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SIAMDM
2008
140views more  SIAMDM 2008»
13 years 7 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda
CCA
2005
Springer
13 years 9 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
ICALP
2004
Springer
14 years 26 days ago
An Analog Characterization of Elementarily Computable Functions over the Real Numbers
Abstract We present an analog and machine-independent algebraic characterization of elementarily computable functions over the real numbers in the sense of recursive analysis: we p...
Olivier Bournez, Emmanuel Hainry
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 26 days ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas
SIAMDM
2008
50views more  SIAMDM 2008»
13 years 7 months ago
Real Number Channel Assignments for Lattices
We consider the problem of assigning a numerical channel to each transmitter in a large regular array such that multiple levels of interference, which depend on the distance betwe...
Jerrold R. Griggs, Xiaohua Teresa Jin