Prosenjit Bose

activity

20232025

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math.CO2024

On $k$ -planar Graphs without Short Cycles

Michael A. Bekos, Prosenjit Bose, Aaron Büngener +6

We study the impact of forbidding short cycles to the edge density of $k$ -planar graphs; a $k$ -planar graph is one that can be drawn in the plane with at most $k$ crossings per edg…

cs.CG2024

Approximating the Smallest $k$ -Enclosing Geodesic Disc in a Simple Polygon

Prosenjit Bose, Anthony D'Angelo, Stephane Durocher

We consider the problem of finding a geodesic disc of smallest radius containing at least $k$ points from a set of $n$ points in a simple polygon that has $m$ vertices, $r$ of whic…

On k-planar Graphs without Short Cycles

Approximating the Smallest k-Enclosing Geodesic Disc in a Simple Polygon

On $k$ -planar Graphs without Short Cycles

Approximating the Smallest $k$ -Enclosing Geodesic Disc in a Simple Polygon