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math.CO2025
Curves, points, incidences and covering
Arijit Bishnu, Mathew Francis, Pritam Majumder
Given a point set, mostly a grid in our case, we seek upper and lower bounds on the number of curves that are needed to cover the point set. We say a curve covers a point if the cu…
math.CO2020★ 1 cited
The linear arboricity conjecture for graphs of low degeneracy
Manu Basavaraju, Arijit Bishnu, Mathew Francis +1
A linear forest is an acyclic graph whose each connected component is a path; or in other words, it is an acyclic graph whose maximum degree is at most 2. A linear coloring of a gr…