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CORR
2006
Springer
123views Education» more  CORR 2006»
13 years 7 months ago
Counting good truth assignments of random k-SAT formulae
We present a deterministic approximation algorithm to compute logarithm of the number of `good' truth assignments for a random k-satisfiability (k-SAT) formula in polynomial ...
Andrea Montanari, Devavrat Shah
EJC
2006
13 years 7 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer
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...
EJC
2006
13 years 7 months ago
Parity reversing involutions on plane trees and 2-Motzkin paths
The problem of counting plane trees with n edges and an even or an odd number of leaves has been recently studied by Eu, Liu and Yeh, in connection with an identity on coloring ne...
William Y. C. Chen, Louis W. Shapiro, Laura L. M. ...
TCS
2008
13 years 7 months ago
The 2-radius and 2-radiian problems on trees
In this paper, we consider two facility location problems on tree networks. One is the 2-radius problem, whose goal is to partition the vertex set of the given network into two no...
Hung-Lung Wang, Kun-Mao Chao