3 papers
math.CO2026
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…
cs.DS2025
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…
cs.CC2025
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…