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» Ordered Vertex Partitioning
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DAM
2011
13 years 4 months ago
A General Label Search to investigate classical graph search algorithms
Many graph search algorithms use a labeling of the vertices to compute an ordering of the vertices. We generalize this idea by devising a general vertex labeling algorithmic proce...
Richard Krueger, Geneviève Simonet, Anne Be...
SODA
2004
ACM
93views Algorithms» more  SODA 2004»
13 years 11 months ago
On the number of rectangular partitions
How many ways can a rectangle be partitioned into smaller ones? We study two variants of this problem: when the partitions are constrained to lie on n given points (no two of whic...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter
IJCAI
2003
13 years 11 months ago
Practical Partition-Based Theorem Proving for Large Knowledge Bases
Query answering over commonsense knowledge bases typically employs a first-order logic theorem prover. While first-order inference is intractable in general, provers can often b...
Bill MacCartney, Sheila A. McIlraith, Eyal Amir, T...
COMBINATORICS
2000
49views more  COMBINATORICS 2000»
13 years 9 months ago
A Short Proof of a Partition Relation for Triples
We provide a much shorter proof of the following partition theorem of P. Erdos and R. Rado: If X is an uncountable linear order into which neither 1 nor 1 embeds, then X (, 4)3 f...
Albin L. Jones
SAC
2005
ACM
14 years 3 months ago
Rearranging data objects for efficient and stable clustering
When a partitional structure is derived from a data set using a data mining algorithm, it is not unusual to have a different set of outcomes when it runs with a different order of...
Gyesung Lee, Xindong Wu, Jinho Chon