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ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 7 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
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 9 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 1 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