A fast planar partition algorithm, I

A Fast Algorithm for MacMahon's Partition Analysis

This paper deals with evaluating constant terms of a special class of rational functions, the Elliott-rational functions. The constant term of such a function can be read off immediately from its partial fraction decomposition. We combine the theory of iterated Laurent series and a new algorithm for partial fraction decompositions to obtain a fast algorithm for MacMahon’s Omega calculus, which ...

A partition-based algorithm for clustering large-scale software systems

Clustering techniques are used to extract the structure of software for understanding, maintaining, and refactoring. In the literature, most of the proposed approaches for software clustering are divided into hierarchical algorithms and search-based techniques. In the former, clustering is a process of merging (splitting) similar (non-similar) clusters. These techniques suffered from the drawba...

A New Fast Data Encryption Algorithm (FDE)

A New Fast Data Encryption Algorithm (FDE)

A fast algorithm to test planar topological routability

We develop a simple linear time algorithm to determine if a collection of two pin nets can be routed, topologically, in a plane (i.e. single layer). Experiments indicate that this algorithm is faster than the linear time algorithm of Marek-Sadowska and Tarngg1].