English

Depth-first search in split-by-edges trees

Data Structures and Algorithms 2015-05-06 v1

Abstract

A layerwise search in a split-by-edges tree (as defined by Br{\ae}ndeland, 2015) of agiven graph produces a maximum independent set in exponential time. A depth-first search produces an independent set, which may or may not be a maximum, in linear time, but the worst case success rate is maybe not high enough to make it really interesting. What may make depth-first searching in split-by-edges trees interesting, though, is the pronounced oscillation of its success rate along the graph size axis.

Keywords

Cite

@article{arxiv.1505.01140,
  title  = {Depth-first search in split-by-edges trees},
  author = {Asbjørn Brændeland},
  journal= {arXiv preprint arXiv:1505.01140},
  year   = {2015}
}

Comments

3 pages

R2 v1 2026-06-22T09:28:39.678Z