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» Approximating Maximum Edge 2-Coloring in Simple Graphs
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ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
13 years 8 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
CATS
2006
13 years 10 months ago
Graph Orientation Algorithms to Minimize the Maximum Outdegree
We study the problem of orienting the edges of a weighted graph such that the maximum weighted outdegree of vertices is minimized. This problem, which has applications in the guar...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono, Kouhei ...
CATS
2006
13 years 10 months ago
On the Approximability of Maximum and Minimum Edge Clique Partition Problems
We consider the following clustering problems: given a general undirected graph, partition its vertices into disjoint clusters such that each cluster forms a clique and the number...
Anders Dessmark, Jesper Jansson, Andrzej Lingas, E...
COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 8 months ago
Maximum Cardinality 1-Restricted Simple 2-Matchings
A simple 2-matching in a graph is a subgraph all of whose nodes have degree 1 or 2. A simple 2-matching is called k-restricted if every connected component has > k edges. We co...
David Hartvigsen
JCT
2007
90views more  JCT 2007»
13 years 8 months ago
On the maximum number of edges in quasi-planar graphs
A topological graph is quasi-planar, if it does not contain three pairwise crossing edges. Agarwal et al. [2] proved that these graphs have a linear number of edges. We give a sim...
Eyal Ackerman, Gábor Tardos