— It is well known that complex networks have become a very important part of our daily lives and have been intensively studied in all fields over the last few years. This paper...
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
We present some new decision and comparison problems of unusually high computational complexity. Most of the problems are strictly combinatorial in nature; others involve basic lo...
In this paper we describe the process of mining complex relationships in spatial databases using the Maximal Participation Index (maxPI), which has a property of discovering low s...
Bavani Arunasalam, Sanjay Chawla, Pei Sun, Robert ...
We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in t...