Title
The Number of Seymour Vertices in Random Tournaments and Digraphs
Abstract
Seymour's distance two conjecture states that in any digraph there exists a vertex (a \"Seymour vertex\") that has at least as many neighbors at distance two as it does at distance one. We explore the validity of probabilistic statements along lines suggested by Seymour's conjecture, proving that almost surely there are a \"large\" number of Seymour vertices in random tournaments and \"even more\" in general random digraphs.
Year
DOI
Venue
2016
10.1007/s00373-015-1672-9
Graphs and Combinatorics
Keywords
Field
DocType
Tournament, Digraph, Seymour’s conjecture
Discrete mathematics,Tournament,Combinatorics,Existential quantification,Vertex (geometry),Almost surely,Probabilistic logic,Conjecture,Digraph,Mathematics
Journal
Volume
Issue
ISSN
32
5
1435-5914
Citations 
PageRank 
References 
2
0.49
2
Authors
4
Name
Order
Citations
PageRank
zachary cohn120.49
Anant P. Godbole29516.08
elizabeth wright harkness320.49
yiguang zhang420.49