IntroductionCurrently the problem of transferring results of algebraic topology to discrete objects and, in particular, to various categories of digraphs and graphs, is widely investigated. The main technical tools are given by the homotopy theory and various homology theories. We present the basic methods of algebraic topology in graph theory and describe relations between continious and discr...
IntroductionThis course will discuss topological modelling of combinatorial objects such as (di-)graphs and hypergraphs. The course will guide the students to read the relevant references on the topic for learning how to apply the theories in algebraic topology to the combinatorial objects. The course will also display some applications of algebraic topology in data analytics through topologica...