On finding a minimum dominating set in a tournament (Note)
Theoretical Computer Science
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Node-and edge-deletion NP-complete problems
STOC '78 Proceedings of the tenth annual ACM symposium on Theory of computing
An efficient fixed-parameter algorithm for 3-hitting set
Journal of Discrete Algorithms
Cluster graph modification problems
Discrete Applied Mathematics - Discrete mathematics & data mining (DM & DM)
Parameterized algorithms for feedback set problems and their duals in tournaments
Theoretical Computer Science - Parameterized and exact computation
A fixed-parameter algorithm for the directed feedback vertex set problem
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Improved algorithms for feedback vertex set problems
Journal of Computer and System Sciences
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Problems like the directed feedback vertex set problem have much better algorithms in tournaments when compared to general graphs. This motivates us to study a natural generalization of tournaments, named c-tournaments, and see if the structural properties of these graphs are helpful in obtaining similar algorithms. c-tournaments are simple digraphs which have directed paths of length at most c=1 between all pairs of vertices. We study the complexity of feedback vertex set and r-dominating set in c-tournaments. We also present hardness results on some graph editing problems involving c-tournaments.