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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
ISVD
2007
IEEE
14 years 1 months ago
From the Kneser-Poulsen conjecture to ball-polyhedra via Voronoi diagrams
A very fundamental geometric problem on finite systems of spheres was independently phrased by Kneser (1955) and Poulsen (1954). According to their well-known conjecture if a fi...
Károly Bezdek
JSC
2008
58views more  JSC 2008»
13 years 7 months ago
A Groebner basis approach to solve a Conjecture of Nowicki
Let k be a field of characteristic zero, n any positive integer and let n be the derivation n i=1 Xi Yi of the polynomial ring k[X1, . . . , Xn, Y1, . . . , Yn] in 2n variables o...
Joseph Khoury
COMBINATORICS
2004
96views more  COMBINATORICS 2004»
13 years 7 months ago
Conjectured Combinatorial Models for the Hilbert Series of Generalized Diagonal Harmonics Modules
Haglund and Loehr previously conjectured two equivalent combinatorial formulas for the Hilbert series of the Garsia-Haiman diagonal harmonics modules. These formulas involve weigh...
Nicholas A. Loehr, Jeffrey B. Remmel
COMBINATORICS
2004
129views more  COMBINATORICS 2004»
13 years 7 months ago
Operations on Well-Covered Graphs and the Roller-Coaster Conjecture
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
Philip Matchett