English

(Quasi-)linear time algorithm to compute LexDFS, LexUP and LexDown orderings

Data Structures and Algorithms 2017-01-05 v2

Abstract

We consider the three graph search algorithm LexDFS, LexUP and LexDOWN. We show that LexUP orderings can be computed in linear time by an algorithm similar to the one which compute LexBFS. Furthermore, LexDOWN orderings and LexDFS orderings can be computed in time (n+mlogm)\left(n+m\log m\right) where nn is the number of vertices and mm the number of edges.

Cite

@article{arxiv.1701.00305,
  title  = {(Quasi-)linear time algorithm to compute LexDFS, LexUP and LexDown orderings},
  author = {Arthur Milchior},
  journal= {arXiv preprint arXiv:1701.00305},
  year   = {2017}
}
R2 v1 2026-06-22T17:38:56.499Z