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arXiv · 2510.18048

Sunlet factors for Cartesian products of cycles

Henry Jervis·Paul C. Kainen
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Abstract

A sunlet is a cycle with a pendant edge attached at each vertex of the cycle. For the bipartite toroidal grid graphs $C_{2n} \Box C_{2n}$, factorizations into sunlets are given by homomorphisms from disjoint unions of $s$ copies of a sunlet for $s \in \{1, n, n^2\}, n \geq 3$ such that edges are mapped bijectively.

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Henry Jervis, Paul C. Kainen. 2025-10-20. Sunlet factors for Cartesian products of cycles. https://arxiv.org/abs/2510.18048

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