pablo Spiga
For a graph and a positive integer , a vertex labelling is said to be -distinguishing if no non-trivial automorphism of preserves the sets…
The List Distinguishing Number of Kneser Graphs
Niranjan Balachandran, Sajith Padinhatteeri
A graph is said to be -distinguishable if the vertex set can be colored using colors such that no non-trivial automorphism fixes every color class, and the distinguishin…
Distinguishing Chromatic Number of Random Cayley graphs
Niranjan Balachandran, Sajith Padinhatteeri
The \textit{Distinguishing Chromatic Number} of a graph , denoted , was first defined in \cite{collins} as the minimum number of colors needed to properly color such…