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CPC
2006
110views more  CPC 2006»
13 years 7 months ago
Bootstrap Percolation on Infinite Trees and Non-Amenable Groups
Abstract. Bootstrap percolation on an arbitrary graph has a random initial configuration, where each vertex is occupied with probability p, independently of each other, and a deter...
József Balogh, Yuval Peres, Gábor Pe...
MST
2006
129views more  MST 2006»
13 years 7 months ago
Reachability Problems on Regular Ground Tree Rewriting Graphs
We consider the transition graphs of regular ground tree (or term) rewriting systems. The vertex set of such a graph is a (possibly infinite) set of trees. Thus, with a finite tree...
Christof Löding
JSYML
2010
95views more  JSYML 2010»
13 years 2 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey
NJC
2000
99views more  NJC 2000»
13 years 7 months ago
An Incremental Unique Representation for Regular Trees
In order to deal with infinite regular trees (or other pointed graph structures) efficiently, we give new algorithms to store such structures. The trees are stored in such a way th...
Laurent Mauborgne
TPLP
2008
89views more  TPLP 2008»
13 years 7 months ago
Theory of finite or infinite trees revisited
We present in this paper a first-order axiomatization of an extended theory T of finite or infinite trees, built on a signature containing an infinite set of function symbols and ...
Khalil Djelloul, Thi-Bich-Hanh Dao, Thom W. Fr&uum...