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Journal of Combinatorial Designs
Article . 2024 . Peer-reviewed
License: Wiley Online Library User Agreement
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2024
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The Oberwolfach problem with loving couples

Authors: Gloria Rinaldi;

The Oberwolfach problem with loving couples

Abstract

AbstractWe generalize the well‐known Oberwolfach problem posed by Ringel in 1967. We suppose to have couples (here is an even integer) and suppose that they have to be seated for several nights at round tables in such a way that each person seats next to his partner exactly times and next to every other person exactly once. We call this problem the Oberwolfach problem with loving couples. When , the problem coincides with the so‐called spouse‐avoiding variant, which was introduced by Huang, Kotzig, and Rosa in 1979. While if either or equals the number of nights, it corresponds to the spouse‐loving variant or to the Honeymoon variant, which was recently studied by Bolohan et al. and by Lepine and Sajna, respectively. In this paper, for each possible choice of , we construct many classes of solutions to the Oberwolfach problem with loving couples. We also obtain new solutions to the Honeymoon variant.

Country
Italy
Keywords

2-factorization, Oberwolfach problem, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Graph designs and isomorphic decomposition, 2‐factorization, Oberwolfach problem, resolvable cycle decompositions, resolvable cycle decompositions, Other designs, configurations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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