In this paper, we address the problem of deciding absolute irreducibility of multivariate polynomials. Our work has been motivated by a recent work due to Gao et. al. [1, 2, 3] wh...
We prove a tight asymptotic bound of ( log(n/)) on the worst case computational complexity of the convex hull of the union of two convex objects of sizes summing to n requiring o...
We show that for any convex object Q in the plane, the average distance between the Fermat-Weber center of Q and the points in Q is at least 4(Q)/25, and at most 2(Q)/(3 3), wher...
We give a very short proof of the following result of Graham from 1980: For any finite coloring of Rd , d 2, and for any > 0, there is a monochromatic (d + 1)-tuple that span...
Let P be the point set in two dimensional plane. In this paper, we consider the problem of locating two isothetic unit squares such that together they cover maximum number of poin...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...