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» Degrees and choice numbers
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TAMC
2007
Springer
15 years 5 months ago
Working with the LR Degrees
We say that A ≤LR B if every B-random number is A-random. Intuitively this means that if oracle A can identify some patterns on some real γ, oracle B can also find patterns on ...
George Barmpalias, Andrew E. M. Lewis, Mariya Ivan...
ARSCOM
2004
124views more  ARSCOM 2004»
14 years 11 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
APPML
2011
14 years 6 months ago
Bounds on the k-domination number of a graph
The k-domination number of a graph is the cardinality of a smallest set of vertices such that every vertex not in the set is adjacent to at least k vertices of the set. We prove t...
Ermelinda DeLaViña, Wayne Goddard, Michael ...
MOC
2000
78views more  MOC 2000»
14 years 11 months ago
Using number fields to compute logarithms in finite fields
We describe an adaptation of the number field sieve to the problem of computing logarithms in a finite field. We conjecture that the running time of the algorithm, when restricted ...
Oliver Schirokauer
SAC
2000
ACM
15 years 4 months ago
A Weighted Coding in a Genetic Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The coding by which chromosomes represent candidate solutions is a fundamental design choice in a genetic algorithm. This paper describes a novel coding of spanning trees in a gen...
Günther R. Raidl, Bryant A. Julstrom