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» On the Grundy Number of a Graph
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COMBINATORICS
1999
93views more  COMBINATORICS 1999»
13 years 9 months ago
Induced Complete h-partite Graphs in Dense Clique-less Graphs
It is proven that for every fixed h, a and b, a graph with n vertices and minimum degree at least h-1 h n, which contains no copy of Kb (the complete graph with b vertices), conta...
Eldar Fischer
COMBINATORICS
2007
77views more  COMBINATORICS 2007»
13 years 10 months ago
Enumeration and Asymptotic Properties of Unlabeled Outerplanar Graphs
We determine the exact and asymptotic number of unlabeled outerplanar graphs. The exact number gn of unlabeled outerplanar graphs on n vertices can be computed in polynomial time,...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
DM
1998
95views more  DM 1998»
13 years 9 months ago
An Euler-type formula for median graphs
Let G be a median graph on n vertices and m edges and let k be the number of equivalence classes of the Djokovi´c’s relation Θ defined on the edge-set of G. Then 2n − m −...
Sandi Klavzar, Henry Martyn Mulder, Riste Skrekovs...
ICCS
2007
Springer
14 years 2 months ago
A Datatype Extension for Simple Conceptual Graphs and Conceptual Graphs Rules
We propose in this paper an extension of Conceptual Graphs that allows to use datatypes (strings, numbers, ...) for typing concept nodes. Though the model-theoretic semantics of th...
Jean-François Baget
CP
2008
Springer
13 years 12 months ago
Perfect Constraints Are Tractable
By using recent results from graph theory, including the Strong Perfect Graph Theorem, we obtain a unifying framework for a number of tractable classes of constraint problems. Thes...
András Z. Salamon, Peter G. Jeavons