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CATS
2006
13 years 10 months ago
The Busy Beaver, the Placid Platypus and other Crazy Creatures
The busy beaver is an example of a function which is not computable. It is based on a particular class of Turing machines, and is defined as the largest number of 1's that ca...
James Harland
DM
2000
73views more  DM 2000»
13 years 8 months ago
Some formulae for partitions into squares
We consider the new problem of determining the number of partitions of a number into a fixed number k of squares, and find explicit formulae in the cases k = 2, 3, 4. Classificati...
Michael D. Hirschhorn
CORR
2008
Springer
112views Education» more  CORR 2008»
13 years 9 months ago
Minimal weight expansions in Pisot bases
For applications to cryptography, it is important to represent numbers with a small number of non-zero digits (Hamming weight) or with small absolute sum of digits. The problem of ...
Christiane Frougny, Wolfgang Steiner
DAM
2008
59views more  DAM 2008»
13 years 9 months ago
Vertex coloring acyclic digraphs and their corresponding hypergraphs
We consider vertex coloring of an acyclic digraph G in such a way that two vertices which have a common ancestor in G receive distinct colors. Such colorings arise in a natural wa...
Geir Agnarsson, Ágúst S. Egilsson, M...
ICDE
2004
IEEE
115views Database» more  ICDE 2004»
14 years 10 months ago
Unordered Tree Mining with Applications to Phylogeny
Frequent structure mining (FSM) aims to discover and extract patterns frequently occurring in structural data, such as trees and graphs. FSM finds many applications in bioinformat...
Dennis Shasha, Jason Tsong-Li Wang, Sen Zhang