Displaying similar documents to “Primitive spatial graphs and graph minors.”

Criticality of Switching Classes of Reversible 2-Structures Labeled by an Abelian Group

Houmem Belkhechine, Pierre Ille, Robert E. Woodrow (2017)

Discussiones Mathematicae Graph Theory

Similarity:

Let V be a finite vertex set and let (, +) be a finite abelian group. An -labeled and reversible 2-structure defined on V is a function g : (V × V) (v, v) : v ∈ V → such that for distinct u, v ∈ V, g(u, v) = −g(v, u). The set of -labeled and reversible 2-structures defined on V is denoted by ℒ(V, ). Given g ∈ ℒ(V, ), a subset X of V is a clan of g if for any x, y ∈ X and v ∈ V X, g(x, v) = g(y, v). For example, ∅, V and v (for v ∈ V) are clans of g, called trivial. An element g of...

A graph approach to computing nondeterminacy in substitutional dynamical systems

Toke M. Carlsen, Søren Eilers (2007)

RAIRO - Theoretical Informatics and Applications

Similarity:

We present an algorithm which for any aperiodic and primitive substitution outputs a finite representation of each special word in the shift space associated to that substitution, and determines when such representations are equivalent under orbit and shift tail equivalence. The algorithm has been implemented and applied in the study of certain new invariants for flow equivalence of substitutional dynamical systems.