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CORR
2006
Springer
128views Education» more  CORR 2006»
13 years 10 months ago
The Shannon capacity of a graph and the independence numbers of its powers
The independence numbers of powers of graphs have been long studied, under several definitions of graph products, and in particular, under the strong graph product. We show that t...
Noga Alon, Eyal Lubetzky
DAM
2007
141views more  DAM 2007»
13 years 10 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
TIT
2008
105views more  TIT 2008»
13 years 10 months ago
Network Coding Capacity With a Constrained Number of Coding Nodes
Abstract-- We study network coding capacity under a constraint on the total number of network nodes that can perform coding. That is, only a certain number of network nodes can pro...
Jillian Cannons, Kenneth Zeger
APPML
2011
13 years 5 months ago
The fractional chromatic number of Zykov products of graphs
Zykov designed one of the oldest known family of triangle-free graphs with arbitrarily high chromatic number. We determine the fractional chromatic number of the Zykov product of ...
Pierre Charbit, Jean-Sébastien Sereni
ALT
2007
Springer
14 years 7 months ago
Learning in Friedberg Numberings
In this paper we consider learnability in some special numberings, such as Friedberg numberings, which contain all the recursively enumerable languages, but have simpler grammar e...
Sanjay Jain, Frank Stephan