Arc reversals in tournaments
نویسندگان
چکیده
منابع مشابه
On arc-traceable tournaments
A digraph D = (V, A) is arc-traceable if for each arc xy in A, xy lies on a directed path containing all the vertices of V , i.e. a hamiltonian path. Given a tournament T , it is well known that it contains a directed hamiltonian path. In this paper, we develop the structure necessary for a tournament T to contain an arc xy that is not on any hamiltonian path. Using this structure, we give suff...
متن کاملTournaments as Feedback Arc Sets
We examine the size s(n) of a smallest tournament having the arcs of an acyclic tournament on n vertices as a minimum feedback arc set. Using an integer linear programming formulation we obtain lower bounds s(n) ≥ 3n − 2 − blog2 nc or s(n) ≥ 3n − 1 − blog2 nc, depending on the binary expansion of n. When n = 2k − 2t we show that the bounds are tight with s(n) = 3n−2−blog2 nc. One view of this p...
متن کاملFeedback Arc Set Problem in Bipartite Tournaments
In this paper we give ratio 4 deterministic and randomized approximation algorithms for the FEEDBACK ARC SET problem in bipartite tournaments. We also generalize these results to give a factor 4 deterministic approximation algorithm for FEEDBACK ARC SET problem in multipartite tournaments. © 2007 Elsevier B.V. All rights reserved.
متن کاملKernels for Feedback Arc Set In Tournaments
A tournament T = (V,A) is a directed graph in which there is exactly one arc between every pair of distinct vertices. Given a digraph on n vertices and an integer parameter k, the Feedback Arc Set problem asks whether the given digraph has a set of k arcs whose removal results in an acyclic digraph. The Feedback Arc Set problem restricted to tournaments is known as the k-Feedback Arc Set in Tou...
متن کاملFaster FAST(Feedback Arc Set in Tournaments)
We present an algorithm that finds a feedback arc set of size k in a tournament in time n2 √ . This is asymptotically faster than the running time of previously known algorithms for this problem.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1988
ISSN: 0012-365X
DOI: 10.1016/0012-365x(88)90031-3