7 papers
Graphs of group actions and group actions on trees
Florian Lehner, Christian Lindorfer, Rögnvaldur G. Möller +1
Bass-Serre theory provides a powerful framework for studying group actions on trees. While extremely effective for structural questions in group theory, it is less suited to the sy…
Self-avoiding walk is ballistic on graphs with more than one end
Florian Lehner, Christian Lindorfer, Christoforos Panagiotis
We prove that on any transitive graph with infinitely many ends, a self-avoiding walk of length is ballistic with extremely high probability, in the sense that there exist…
Folding polyominoes into cubes
Oswin Aichholzer, Florian Lehner, Christian Lindorfer
Which polyominoes can be folded into a cube, using only creases along edges of the square lattice underlying the polyomino, with fold angles of and ,…
Self-avoiding walks and multiple context-free languages
Florian Lehner, Christian Lindorfer
Let be a quasi-transitive, locally finite, connected graph rooted at a vertex , and let be the number of self-avoiding walks of length on starting at . W…
Comparing consecutive letter counts in multiple context-free languages
Florian Lehner, Christian Lindorfer
Context-free grammars are not able to model cross-serial dependencies in natural languages. To overcome this issue, Seki et al. introduced a generalization called -multiple cont…
The language of self-avoiding walks
Christian Lindorfer, Wolfgang Woess
Let be an infinite, locally finite, connected graph without loops or multiple edges. We consider the edges to be oriented, and is equipped with an involution…
A general bridge theorem for self-avoiding walks
Christian Lindorfer
Let be an infinite, locally finite, connected, quasi-transitive graph without loops or multiple edges. A graph height function on is a map adapted to the graph structure, a…