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CIKM
2008
Springer
13 years 10 months ago
Linear time membership in a class of regular expressions with interleaving and counting
The extension of Regular Expressions (REs) with an interleaving (shuffle) operator has been proposed in many occasions, since it would be crucial to deal with unordered data. Howe...
Giorgio Ghelli, Dario Colazzo, Carlo Sartiani
PLANX
2008
13 years 10 months ago
Linear Time Membership for a Class of XML Types with Interleaving and Counting
Regular Expressions (REs) form the basis of most XML type languages, such as DTDs, XML Schema types, and XDuce types (Thompson et al. 2004; Hosoya and Pierce 2003). In this contex...
Giorgio Ghelli, Dario Colazzo, Carlo Sartiani
CORR
2006
Springer
123views Education» more  CORR 2006»
13 years 8 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 8 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
DM
2008
177views more  DM 2008»
13 years 8 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...