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ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
15 years 13 days 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
83
Voted
EJC
2007
15 years 14 days ago
Representations of directed strongly regular graphs
We develop a theory of representations in Rm for directed strongly regular graphs, which gives a new proof of a nonexistence condition of Jørgensen [8]. We also describe some new...
Chris D. Godsil, Sylvia A. Hobart, William J. Mart...
104
Voted
UAI
2003
15 years 1 months ago
Layerwidth: Analysis of a New Metric for Directed Acyclic Graphs
We analyze a new property of directed acyclic graphs (DAGs), called layerwidth, arising from a class of DAGs proposed by Eiter and Lukasiewicz. This class of DAGs permits certain ...
Mark Hopkins
108
Voted
LPAR
2004
Springer
15 years 5 months ago
Entanglement - A Measure for the Complexity of Directed Graphs with Applications to Logic and Games
We propose a new parameter for the complexity of finite directed graphs which measures to what extent the cycles of the graph are intertwined. This measure, called entanglement, i...
Dietmar Berwanger, Erich Grädel
116
Voted
SODA
2007
ACM
131views Algorithms» more  SODA 2007»
15 years 1 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty