AAIM
2009
Springer
13 years 2 months ago
2009
Springer
In this paper we introduce a discrete version of the online traveling salesman problem (DOLTSP). We represent the metric space using a weighted graph, where the server is allowed t...
JANCL
2002
13 years 4 months ago
2002
In [8, 6] we introduced a family of `modal' languages intended for talking about distances. These languages are interpreted in `distance spaces' which satisfy some (or a...
JSYML
2008
13 years 4 months ago
2008
Abstract. In this paper we study the metric spaces that are definable in a polynomially bounded ominimal structure. We prove that the family of metric spaces definable in a given p...
ISM
2006
IEEE
13 years 4 months ago
2006
IEEE
Similarity search is a fundamental operation for applications that deal with unstructured data sources. In this paper we propose a new pivot-based method for similarity search, ca...
JEA
2008
13 years 4 months ago
2008
The Spatial Approximation Tree (sa-tree) is a recently proposed data structure for searching in metric spaces. It has been shown that it compares favorably against alternative data...
CORR
2010
Springer
13 years 4 months ago
2010
Springer
In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we loo...
APAL
2010
13 years 4 months ago
2010
We propose and investigate a uniform modal logic framework for reasoning about topology and relative distance in metric and more general distance spaces, thus enabling the compari...
ESA
2010
Springer
13 years 5 months ago
2010
Springer
We study the problem of estimating the average of a Lipschitz continuous function f defined over a metric space, by querying f at only a single point. More specifically, we explore...
SIROCCO
2004
13 years 5 months ago
2004
In this paper we study the range assignment problem in static ad-hoc networks on metric spaces. We consider the h-strong connectivity and h-broadcast problems on trees, high dimens...
AIML
2006
13 years 6 months ago
2006
We propose a framework for comparing the expressive power and computational behaviour of modal logics designed for reasoning about qualitative aspects of metric spaces. Within this...