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» The proof of Hermann's conjecture
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JCT
2007
107views more  JCT 2007»
14 years 11 months ago
Vertex-minors, monadic second-order logic, and a conjecture by Seese
We prove that one can express the vertex-minor relation on finite undirected graphs by formulas of monadic second-order logic (with no edge set quantification) extended with a p...
Bruno Courcelle, Sang-il Oum
CAGD
2006
97views more  CAGD 2006»
14 years 11 months ago
Conditions for use of a non-selfintersection conjecture
Abstract. Volino and Thalmann have published a conjecture proposing sufficient conditions for non-selfintersection of surfaces. Such conditions may be used in solid modeling, compu...
Lars-Erik Andersson, Neil F. Stewart, Malika Zidan...
STOC
2009
ACM
152views Algorithms» more  STOC 2009»
15 years 6 months ago
Green's conjecture and testing linear-invariant properties
A system of linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np− ) solutions of Mx = b can be turned...
Asaf Shapira
CATS
2007
15 years 1 months ago
Analysis of Busy Beaver Machines via Induction Proofs
The busy beaver problem is to find the maximum number of 1’s that can be printed by an n-state Turing machine of a particular type. A critical step in the evaluation of this va...
James Harland
COCO
1995
Springer
83views Algorithms» more  COCO 1995»
15 years 3 months ago
The Instance Complexity Conjecture
The instance complexity of a string x with respect to a set A and time bound t, ict (x : A), is the length of the shortest program for A that runs in time t, decides x correctly, ...
Martin Kummer