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JCSS
2011
81views more  JCSS 2011»
13 years 5 months ago
Representing real numbers in a generalized numeration system
Abstract. We show how to represent an interval of real numbers in an abstract numeration system built on a language that is not necessarily regular. As an application, we consider ...
Emilie Charlier, Marion Le Gonidec, Michel Rigo
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 7 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
CIE
2009
Springer
14 years 4 months ago
Index Sets and Universal Numberings
This paper studies the Turing degrees of various properties defined for universal numberings, that is, for numberings which list all partial-recursive functions. In particular pro...
Sanjay Jain, Frank Stephan, Jason Teutsch
ICASSP
2007
IEEE
14 years 4 months ago
ML Estimation of DNA Initial Copy Number in Polymerase Chain Reaction (PCR) Processes
Estimation of DNA copy number in a given biological sample is an extremely important problem in genomics. This problem is especially challenging when the number of the DNA strands...
Haris Vikalo, Babak Hassibi, Arjang Hassibi
COCOON
2007
Springer
14 years 4 months ago
On the Number of Cycles in Planar Graphs
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
Kevin Buchin, Christian Knauer, Klaus Kriegel, And...