First Betti number of the path homology of random directed graphs

Path homology is a topological invariant for directed graphs, which is sensitive to their asymmetry and can discern between digraphs which are indistinguishable to the directed flag complex. In Erdős–Rényi directed random graphs, the first Betti number undergoes two distinct transitions, appearing a...

Full description

Bibliographic Details
Main Author: Chaplin, T
Format: Journal article
Language:English
Published: Springer 2022