Title
A note on decompositions of transitive tournaments
Abstract
For any positive integer n, we determine all connected digraphs G of size at most four, such that a transitive tournament of order n is G-decomposable. Among others, these results disprove a generalization of a theorem of Sali and Simonyi [Orientations of self-complementary graphs and the relation of Sperner and Shannon capacities, European J. Combin. 20 (1999), 93-99].
Year
DOI
Venue
2007
10.1016/j.disc.2005.11.045
Discrete Mathematics
Keywords
Field
DocType
05c35,transitive tournaments,05c70,decomposition,shannon capacity
Integer,Discrete mathematics,Graph,Combinatorics,Tournament,Transitive reduction,Directed graph,Mathematics,Transitive relation
Journal
Volume
Issue
ISSN
307
7-8
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
2
Authors
5
Name
Order
Citations
PageRank
Agnieszka Görlich1279.19
Rafał Kalinowski24810.75
Mariusz Meszka33016.21
Monika Pilśniak4289.31
Mariusz Woźniak520434.54