We present a simple space saving trick that applies to many previous algorithms for transitive closure and shortest paths in dynamic directed graphs. In these problems, an update c...
The data stream model has recently attracted attention for its applicability to numerous types of data, including telephone records, web documents and clickstreams. For analysis o...
We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens ...
Herbert Edelsbrunner, David Letscher, Afra Zomorod...
We show that the graph isomorphism problem is hard under DLOGTIME uniform AC0 many-one reductions for the complexity classes NL, PL (probabilistic logarithmic space) for every loga...
A probabilistic algorithm is presented to find the determinant of a nonsingular, integer matrix. For a matrix A ¡£¢ n¤ n the algorithm requires O¥ n3¦5 ¥ logn§ 4¦5§ bit...