Browsing by Advisor "Govindarajan, Sathish"
Now showing items 1-7 of 7
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Approximation Algorithms for Geometric Packing and Covering Problems
We study a host of geometric optimization problems that are NP-hard and design polynomial time approximation algorithms for them. More precisely, we are given a family of geometric objects and a point set, mostly in the ... -
Delaunay Graphs for Various Geometric Objects
(2017-12-12)Given a set of n points P ⊂ R2, the Delaunay graph of P for a family of geometric objects C is a graph defined as follows: the vertex set is P and two points p, p' ∈ P are connected by an edge if and only if there exists ... -
Hitting Geometric Range Spaces using a Few Points
(2018-02-15)A range space (P, S) consists of a set P of n elements and a collection S = {S1,...,Sm} of subsets of P , referred to as ranges. A hitting set for this range space refers to a subset H of P such that every Si in S contains ... -
Maximum Independent Set of Rectangles - An Empirical Study
We study the Maximum Independent Set of Rectangles (MISR) problem. The problem involves a collection of n axis-parallel rectangles in 2D with weights. For the unweighted case, the goal is to find the maximum number of ... -
Two Player Game Variant Of The Erdos Szekeres Problem
(2014-08-01)The following problem has been known for its beauty and elementary character. The Erd˝os Szekeres problem[7]: For any integer k ≥ 3, determine if there exists a smallest positive integer N(k) such that any set of atleast ... -
Variants and Generalization of Some Classical Problems in Combinatorial Geometry
(2018-02-18)In this thesis we consider extensions and generalizations of some classical problems in Combinatorial Geometry. Our work is an offshoot of four classical problems in Combinatorial Geometry. A fundamental assumption in these ...