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ENTCS
2002
77views more  ENTCS 2002»
14 years 11 months ago
Trivial Reals
Solovay showed that there are noncomputable reals such that H( n) H(1n) + O(1), where H is prefix-free Kolmogorov complexity. Such H-trivial reals are interesting due to the conn...
Rodney G. Downey, Denis R. Hirschfeldt, Andr&eacut...
94
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FCS
2009
14 years 9 months ago
Spectral Analysis of Attractors in Random Boolean Network Models
Circuits and loops in graph systems can be used to model the attractors in gene-regulatory networks. The number of such attractors grows very rapidly with network size and even fo...
Kenneth A. Hawick
COMBINATORICS
2007
77views more  COMBINATORICS 2007»
14 years 11 months ago
Enumeration and Asymptotic Properties of Unlabeled Outerplanar Graphs
We determine the exact and asymptotic number of unlabeled outerplanar graphs. The exact number gn of unlabeled outerplanar graphs on n vertices can be computed in polynomial time,...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
APAL
2007
88views more  APAL 2007»
14 years 11 months ago
Randomness and the linear degrees of computability
We show that there exists a real α such that, for all reals β, if α is linear reducible to β (α ≤ β, previously denoted α ≤sw β) then β ≤T α. In fact, every random ...
Andrew E. M. Lewis, George Barmpalias
COMAD
2009
15 years 21 days ago
Large Maximal Cliques Enumeration in Large Sparse Graphs
Identifying communities in social networks is a problem of great interest. One popular type of community is where every member of the community knows all others, which can be view...
Natwar Modani, Kuntal Dey