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» On the Finiteness of the Recursive Chromatic Number
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APAL
1998
71views more  APAL 1998»
13 years 4 months ago
On the Finiteness of the Recursive Chromatic Number
A recursive graph is a graph whose vertex and edges sets are recursive. A highly recursive graph is a recursive graph that also has the following property: one can recursively det...
William I. Gasarch, Andrew C. Y. Lee
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
13 years 4 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...
CORR
2010
Springer
104views Education» more  CORR 2010»
13 years 5 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang
JGT
2008
69views more  JGT 2008»
13 years 5 months ago
List colorings with measurable sets
The measurable list chromatic number of a graph G is the smallest number such that if each vertex v of G is assigned a set L(v) of measure in a fixed atomless measure space, the...
Jan Hladký, Daniel Král, Jean-S&eacu...
SSPR
2000
Springer
13 years 8 months ago
Encoding Nondeterministic Finite-State Tree Automata in Sigmoid Recursive Neural Networks
Abstract. Recently, a number of authors have explored the use of recursive recursive neural nets (RNN) for the adaptive processing of trees or tree-like structures. One of the most...
Mikel L. Forcada, Rafael C. Carrasco