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SIAMCOMP
2008
72views more  SIAMCOMP 2008»
13 years 4 months ago
Plottable Real Number Functions and the Computable Graph Theorem
The Graph Theorem of classical recursion theory states that a total function on the natural numbers is computable, if and only if its graph is recursive. It is known that this res...
Vasco Brattka
CCA
2005
Springer
13 years 6 months ago
Computable Versions of Basic Theorems in Functional Analysis
If one wishes to find out whether a computational problem over discrete data is solvable or how complex it is, the classical approach is to represent the discrete objects in quest...
Atsushi Yoshikawa, Mariko Yasugi
AML
2008
124views more  AML 2008»
13 years 5 months ago
The elementary computable functions over the real numbers: applying two new techniques
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether def...
Manuel Lameiras Campagnolo, Kerry Ojakian
GC
2010
Springer
13 years 3 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
EJC
2000
13 years 4 months ago
Further Investigations Involving Rook Polynomials With Only Real Zeros
We study the zeros of two families of polynomials related to rook theory and matchings in graphs. One of these families is based on the cover polynomial of a digraph introduced by ...
James Haglund