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Signed Langford sequences |
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| Institution: | 1. Mathematical Reviews, American Mathematical Society, Ann Arbor, MI 48103, USA;2. Department of Mathematics & Statistics, University of South Florida, St. Petersburg, FL 33701, USA |
| Abstract: | We answer a question of Brown and Jordon (2021) 4] by proving the existence of signed Langford sequences of every possible order for each defect. Our proof is constructive, and the constructions are shown to have other interesting properties and connections to several conjectures concerning permutations and partial sums of sequences of elements from cyclic groups. |
| Keywords: | Skolem sequences Langford sequences Generalizations of Langford sequences Sequenceable groups Sequenceable subsets Partial sums in cyclic groups |
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