Half-arc-transitive graphs and the fano plane
Abstract
Given a bipartite cubic graph with a certain degree of symmetry two covering constructions that
provide infinitely many tetravalent graphs admitting half-arc-transitive groups of automorphisms
are introduced. Symmetry properties of constructed graphs are investigated. In the second part
of the paper the two constructions are applied to the Heawood graph, the well-known incidence
graph of the Fano plane.
Keywords
half-arc-transitive;fano plane;Heawood graph;construction;
Data
| Language: | English |
|---|---|
| Year of publishing: | 2021 |
| Typology: | 1.01 - Original Scientific Article |
| Organization: | UL PEF - Faculty of Education |
| Publisher: | Tokyo: Springer Japan |
| UDC: | 519.17 |
| COBISS: |
67311619
|
| ISSN: | 1435-5914 |
| Views: | 184 |
| Downloads: | 9 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | English |
|---|---|
| Secondary keywords: | mathematics;matematika; |
| File type: | application/pdf |
| Type (COBISS): | Article |
| Embargo end date (OpenAIRE): | 2022-07-19 |
| Pages: | str. 987-1012 |
| Volume: | ǂVol. ǂ37 |
| Issue: | ǂissue ǂ3 |
| Chronology: | 2021 |
| DOI: | 10.1007/s00373-021-02298-6 |
| ID: | 13153397 |
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