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» Exact Elimination of Cycles in Graphs
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WG
2009
Springer
14 years 1 months ago
Chordal Digraphs
Chordal graphs, also called triangulated graphs, are important in algorithmic graph theory. In this paper we generalise the definition of chordal graphs to the class of directed ...
Daniel Meister, Jan Arne Telle
IPL
2002
95views more  IPL 2002»
13 years 7 months ago
On a game in directed graphs
Inspired by recent algorithms for electing a leader in a distributed system, we study the following game in a directed graph: each vertex selects one of its outgoing arcs (if any)...
Alan J. Hoffman, Kate Jenkins, Tim Roughgarden
TCS
2008
13 years 7 months ago
The computational complexity of the parallel knock-out problem
We consider computational complexity questions related to parallel knock-out schemes for graphs. In such schemes, in each round, each remaining vertex of a given graph eliminates ...
Hajo Broersma, Matthew Johnson 0002, Daniël P...
COCOON
2006
Springer
13 years 11 months ago
Optimal Acyclic Edge Colouring of Grid Like Graphs
We determine the values of the acyclic chromatic index of a class of graphs referred to as d-dimensional partial tori. These are graphs which can be expressed as the cartesian prod...
Rahul Muthu, N. Narayanan, C. R. Subramanian
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 7 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey