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Mathematics > Combinatorics

arXiv:1411.7657 (math)
[Submitted on 27 Nov 2014 (v1), last revised 19 Nov 2015 (this version, v2)]

Title:Langford sequences and a product of digraphs

Authors:Susana-Clara López, Francesc-Antoni Muntaner-Batle
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Abstract:Skolem and Langford sequences and their many generalizations have applications in numerous areas. The $\otimes_h$-product is a generalization of the direct product of digraphs. In this paper we use the $\otimes_h$-product and super edge-magic digraphs to construct an exponential number of Langford sequences with certain order and defect. We also apply this procedure to extended Skolem sequences.
Comments: 10 pages, 6 figures, to appear in European Journal of Combinatorics
Subjects: Combinatorics (math.CO)
MSC classes: 05C78
Cite as: arXiv:1411.7657 [math.CO]
  (or arXiv:1411.7657v2 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.1411.7657
Related DOI: https://doi.org/10.1016/j.ejc.2015.11.004

Submission history

From: Susana-Clara López [view email]
[v1] Thu, 27 Nov 2014 17:27:18 UTC (340 KB)
[v2] Thu, 19 Nov 2015 10:13:02 UTC (247 KB)
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