Abstract | ||
---|---|---|
An edge coloring of a tournament T with colors 1,2,…,k is called k-transitive if the digraph T(i) defined by the edges of color i is transitively oriented for each 1⩽i⩽k. We explore a conjecture of the second author: For each positive integer k there exists a (least) p(k) such that every k-transitive tournament has a dominating set of at most p(k) vertices. |
Year | DOI | Venue |
---|---|---|
2013 | 10.1016/j.jctb.2014.02.001 | Journal of Combinatorial Theory, Series B |
Keywords | DocType | Volume |
Domination,Transitive tournaments | Journal | 107 |
ISSN | Citations | PageRank |
0095-8956 | 4 | 0.56 |
References | Authors | |
9 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Dömötör Pálvölgyi | 1 | 202 | 29.14 |
András Gyárfás | 2 | 582 | 102.26 |