The λ -fold Spectrum Problem for the Orientations of the 6-Cycle

The λ-fold complete symmetric directed graph of order v, denoted λKv*, is the directed graph on v vertices and λ directed edges in each direction between each pair of vertices. For a given directed graph D, the set of all v for which λKv* admits a D-decomposition is called the λ-fold spectrum of D. In this paper, we settle the λ-fold spectrum of each of the nine non-isomorphic orientations of a 6-cycle.

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Publication Details

Journal
Journal of Combinatorial Mathematics and Combinatorial Computing
Published
2024-09-30
DOI
https://doi.org/10.61091/jcmcc122-30
Citations
1
Primary Topic
Astronomy and Astrophysical Research
Type
article
Field-Weighted Citation Impact
0.51
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article

The λ -fold Spectrum Problem for the Orientations of the 6-Cycle

Peter D. Adams, Uğur Odabaşı, Ryan C. Bunge, Saad I. El‐Zanati et al.
1 citations
Journal of Combinatorial Mathematics and Combinatorial Computing
Astronomy and Astrophysical Research
0.51
article

The λ -fold Spectrum Problem for the Orientations of the 6-Cycle

Peter D. Adams, Uğur Odabaşı, Ryan C. Bunge, Saad I. El‐Zanati, Jordan Dulowski, Kaitlyn Zale, Maddillon Kenney
article en
1 citations

Abstract

The λ-fold complete symmetric directed graph of order v, denoted λKv*, is the directed graph on v vertices and λ directed edges in each direction between each pair of vertices. For a given directed graph D, the set of all v for which λKv* admits a D-decomposition is called the λ-fold spectrum of D. In this paper, we settle the λ-fold spectrum of each of the nine non-isomorphic orientations of a 6-cycle.

Journal of Combinatorial Mathematics and Combinatorial ComputingVol. 122(1)
Openalex Percentile: Top 26%
Astronomy and Astrophysical Research
0.51
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