• Computational And Combinatorial Problems On Some Geometric Proximity Graphs 

      Khopkar, Abhijeet (2017-05-24)
      In this thesis, we focus on the study of computational and combinatorial problems on various geometric proximity graphs. Delaunay and Gabriel graphs are widely studied geometric proximity structures. These graphs have been ...
    • Delaunay Graphs for Various Geometric Objects 

      Agrawal, Akanksha (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 

      Ashok, Pradeesha (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 

      Komal, Alok Kumar
      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 ...
    • Module Grobner Bases Over Fields With Valuation 

      Sen, Aritra (2017-07-12)
      Tropical geometry is an area of mathematics that interfaces algebraic geometry and combinatorics. The main object of study in tropical geometry is the tropical variety, which is the combinatorial counterpart of a classical ...
    • Symmetry in Scalar Fields 

      Thomas, Dilip Mathew (2018-01-09)
      Scalar fields are used to represent physical quantities measured over a domain of interest. Study of symmetric or repeating patterns in scalar fields is important in scientific data analysis because it gives deep insights ...
    • Top-k Spatial Aware Ads 

      Savla, Virti
      Consider an app on a smartphone which displays local business ads. When a user opens the app, then k local business ads need to displayed (where k would typically be 3 or 5) such that the profit made by the app is ...
    • Variants and Generalization of Some Classical Problems in Combinatorial Geometry 

      Bharadwaj, Subramanya B V (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 ...