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CCCG
2009
15 years 3 months ago
Colored Simultaneous Geometric Embeddings and Universal Pointsets
A set of n points in the plane is a universal pointset for a given class of graphs, if any n-vertex graph in that class can be embedded in the plane so that vertices are mapped to...
Alejandro Estrella-Balderrama, J. Joseph Fowler, S...
SPAA
2005
ACM
15 years 7 months ago
Peer-to-peer networks based on random transformations of connected regular undirected graphs
We present k-Flipper, a graph transformation algorithm that transforms regular undirected graphs. Given a path of k +2 edges it interchanges the end vertices of the path. By defin...
Peter Mahlmann, Christian Schindelhauer
STOC
2002
ACM
121views Algorithms» more  STOC 2002»
16 years 2 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
153
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ISAAC
2010
Springer
266views Algorithms» more  ISAAC 2010»
14 years 11 months ago
Structural and Complexity Aspects of Line Systems of Graphs
We study line systems in metric spaces induced by graphs. A line is a subset of vertices defined by a relation of betweeness. We show that the class of all graphs having exactly k ...
Jozef Jirásek, Pavel Klavík
SIAMDM
2010
111views more  SIAMDM 2010»
14 years 8 months ago
Random Walks with Look-Ahead in Scale-Free Random Graphs
If m 2 is constant and 0 r log log n for a small positive constant , then whp a random walk with look-ahead r on a scale-free graph G = G(m, n) has cover time CG(r) (2/(mr-1(...
Colin Cooper, Alan M. Frieze