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JGT
2010
158views more  JGT 2010»
13 years 9 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran
RC
1998
92views more  RC 1998»
13 years 10 months ago
When Is the Product of Intervals Also an Interval?
Interval arithmetic is based on the fact that for intervals on the real line, the element-wise product of two intervals is also an interval. This property is not always true: e.g....
Olga Kosheleva, Piet G. Vroegindeweij
MOC
2002
112views more  MOC 2002»
13 years 10 months ago
Approximation of the Hilbert Transform on the real line using Hermite zeros
The authors study the Hilbert Transform on the real line. They introduce some polynomial approximations and some algorithms for its numerical evaluation. Error estimates in uniform...
M. C. De Bonis, Biancamaria Della Vecchia, Giusepp...
LOGCOM
2002
72views more  LOGCOM 2002»
13 years 10 months ago
Definability in Rationals with Real Order in the Background
The paper deals with logically definable families of sets (or point-sets) of rational numbers. In particular we are interested whether the families definable over the real line wi...
Yuri Gurevich, Alexander Moshe Rabinovich
JAT
2007
92views more  JAT 2007»
13 years 10 months ago
On real-analytic recurrence relations for cardinal exponential B-splines
Let LN+1 be a linear differential operator of order N + 1 with constant coefficients and real eigenvalues 1, . . . , N+1, let E( N+1) be the space of all C∞-solutions of LN+1 o...
J. M. Aldaz, Ognyan Kounchev, Hermann Render
ENTCS
2007
86views more  ENTCS 2007»
13 years 10 months ago
On the Non-sequential Nature of Domain Models of Real-number Computation
Escard´o, Hofmann and Streicher showed that real-number computations in the interval-domain environment are inherently parallel, in the sense that they imply the presence of weak...
Thomas Anberrée
ISAAC
2000
Springer
178views Algorithms» more  ISAAC 2000»
14 years 2 months ago
Simple Algorithms for a Weighted Interval Selection Problem
Given a set of jobs, each consisting of a number of weighted intervals on the real line, and a number m of machines, we study the problem of selecting a maximum weight subset of th...
Thomas Erlebach, Frits C. R. Spieksma
FSTTCS
2006
Springer
14 years 2 months ago
Coresets for Discrete Integration and Clustering
Given a set P of n points on the real line and a (potentially innite) family of functions, we investigate the problem of nding a small (weighted) subset S P, such that for any f ...
Sariel Har-Peled
CSR
2006
Springer
14 years 2 months ago
Expressiveness of Metric Modalities for Continuous Time
Abstract. We prove a conjecture by A. Pnueli and strengthen it showing a sequence of "counting modalities" none of which is expressible in the temporal logic generated by...
Yoram Hirshfeld, Alexander Moshe Rabinovich