Lifting Graph Automorphisms by Voltage Assignments
Copyright policy )Lifting Graph Automorphisms by Voltage Assignments
The authors provide the first systematic combinatorial treatment of the automorphism lifting problem in the context of graphs. They make consistent use of several new fundamental concepts: the action of the fundamental groupoid, the notion of a voltage space, various kinds of invariance of voltage spaces, and the geometry of the lifted actions by means of transversals over a localization set. Some applications of these results to regular maps on surfaces are given.
- University of Ljubljana Slovenia
- Matej Bel University Slovakia
- Comenius University Slovakia
automorphism lifting problem, fundamental groupoid, Computational Theory and Mathematics, voltage space, covering projection, Geometry and Topology, regular maps on surfaces, Graphs and abstract algebra (groups, rings, fields, etc.), Theoretical Computer Science
automorphism lifting problem, fundamental groupoid, Computational Theory and Mathematics, voltage space, covering projection, Geometry and Topology, regular maps on surfaces, Graphs and abstract algebra (groups, rings, fields, etc.), Theoretical Computer Science
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