Embedding Cycles in Finite Planes
Document Type
Article
Digital Object Identifier (DOI)
10.37236/3377
Journal Title
Electronic Journal of Combinatorics
Publication Date
2013
Abstract
We define and study embeddings of cycles in finite affine and projective planes. We show that for all k, 3 ≤ k ≤ q2 , a k-cycle can be embedded in any affine plane of order q. We also prove a similar result for finite projective planes: for all k, 3 ≤ k ≤ q2 + q +1 , a k-cycle can be embedded in any projective plane of order q.
Publisher Statement
E-JC is free for both authors and readers. By making research freely available, E-JC supports a greater global exchange of knowledge. https://www.combinatorics.org/ojs/index.php/eljc/about
Recommended Citation
Lazebnik, Felix, Keith E. Mellinger, and Oscar Vega. “Embedding Cycles in Finite Planes.” The Electronic Journal of Combinatorics 20, no. 3 (2013): 1–17. https://doi.org/10.37236/3377.
Comments
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