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math.CO2026
Almost Empty Monochromatic Triangles With Many Colors
Bhaswar B. Bhattacharya, Sandip Das, Sk Samim Islam +2
Given integers and , let denote the least integer such that every set of at least points in the plane, no three on a line…
math.CO2026
An Improved Upper Bound for the Turán Number of the Hexagon
Sandip Das, Sk Samim Islam, Aashirwad Mohapatra +1
For a graph , the Turán number is the maximum number of edges in an -vertex graph containing no copy of . Determining the Turán numbers of even cy…
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…