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

Adams, Peter; Bunge, Ryan; Dulowski, Jordan; El-Zanati, Saad; Kenney, Maddillon; ODABAŞI, UĞUR; Zale, Kaitlyn

doi:10.61091/jcmcc122-30

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

Adams P., Bunge R. C., Dulowski J., El-Zanati S. I., Kenney M., ODABAŞI U., ...Daha Fazla

Journal of Combinatorial Mathematics and Combinatorial Computing, cilt.122, ss.361-370, 2024 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 122
Basım Tarihi: 2024
Doi Numarası: 10.61091/jcmcc122-30
Dergi Adı: Journal of Combinatorial Mathematics and Combinatorial Computing
Derginin Tarandığı İndeksler: Scopus, Compendex, zbMATH
Sayfa Sayıları: ss.361-370
Anahtar Kelimeler: Directed cycl, Directed graph, Spectrum problem
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

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.