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» The proof of Hermann's conjecture
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1995
IEEE
15 years 3 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
15 years 1 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
15 years 1 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»
14 years 6 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
15 years 3 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...