English

Spectral bound for separations in Eulerian digraphs

Combinatorics 2015-11-12 v1

Abstract

The spectra of digraphs, unlike those of graphs, is a relatively unexplored territory. In a digraph, a separation is a pair of sets of vertices X and Y such that there are no arcs from X and Y . For a subclass of eulerian digraphs, we give an bound on the size of a separation in terms of the eigenvalues of the Laplacian matrix.

Keywords

Cite

@article{arxiv.1511.03317,
  title  = {Spectral bound for separations in Eulerian digraphs},
  author = {Krystal Guo},
  journal= {arXiv preprint arXiv:1511.03317},
  year   = {2015}
}

Comments

14 pages

R2 v1 2026-06-22T11:42:02.924Z