On subtournaments of a tournament
WebBeineke and Harary [l] recently showed that the maximum number of strong tournaments with k nodes that can be contained in a tournament with n nodes is if 3 ≤ k ≤ n. The object of this note is to obtain some additional results of this type. Web24 de out. de 2024 · The proof is simple: choose any one vertex [math]\displaystyle{ v }[/math]to be part of this subtournament, and form the rest of the subtournament recursively on either the set of incoming neighbors of [math]\displaystyle{ v }[/math]or the set of outgoing neighbors of [math]\displaystyle{ v }[/math], whichever is larger.
On subtournaments of a tournament
Did you know?
WebStrong Subtournaments of Multipartite Tournaments Lutz Volkmann Lehrstuhl II fur Mathematik, RWTH Aachen 52056 Aachen, Germany e-mail: [email protected] Abstract An orientation of a complete graph is a tournament, and an orientation of a complete n-partite graph is an n-partite tournament. For each n 2:: 4, Web24 de out. de 2014 · The present article shows that for any regular tournament T of order n, the equality 2c4 (T)+c5 (T)=n (n−1) (n+1) ( n−3) (n−3)) (n2−6n+3)/160 holds, and …
WebDOI: 10.1016/j.disc.2006.10.019 Corpus ID: 1425990; Almost regular c-partite tournaments contain a strong subtournament of order c when c >= 5 @article{Volkmann2008AlmostRC, title={Almost regular c-partite tournaments contain a strong subtournament of order c when c >= 5}, author={Lutz Volkmann and Stefan Winzen}, journal={Discret.
Web1 de jul. de 2012 · First, we prove that given a prime tournament $G$ which is not in one of three special families of tournaments, for any prime subtournament $H$ of $G$ with $5 … WebThe minimum number of cycles of length k a strong tournament T can contain is n - k + 1. n This follows from Theorems 1 and 2 and the fact that each strong sub tournament T , of …
WebA tournament is a digraph such that for every two distinct vertices u,v there is exactly one arc with ends {u,v} (so, either the arc uv or the arc vu but not both). In this paper, we …
Web1 de ago. de 2024 · In this paper, we focus on cycle factors in k-regular bipartite tournaments, that is in orientations of complete bipartite graphs such that every vertex has an in-degree and an out-degree equal to k. Thus, notice … macarthur bible commentary pdfWeb23 de jan. de 2024 · Subjects include irreducible and strong tournaments, cycles and strong subtournaments of a tournament, the distribution of 3-cycles in a tournament, transitive … macarthur blvd okcWebevery vertex v2V(T) are both transitive. Alternatively a locally transitive tournament is a tournament that has no occurrences of W 4 nor of L 4, where W 4 and L 4 are the tour-naments of size 4 with outdegree sequences (1;1;1;3) and (0;2;2;2) respectively. On the other hand, a balanced tournament is a tournament with an odd number of vertices 2n+1 macarthur bible commentary onlineWebsubtournament of a tournament T n is maximal if it is not a proper subtournament of any other transitive subtournamenn. Let otf f(n) T denote the maximum number of maximal … macarthur bible study seriesWebA transitive subtournament of a tournament Tnis maximal if it is not a proper subtournament of any other transitive subtournamenn. Let otf f(n) T denote the maximum number of maximal transitive subtournaments a tournamenncan havet T; we find by inspection, for example, that /(I) = /(2) = 1 and /(3) = /(4) = 3. macarthur biblical counselingWeb1 de dez. de 2008 · A local tournament is an oriented graph such that the negative neighborhood as well as the positive neighborhood of every vertex induces a tournament. It is well known that every tournament... kitchenaid fresh prep vs food processorWeb23 de jan. de 2024 · Strong Subtournaments of a Tournament. The Distribution of 3-cycles in a Tournament. Transitive Tournaments. Sets of Consistent Arcs in a Tournament. The Parity of the Number of Spanning Paths of a Tournament. The Maximum Number of Spanning Paths of a Tournament. An Extremal Problem. The Diameter of a … kitchenaid fridge 14 inch wide