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» Proof of a Chromatic Polynomial Conjecture
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STOC
2003
ACM
109views Algorithms» more  STOC 2003»
14 years 6 months ago
Generating random regular graphs
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
Jeong Han Kim, Van H. Vu
CHARME
2003
Springer
103views Hardware» more  CHARME 2003»
13 years 11 months ago
Linear and Nonlinear Arithmetic in ACL2
Abstract. As of version 2.7, the ACL2 theorem prover has been extended to automatically verify sets of polynomial inequalities that include nonlinear relationships. In this paper w...
Warren A. Hunt Jr., Robert Bellarmine Krug, J. Str...
JC
2008
92views more  JC 2008»
13 years 5 months ago
Characterizing Valiant's algebraic complexity classes
Valiant introduced 20 years ago an algebraic complexity theory to study the complexity of polynomial families. The basic computation model used is the arithmetic circuit, which ma...
Guillaume Malod, Natacha Portier
JCT
2011
87views more  JCT 2011»
13 years 21 days ago
Chain enumeration of k-divisible noncrossing partitions of classical types
We give combinatorial proofs of the formulas for the number of multichains in the k-divisible noncrossing partitions of classical types with certain conditions on the rank and the ...
Jang Soo Kim
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 5 months ago
On the Difficulty of Designing Good Classifiers
We consider the problem of designing a near-optimal linear decision tree to classify two given point sets B and W in n. A linear decision tree de nes a polyhedral subdivision of sp...
Michelangelo Grigni, Vincent Mirelli, Christos H. ...