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» The proof of Hermann's conjecture
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COMBINATORICA
2008
62views more  COMBINATORICA 2008»
13 years 7 months ago
The toric ideal of a graphic matroid is generated by quadrics
Describing minimal generating sets of toric ideals is a well-studied and difficult problem. Neil White conjectured in 1980 that the toric ideal associated to a matroid is generated...
Jonah Blasiak
DCG
1998
66views more  DCG 1998»
13 years 7 months ago
The Volume as a Metric Invariant of Polyhedra
It is proved that in R3 the volume of any polyhedron is a root of some polynomial with coefficients depending only on the combinatorial structure and the metric of the polyhedron....
Idzhad Kh. Sabitov
FOCS
2009
IEEE
14 years 2 months ago
Resolving the Simultaneous Resettability Conjecture and a New Non-Black-Box Simulation Strategy
Canetti, Goldreich, Goldwasser, and Micali (STOC 2000) introduced the notion of resettable zeroknowledge proofs, where the protocol must be zero-knowledge even if a cheating veri...
Yi Deng, Vipul Goyal, Amit Sahai
COMBINATORICA
2008
112views more  COMBINATORICA 2008»
13 years 7 months ago
On the rigidity of molecular graphs
The rigidity of squares of graphs in three-space has important applications to the study of flexibility in molecules. The Molecular Conjecture, posed in 1984 by T-S. Tay and W. Wh...
Bill Jackson, Tibor Jordán
CJ
2006
78views more  CJ 2006»
13 years 7 months ago
A Very Mathematical Dilemma
Mathematics is facing a dilemma at its heart: the nature of mathematical proof. We have known since Church and Turing independently showed that mathematical provability was undeci...
Alan Bundy