ALGORITHMICA
2011
13 years 6 months ago
2011
Let V be a set of points in a d-dimensional lp-metric space. Let s, t ∈ V and let L be any real number. An L-bounded leg path from s to t is an ordered set of points which conne...
JDA
2010
13 years 10 months ago
2010
We introduce and analyze σ-local graphs, based on a definition of locality by Erickson [12]. We present two algorithms to construct such graphs, for any real number σ > 1 an...
JUCS
2002
13 years 11 months ago
2002
: Let b 2 be an integer. A real number is called simply normal to base b if in its representation to base b every digit appears with the same asymptotic frequency. We answer the f...
COMGEO
1999
ACM
13 years 11 months ago
1999
ACM
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
JSYML
2000
13 years 11 months ago
2000
There is a comeager set C contained in the set of 1-generic reals and a first order structure M such that for any real number X, there is an element of C which is recursive in X if...
DCG
2002
13 years 11 months ago
2002
For each pair (Qi, Qj) of reference points and each real number r there is a unique hyperplane h QiQj such that d(P, Qi)2 - d(P, Qj)2 = r for points P in h. Take n reference point...
RSA
2006
13 years 11 months ago
2006
Let n be a positive integer and > 0 a real number. Let Vn be a set of n points in the unit disk selected uniformly and independently at random. Define G(, n) to be the graph w...
MST
2008
13 years 11 months ago
2008
This paper studies coinductive representations of real numbers by signed digit streams and fast Cauchy sequences. It is shown how the associated coinductive principle can be used ...
JUCS
2008
13 years 11 months ago
2008
: For any class F of total functions in the set N of the natural numbers, we define the notion of F-computable real number. A real number is called Fcomputable if there exist one-...
ITA
2008
13 years 11 months ago
2008
We compare two sets of (infinite) binary sequences whose suffixes satisfy extremal conditions: one occurs when studying iterations of unimodal continuous maps from the unit interva...