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» Graphs, partitions and Fibonacci numbers
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ICPP
1995
IEEE
13 years 11 months ago
Multilevel Graph Partitioning Schemes
– In this paper we present experiments with a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller gra...
George Karypis, Vipin Kumar
COMBINATORICA
2008
123views more  COMBINATORICA 2008»
13 years 6 months ago
Counting canonical partitions in the random graph
Algorithms are given for computing the number of n-element diagonal sets and the number of n-element strongly diagonal sets of binary sequences of length at most 2n - 2. The first...
Jean A. Larson
SIAMDM
2008
154views more  SIAMDM 2008»
13 years 7 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
DAM
1999
105views more  DAM 1999»
13 years 7 months ago
The b-chromatic Number of a Graph
The achromatic number (G) of a graph G = (V, E) is the maximum k such that V has a partition V1, V2, . . . , Vk into independent sets, the union of no pair of which is independent...
Robert W. Irving, David Manlove
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 8 months ago
Parameterizing by the Number of Numbers
The usefulness of parameterized algorithmics has often depended on what Niedermeier has called, "the art of problem parameterization." In this paper we introduce and expl...
Michael R. Fellows, Serge Gaspers, Frances A. Rosa...