The acyclic orientation game on random graphs

Noga Alon*, Zsolt Tuza

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

It is shown that in the random graph Gnp with (fixed) edge probability p > 0, the number of edges that have to be examined in order to identify an acyclic orientation is θ(n log n) almost surely. For unrestricted p, an upper bound of O(n log3n) is established. Graphs G = V, E in which all edges have to be examined are considered, as well.

Original languageEnglish
Pages (from-to)261-268
Number of pages8
JournalRandom Structures and Algorithms
Volume6
Issue number2-3
DOIs
StatePublished - 1995

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