6 papers
Eccentricity Shortest Path: the structural parameter landscape
Anand Babu, Ashwin Jacob, Hitendra Kumar +1
The Eccentricity Shortest Path problem asks, given a connected graph and a nonnegative integer , whether some shortest path is within distance of every vertex. We study its…
The Complexity of Hamiltonian Cycles and Paths with Prescribed Walk Lengths
Hitendra Kumar, Mathieu Mari, R. B. Sandeep
Fix a set of positive integers. An -Hamiltonian cycle is a cyclic ordering of all vertices of a graph such that each consecutive pair is joined by a walk whose length belong…
Tight Upper Bounds on Color Reversal by Local Inversions
Hitendra Kumar, Kumud Singh Porte, R. B. Sandeep
A bicoloration of a graph is a map . A local inversion at a vertex complements the subgraph induced by the neighbors of and simultaneously reverse…
Inclusive and Exclusive Vertex Splitting into Specific Graph Classes: NP Hardness and Algorithms
Ajinkya Gaikwad, Hitendra Kumar, S. Padmapriya +3
We study a family of graph modification problems called the F-Vertex Splitting problem. Given a graph G, the task is to determine whether G can be transformed into a graph G-prime…
MaxMin Separation Problems: FPT Algorithms for -Separator and Odd Cycle Transversal
Ajinkya Gaikwad, Hitendra Kumar, Soumen Maity +2
In this paper, we study the parameterized complexity of the MaxMin versions of two fundamental separation problems: Maximum Minimal -Separator and Maximum Minimal Odd Cycle Tra…
Parameterized Algorithms for Editing to Uniform Cluster Graph
Ajinkya Gaikwad, Hitendra Kumar, Soumen Maity
We study the parameterized complexity of transforming graphs into Uniform Cluster graphs, where each component is an equal-sized clique. We consider Uniform Cluster Vertex Deletion…