Characterization of generalised Petersen graphs that are Kronecker covers

MaRDI QIDQ6621236

Tomaž Pisanski, Matjaž Krnc

Publication date: 18 October 2024

Published in: Acta Mathematica Universitatis Comenianae. New Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Cites Work

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• Multiple Kronecker covering graphs
• The isomorphism classes of the generalized Petersen graphs
• The classification of Hamiltonian generalized Petersen graphs
• A note on the generalized Petersen graphs that are also Cayley graphs
• Isomorphism checking of \(I\)-graphs
• Kronecker covers, V-construction, unit-distance graphs and isometric point-circle configurations
• Enumeration of I-graphs: Burnside does it again
• Which generalized petersen graphs are cayley graphs?
• The clone cover
• On the Möbius Ladders
• A theorem on tait colorings with an application to the generalized Petersen graphs
• I-graphs and the corresponding configurations
• Self-dual configurations and regular graphs

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