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» The proof of Hermann's conjecture
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JCT
2007
107views more  JCT 2007»
13 years 7 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»
13 years 7 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»
14 years 2 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
13 years 9 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»
13 years 11 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