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COMPGEOM
2008
ACM
15 years 8 months ago
Polychromatic colorings of plane graphs
We show that the vertices of any plane graph in which every face is of length at least g can be colored by (3g - 5)/4 colors so that every color appears in every face. This is nea...
Noga Alon, Robert Berke, Kevin Buchin, Maike Buchi...
CORR
2007
Springer
109views Education» more  CORR 2007»
15 years 6 months ago
Graph rigidity, Cyclic Belief Propagation and Point Pattern Matching
—A recent paper [1] proposed a provably optimal polynomial time method for performing near-isometric point pattern matching by means of exact probabilistic inference in a chordal...
Julian John McAuley, Tibério S. Caetano, Ma...
CORR
2010
Springer
130views Education» more  CORR 2010»
15 years 3 months ago
Oblivious Buy-at-Bulk in Planar Graphs
In the oblivious buy-at-bulk network design problem in a graph, the task is to compute a fixed set of paths for every pair of source-destination in the graph, such that any set of ...
Srinivasagopalan Srivathsan, Costas Busch, S. Sith...
CSR
2009
Springer
16 years 1 months ago
Partitioning Graphs into Connected Parts
The 2-Disjoint Connected Subgraphs problem asks if a given graph has two vertex-disjoint connected subgraphs containing prespecified sets of vertices. We show that this problem is...
Pim van 't Hof, Daniël Paulusma, Gerhard J. W...
COCOON
2007
Springer
16 years 1 months ago
Can a Graph Have Distinct Regular Partitions?
The regularity lemma of Szemer´edi gives a concise approximate description of a graph via a so called regular-partition of its vertex set. In this paper we address the following ...
Noga Alon, Asaf Shapira, Uri Stav