A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifyi
Signal processing is the discipline of extracting information from collections of measurements. To be effective, the measurements must be organized and then fil
Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the app
Random graphs are vastly researched and are of great importance in modern discrete mathematics. A graph may be viewed as a one-dimensional simplicial complex.
This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through t