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COMBINATORICS
2006
183views more  COMBINATORICS 2006»
15 years 6 months ago
On Oriented Arc-Coloring of Subcubic Graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that -----(u)(v) is an arc in H whenever...
Alexandre Pinlou
CORR
2007
Springer
69views Education» more  CORR 2007»
15 years 6 months ago
Lossless Representation of Graphs using Distributions
We consider complete graphs with edge weights and/or node weights taking values in some set. In the first part of this paper, we show that a large number of graphs are completely...
Mireille Boutin, Gregor Kemper
SSS
2010
Springer
134views Control Systems» more  SSS 2010»
15 years 4 months ago
Storage Capacity of Labeled Graphs
We consider the question of how much information can be stored by labeling the vertices of a connected undirected graph G using a constant-size set of labels, when isomorphic label...
Dana Angluin, James Aspnes, Rida A. Bazzi, Jiang C...
JSYML
2010
95views more  JSYML 2010»
15 years 1 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey
FCT
2007
Springer
15 years 8 months ago
On the Complexity of Kings
The diameter of an undirected graph is the minimal number d such that there is a path between any two vertices of the graph of length at most d. The radius of a graph is the minim...
Edith Hemaspaandra, Lane A. Hemaspaandra, Till Tan...