Title
Short Certificates for Tournaments
Abstract
An isomorphism certicate of a labeled tournament T is a labeled subdigraph of T which to- gether with an unlabeled copy of T allows the errorless reconstruction of T. It is shown that any tournament on n vertices contains an isomorphism certicate with at most n log2n edges. This answers a question of Fishburn, Kim and Tetali. A score certicate of T is a labeled subdigraph of T which together with the score sequence of T allows its errorless reconstruction. It is shown that there is an absolute constant > 0 so that any tournament on n vertices contains a score certicate with at most (1=2 )n2 edges.
Year
Venue
Field
1997
Journal of Graph Theory
Discrete mathematics,Tournament,Combinatorics,Vertex (geometry),Isomorphism,Mathematics,Certificate
DocType
Volume
Issue
Journal
4
1
Citations 
PageRank 
References 
5
0.65
1
Authors
2
Name
Order
Citations
PageRank
Noga Alon1104681688.16
M. Ruszinkó223035.16