Lifting graph automorphisms by voltage assignments
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Publication:1587915
DOI10.1006/eujc.2000.0390zbMath0966.05042OpenAlexW2068845873MaRDI QIDQ1587915
Aleksander Malnič, Roman Nedela, Martin Škoviera
Publication date: 3 December 2000
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/19420acd50a8bea9ffa0921ad138d8e63c68298d
fundamental groupoidregular maps on surfacescovering projectionautomorphism lifting problemvoltage space
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Covers of simplicial complexes and applications to geometry
- Imprimitive representations of \(SL(2,2^ k)\)
- A contribution to the theory of voltage graphs
- Isomorphisms and automorphisms of graph coverings
- Counting some finite-fold coverings of a graph
- The topological theory of current graphs
- Generating all graph coverings by permutation voltage assignments
- Regular maps from voltage assignments and exponent groups
- Group actions, coverings and lifts of automorphisms
- Automorphism groups of covering graphs
- Automorphisms of graphs and coverings
- On \(2\)-arc-transitive covers of complete graphs
- Lifting map automorphisms and MacBeath's theorem
- Voltage graphs
- Regular embeddings of canonical double coverings of graphs
- Constructing infinite one-regular graphs
- Homological Coverings of Graphs
- Theory of Maps on Orientable Surfaces
- Exponents of Orientable Maps
- Isomorphism Classes of Graph Bundles
- A Geometrical Approach to Imprimitive Graphs
- On a Theorem of Hurwitz
- A new 5‐arc‐transitive cubic graph
- Lifting and projecting homeomorphisms
- Lifting and projecting homeomorphisms