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math.CO2026
Thresholds and Fluctuations for Colorful Arithmetic Progressions in Sparse Random Colorings
Bhaswar B. Bhattacharya, Sanchayan Bhowal, Atmadeep Sengupta
In this paper, we derive thresholds and fluctuations for arithmetic progressions with prescribed color patterns in sparse random colorings of , where each…
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
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…