In this paper, we introduce a generalized version of the Watchman Route Problem (WRP) where the objective is to plan a continuous closed route in a polygon (possibly with holes) a...
Let S be a set system of convex sets in Rd . Helly’s theorem states that if all sets in S have empty intersection, then there is a subset S′ ⊂ S of size d+1 which also has e...
Given a set P of n points in R2 , we consider two related problems. Firstly, we study the problem of computing two isothetic unit squares which may be either disjoint or intersect...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
In this paper, we consider the following graph embedding problem: Given a bipartite graph G = (V1, V2; E), where the maximum degree of vertices in V2 is 4, can G be embedded on a t...
Anil Ada, Melanie Coggan, Paul Di Marco, Alain Doy...
Local coordinates based on the Voronoi diagram are used in natural neighbour interpolation to quantify the "neighbourliness" of data sites. In an earlier paper, we have ...