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» Graphs with Chromatic Roots in the Interval (1, 2)
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WG
1995
Springer
13 years 11 months ago
On Interval Routing Schemes and Treewidth
Abstract. In this paper, we investigate which processor networks allow klabel Interval Routing Schemes, under the assumption that costs of edges may vary. We show that for each xed...
Hans L. Bodlaender, Richard B. Tan, Dimitrios M. T...
ICALP
2011
Springer
12 years 11 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
JGAA
2008
100views more  JGAA 2008»
13 years 7 months ago
Parameters of Bar k-Visibility Graphs
Bar k-visibility graphs are graphs admitting a representation in which the vertices correspond to horizontal line segments, called bars, and the edges correspond to vertical lines...
Stefan Felsner, Mareike Massow
TOMS
2010
106views more  TOMS 2010»
13 years 5 months ago
Computing Tutte Polynomials
The Tutte polynomial of a graph, also known as the partition function of the q-state Potts model, is a 2-variable polynomial graph invariant of considerable importance in both comb...
Gary Haggard, David J. Pearce, Gordon Royle
JGT
2010
103views more  JGT 2010»
13 years 5 months ago
Proof of a conjecture on fractional Ramsey numbers
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
Jason Brown, Richard Hoshino