• Constant storage for computing shortest paths for a polyhedron 

    Chintala, Sraawya (2024)
    We present a new scheme for storing shortest path information for a polyhedron. This scheme is obtained by applying the constant storage scheme of Han and Saxena [5] on the outward layout of Sharir and Schorr [10]. We ...
  • Searching real numbers in constant time 

    Deebaguntla, Sreelatha (2024)
    This thesis introduces a novel approach for efficient searching of real numbers by integrating Fredman, Komlós and Szemerédi’s sparse table technique [5] with correspondence between real numbers and the integers converted ...
  • Time and space tradeoffs in point location 

    Gonuguntla, Mounika (2024)
    We preprocess the input subdivision with n points on the plane in O(n√log n) time and store them in O(n/t) space to facilitate point location in O(log t) time, where t is an adjustable parameter. When t is a constant we ...
  • Weisfeiler-Leman graph kernels for the out-of-distribution characterization of graph structured data 

    Miller, Luke James (2024)
    This thesis presents a new metric named Graph Distributional Analytics (GDA). This approach uses Weisfeiler-Leman kernels, cosine similarity, and traditional statistical metrics to better characterize graph-structured data. ...