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» On the Grundy Number of a Graph
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JCT
2011
83views more  JCT 2011»
13 years 2 months ago
Sandpile groups and spanning trees of directed line graphs
Abstract. We generalize a theorem of Knuth relating the oriented spanning trees of a directed graph G and its directed line graph LG. The sandpile group is an abelian group associa...
Lionel Levine
GD
2007
Springer
14 years 1 months ago
Improvement on the Decay of Crossing Numbers
We prove that the crossing number of a graph decays in a “continuous fashion” in the following sense. For any ε > 0 there is a δ > 0 such that for n sufficiently large...
Jakub Cerný, Jan Kyncl, Géza T&oacut...
CG
2008
Springer
13 years 9 months ago
About the Completeness of Depth-First Proof-Number Search
Abstract. Depth-first proof-number (df-pn) search is a powerful member of the family of algorithms based on proof and disproof numbers. While df-pn has succeeded in practice, its t...
Akihiro Kishimoto, Martin Müller 0003
JCT
2006
168views more  JCT 2006»
13 years 7 months ago
Mono-multi bipartite Ramsey numbers, designs, and matrices
Eroh and Oellermann defined BRR(G1, G2) as the smallest N such that any edge coloring of the complete bipartite graph KN,N contains either a monochromatic G1 or a multicolored G2....
Paul N. Balister, András Gyárf&aacut...
CIE
2007
Springer
14 years 1 months ago
The Complexity Ecology of Parameters: An Illustration Using Bounded Max Leaf Number
In the framework of parameterized complexity, exploring how one parameter affects the complexity of a different parameterized (or unparameterized problem) is of general interest....
Michael R. Fellows, Frances A. Rosamond