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IGPL
2008
67views more  IGPL 2008»
15 years 1 months ago
Complete Axiomatisations of Properties of Finite Sets
We study a logic whose formulae are interpreted as properties of a finite set over some universe. The language is propositional, with two unary operators inclusion and extension, ...
Thomas Ågotnes, Michal Walicki
FFA
2006
77views more  FFA 2006»
15 years 1 months ago
Linear error-block codes
A linear error-block code is a natural generalization of the classical error-correcting code and has applications in experimental design, high-dimensional numerical integration an...
Keqin Feng, Lanju Xu, Fred J. Hickernell
COMBINATORICS
2007
68views more  COMBINATORICS 2007»
15 years 1 months ago
Compositions of Graphs Revisited
The idea of graph compositions, which was introduced by A. Knopfmacher and M. E. Mays, generalizes both ordinary compositions of positive integers and partitions of finite sets. ...
Aminul Huq
COMBINATORICS
2007
64views more  COMBINATORICS 2007»
15 years 1 months ago
Extremal Subsets of {1, ..., n} Avoiding Solutions to Linear Equations in Three Variables
We refine previous results to provide examples, and in some cases precise classifications, of extremal subsets of {1, ..., n} containing no solutions to a wide class of non-inva...
Peter Hegarty
COMBINATORICS
2007
72views more  COMBINATORICS 2007»
15 years 1 months ago
On Self-Complementary Cyclic Packing of Forests
A graph is self-complementary if it is isomorphic to its complement. In this paper we prove that every forest of order 4p and size less than 3p is a subgraph of a self-complementa...
A. Pawel Wojda, Mariusz Wozniak, Irmina A. Ziolo