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FCT
2009
Springer
15 years 4 months ago
Independence Results for n-Ary Recursion Theorems
The n-ary first and second recursion theorems formalize two distinct, yet similar, notions of self-reference. Roughly, the n-ary first recursion theorem says that, for any n algo...
John Case, Samuel E. Moelius
DM
1998
100views more  DM 1998»
14 years 9 months ago
Upper domination and upper irredundance perfect graphs
Let β(G), Γ(G) and IR(G) be the independence number, the upper domination number and the upper irredundance number, respectively. A graph G is called Γperfect if β(H) = Γ(H),...
Gregory Gutin, Vadim E. Zverovich
ARSCOM
2004
104views more  ARSCOM 2004»
14 years 9 months ago
Complete Minors in Cubic Graphs with few short Cycles and Random Cubic Graphs
We first prove that for any fixed k a cubic graph with few short cycles contains a Kk-minor. This is a direct generalisation of a result on girth by Thomassen. We then use this the...
Klas Markstrom
CSR
2009
Springer
15 years 4 months ago
Variations on Muchnik's Conditional Complexity Theorem
Muchnik’s theorem about simple conditional descriptions states that for all strings a and b there exists a short program p transforming a to b that has the least possible length ...
Daniil Musatov, Andrei E. Romashchenko, Alexander ...
CORR
2006
Springer
134views Education» more  CORR 2006»
14 years 9 months ago
Max-Cut and Max-Bisection are NP-hard on unit disk graphs
We prove that the max-cut and max-bisection problems are NP-hard on unit disk graphs. We also show that -precision graphs are planar for > 1/ 2 and give a dichotomy theorem f...
Josep Díaz, Marcin Kaminski