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» On the Finiteness of the Recursive Chromatic Number
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APAL
1998
71views more  APAL 1998»
14 years 10 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»
14 years 10 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»
14 years 10 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»
14 years 10 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...
84
Voted
SSPR
2000
Springer
15 years 1 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