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math.CO2026
Exact-Distance Domination in Grid Graphs
Sandip Das, Sweta Das, Arpan Sadhukhan
Let be the square grid, and let . A set is an \emph{exact-distance -dominating set} if every vertex has a…
math.CO2026
Parameterized complexity of -Hop, -Step, and -Hop Roman Domination
Sandip Das, Sweta Das, Sk Samim Islam
The \textsc{Dominating Set} problem is a classical and extensively studied topic in graph theory and theoretical computer science. In this paper, we examine the algorithmic complex…
math.CO2026
On the Number of Almost Empty Monochromatic Triangles
Bhaswar B. Bhattacharya, Sandip Das, Sk Samim Islam +3
In this paper, we consider the problem of counting almost empty monochromatic triangles in colored planar point sets, that is, triangles whose vertices are all assigned the same co…