Up to a double cover, every regular connected graph is isomorphic to a Schreier graph
@article{Leemann2020UpTA, title={Up to a double cover, every regular connected graph is isomorphic to a Schreier graph}, author={Paul-Henry Leemann}, journal={arXiv: Combinatorics}, year={2020} }
We prove that every connected locally finite regular graph has a double cover which is isomorphic to a Schreier graph.
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References
SHOWING 1-10 OF 13 REFERENCES
Presentations for vertex-transitive graphs
- MathematicsJournal of Algebraic Combinatorics
- 2021
We generalise the standard constructions of a Cayley graph in terms of a group presentation by allowing some vertices to obey different relators than others. The resulting notion of presentation…
Every connected regular graph of even degree is a Schreier coset graph
- Mathematics, Computer ScienceJ. Comb. Theory, Ser. B
- 1977
König's Duality Theorem for Infinite Bipartite Graphs
- Mathematics
- 1984
Dans tout graphe biparti il existe un couplage N et un recouvrement P tel que P consiste en un choix de 1 sommet a partir d'une arete dans N
Schreir graphs: Transitivity and coverings
- MathematicsInt. J. Algebra Comput.
- 2016
A characterization of isomorphisms between Schreier graphs in terms of the groups, subgroups and generating systems allows us to give a transitivity criterion for Schreiers graphs and shows that Tarski monsters satisfy a strong simplicity criterion.
Algebraic Graph Theory
- MathematicsGraduate texts in mathematics
- 2001
The Laplacian of a Graph and Cuts and Flows are compared to the Rank Polynomial.
Discrete groups, expanding graphs and invariant measures
- MathematicsProgress in mathematics
- 1994
The Banach-Ruziewicz Problem for n = 2, 3 Ramanujan Graphs is solved and the representation theory of PGL 2 is explained.
On a class of fixed-point-free graphs
- Mathematics
- 1958
A number of papers [1; 2; 3; 4] have dealt with the construction of nnite graphs X whose automorphism group G(X) is isomorphic to a given finite group G. Examination of the graphs constructed in…
of Group Actions on Rooted Trees
- Mathematics
- 2016
We prove a general result about the decomposition into ergodic components of group actions on boundaries of spherically homogeneous rooted trees. Namely, we identify the space of ergodic components…
On subgroups and Schreier graphs of finitely generated groups
- Art
- 2016
Le sujet de cette these est la theorie geometrique et combinatoire des groupes - le lien entre les proprietes des groupes et celles des objets geometriques sur lesquels ils agissent. Plus…