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» Every rayless graph has an unfriendly partition
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COCOON
2009
Springer
13 years 12 months ago
Convex Partitions with 2-Edge Connected Dual Graphs
It is shown that for every finite set of disjoint convex polygonal obstacles in the plane, with a total of n vertices, the free space around the obstacles can be partitioned into ...
Marwan Al-Jubeh, Michael Hoffmann, Mashhood Ishaqu...
JGT
2006
70views more  JGT 2006»
13 years 5 months ago
Vertex partitions of chordal graphs
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
David R. Wood
ICALP
2011
Springer
12 years 8 months ago
Clustering with Local Restrictions
We study a family of graph clustering problems where each cluster has to satisfy a certain local requirement. Formally, let µ be a function on the subsets of vertices of a graph G...
Daniel Lokshtanov, Dániel Marx
GD
2004
Springer
13 years 10 months ago
Layouts of Graph Subdivisions
A k-stack layout (respectively, k-queue layout) of a graph consists of a total order of the vertices, and a partition of the edges into k sets of non-crossing (non-nested) edges wi...
Vida Dujmovic, David R. Wood
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 5 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...