Notices of the International Consortium of Chinese Mathematicians

Volume 10 (2022)

Number 2

Advances in path homology theory of digraphs

Pages: 61 – 124



Alexander Grigor’yan (Department of Mathematics, University of Bielefeld, Germany)


The purpose of this paper is to introduce a new emerging area of research: the theory of path homology on digraphs, also known as GLMY-homology.

The copyright for this paper belongs to the author. Used with permission.

The author acknowledges a continued financial support of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Project-ID 317210226 – SFB 1283, as well as the hospitality and support of Tsinghua University (Beijing) and Chinese University of Hong Kong during multiple visits there.

Published 6 February 2023