Abstract
In this paper, we introduce LR structures, a new and interesting form of symmetry in graphs. LR structures are motivated by the search for semisymmetric graphs of degree 4. We show that all semisymmetric graphs of girth and degree 4 can be constructed in a simple way from LR structures. We then show several ways in which LR structures can be constructed or found.
Original language | English (US) |
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Pages (from-to) | 341-352 |
Number of pages | 12 |
Journal | Ars Mathematica Contemporanea |
Volume | 7 |
Issue number | 2 |
DOIs | |
State | Published - 2014 |
Keywords
- Automorphism group
- Cycle structure
- Graph
- Linking rings structure
- Locally arc-transitive graph
- Semisymmetric graph
- Symmetry
ASJC Scopus subject areas
- Theoretical Computer Science
- Algebra and Number Theory
- Geometry and Topology
- Discrete Mathematics and Combinatorics