Embedding Cycles in Finite Planes

Document Type


Digital Object Identifier (DOI)


Journal Title

Electronic Journal of Combinatorics

Publication Date



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.


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