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ITA
2008
150views Communications» more  ITA 2008»
14 years 10 months ago
A note on univoque self-Sturmian numbers
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...
Jean-Paul Allouche
JCT
2006
60views more  JCT 2006»
14 years 10 months ago
On the number of rectangulations of a planar point set
We investigate the number of different ways in which a rectangle containing a set of n noncorectilinear points can be partitioned into smaller rectangles by n (non-intersecting) s...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter
JC
2007
130views more  JC 2007»
14 years 9 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
14 years 9 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...
CPC
2004
136views more  CPC 2004»
14 years 9 months ago
On the Strong Chromatic Number
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
Penny E. Haxell