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COMBINATORICA
2007
119views more  COMBINATORICA 2007»
15 years 6 months ago
Complete partitions of graphs
A complete partition of a graph G is a partition of its vertex set in which any two distinct classes are connected by an edge. Let cp(G) denote the maximum number of classes in a ...
Magnús M. Halldórsson, Guy Kortsarz,...
CORR
2010
Springer
130views Education» more  CORR 2010»
15 years 3 months ago
Oblivious Buy-at-Bulk in Planar Graphs
In the oblivious buy-at-bulk network design problem in a graph, the task is to compute a fixed set of paths for every pair of source-destination in the graph, such that any set of ...
Srinivasagopalan Srivathsan, Costas Busch, S. Sith...
CSL
2011
Springer
15 years 1 months ago
Applications of graph theory to an English rhyming corpus
How much can we infer about the pronunciation of a language – past or present – by observing which words its speakers rhyme? This paper explores the connection between pronunc...
Morgan Sonderegger
DM
2007
97views more  DM 2007»
15 years 6 months ago
Recognizing Cartesian products in linear time
We present an algorithm that determines the prime factors of connected graphs with respect to the Cartesian product in linear time and space. This improves a result of Aurenhammee...
Wilfried Imrich, Iztok Peterin
SIAMDM
2010
138views more  SIAMDM 2010»
15 years 5 months ago
The Last Fraction of a Fractional Conjecture
Reed conjectured that for every ε > 0 and every integer ∆, there exists g such that the fractional total chromatic number of every graph with maximum degree ∆ and girth at...
Frantisek Kardos, Daniel Král', Jean-S&eacu...