English

Strong connectivity and its applications

Discrete Mathematics 2016-10-21 v2 Combinatorics Neurons and Cognition

Abstract

Directed graphs are widely used in modelling of nonsymmetric relations in various sciences and engineering disciplines. We discuss invariants of strongly connected directed graphs - minimal number of vertices or edges necessary to remove to make remaining graphs not strongly connected. By analogy with undirected graphs these invariants are called strong vertex/edge connectivities. We review some properties of these invariants. Computational results for some publicly available connectome graphs used in neuroscience are described.

Keywords

Cite

@article{arxiv.1609.07355,
  title  = {Strong connectivity and its applications},
  author = {Peteris Daugulis},
  journal= {arXiv preprint arXiv:1609.07355},
  year   = {2016}
}
R2 v1 2026-06-22T15:59:14.563Z