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ENTCS
2002
77views more  ENTCS 2002»
13 years 5 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...
FCS
2009
13 years 3 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»
13 years 5 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»
13 years 5 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
13 years 6 months 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