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» The proof of Hermann's conjecture
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1995
IEEE
13 years 11 months ago
Tree Canonization and Transitive Closure
We prove that tree isomorphism is not expressible in the language (FO + TC + COUNT). This is surprising since in the presence of ordering the language captures NL, whereas tree is...
Kousha Etessami, Neil Immerman
CCCG
2003
13 years 9 months ago
Coloring Objects Built From Bricks
We address a question posed by Sibley and Wagon. They proved that rhombic Penrose tilings in the plane can be 3colored, but a key lemma of their proof fails in the natural 3D gene...
Suzanne Gallagher, Joseph O'Rourke
DAGSTUHL
2000
13 years 8 months ago
Similarity Measure Computation of Convex Polyhedra Revisited
We study the computation of rotation-invariant similarity measures of convex polyhedra, based on Minkowski's theory of mixed volumes. To compute the similarity measure, a (mix...
Jos B. T. M. Roerdink, Henk Bekker
JCT
2011
87views more  JCT 2011»
13 years 2 months 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
FOCS
2004
IEEE
13 years 11 months ago
Optimal Inapproximability Results for Max-Cut and Other 2-Variable CSPs?
In this paper we show a reduction from the Unique Games problem to the problem of approximating MAX-CUT to within a factor of GW + , for all > 0; here GW .878567 denotes the a...
Subhash Khot, Guy Kindler, Elchanan Mossel, Ryan O...