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» On the number of maximal independent sets in a graph
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DAM
1999
119views more  DAM 1999»
13 years 7 months ago
On the Algorithmic Complexity of Twelve Covering and Independence Parameters of Graphs
The definitions of four previously studied parameters related to total coverings and total matchings of graphs can be restricted, thereby obtaining eight parameters related to cov...
David Manlove
ALGORITHMICA
2010
95views more  ALGORITHMICA 2010»
13 years 7 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
13 years 2 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
CORR
2008
Springer
150views Education» more  CORR 2008»
13 years 7 months ago
Message-passing for Maximum Weight Independent Set
Abstract--In this paper, we investigate the use of messagepassing algorithms for the problem of finding the max-weight independent set (MWIS) in a graph. First, we study the perfor...
Sujay Sanghavi, Devavrat Shah, Alan S. Willsky
DAM
2007
81views more  DAM 2007»
13 years 7 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...