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» The Number of Independent Sets in a Regular Graph
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DAM
1999
105views more  DAM 1999»
14 years 9 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
ALGORITHMICA
2010
95views more  ALGORITHMICA 2010»
14 years 9 months ago
Homogeneous String Segmentation using Trees and Weighted Independent Sets
We divide a string into k segments, each with only one sort of symbols, so as to minimize the total number of exceptions. Motivations come from machine learning and data mining. F...
Peter Damaschke
MLQ
2011
14 years 4 months ago
Weak Borel chromatic numbers
Given a graph G whose set of vertices is a Polish space X, the weak Borel chromatic number of G is the least size of a family of pairwise disjoint G-independent Borel sets that cov...
Stefan Geschke
60
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DAM
2007
81views more  DAM 2007»
14 years 9 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...
COCOON
2007
Springer
15 years 3 months ago
Can a Graph Have Distinct Regular Partitions?
The regularity lemma of Szemer´edi gives a concise approximate description of a graph via a so called regular-partition of its vertex set. In this paper we address the following ...
Noga Alon, Asaf Shapira, Uri Stav