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TOMS
2010
106views more  TOMS 2010»
13 years 7 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
MFCS
1998
Springer
14 years 1 months ago
Facial Circuits of Planar Graphs and Context-Free Languages
It is known that a language is context-free iff it is the set of borders of the trees of recognizable set, where the border of a (labelled) tree is the word consisting of its leaf ...
Bruno Courcelle, Denis Lapoire
DAM
2007
107views more  DAM 2007»
13 years 9 months ago
Eliminating graphs by means of parallel knock-out schemes
In 1997 Lampert and Slater introduced parallel knock-out schemes, an iterative process on graphs that goes through several rounds. In each round of this process, every vertex elim...
Hajo Broersma, Fedor V. Fomin, Rastislav Kralovic,...
WOLLIC
2007
Springer
14 years 3 months ago
Hydra Games and Tree Ordinals
Hydra games were introduced by Kirby and Paris, for the formulation of a result which is independent from Peano arithmetic but depends on the transfinite structure of 0. Tree ordi...
Ariya Isihara
CAV
2006
Springer
129views Hardware» more  CAV 2006»
14 years 28 days ago
Languages of Nested Trees
We study languages of nested trees--structures obtained by augmenting trees with sets of nested jump-edges. These graphs can naturally model branching behaviors of pushdown program...
Rajeev Alur, Swarat Chaudhuri, P. Madhusudan