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» Counting the number of independent sets in chordal graphs
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83
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SIAMDM
1998
165views more  SIAMDM 1998»
14 years 9 months ago
The Number of Independent Sets in a Grid Graph
If f(m, n) is the (vertex) independence number of the m × n grid graph, then we show that the double limit η = def limm,n→∞ f(m, n) 1 mn exists, thereby refining earlier res...
Neil J. Calkin, Herbert S. Wilf
IPL
2006
105views more  IPL 2006»
14 years 9 months ago
Finding and counting cliques and independent sets in r-uniform hypergraphs
We present a matrix multiplication based algorithm for counting the number of (induced) occurrences of a fixed r-uniform hypergraph in a larger hypergraph. In many cases, the runn...
Raphael Yuster
72
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CPC
2010
138views more  CPC 2010»
14 years 7 months ago
The Number of Independent Sets in a Regular Graph
Yufei Zhao
109
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GC
2011
Springer
14 years 4 months ago
The Number of Independent Sets in a Graph with Small Maximum Degree
David Galvin, Yufei Zhao