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On Laplacian Spectrum of Desargues and Pappus Configurations
Abstract
In this paper, we study Laplacian spectrum of Desargues and Pappus configurations and present some basic spectral properties of these hypergraphs.
Keywords
Kaynakça
- Akça, Z., Günaltılı, I. & Özgür G. (2006 ). On the Fano subplanes of the left semifield plane of order 9. Hacettepe Journal of Mathematics and Statistics, 35(1), 55–61.
- Ballico, E., Favacchio, G., Guardo, E. & Milazzo, L.(2020). Steiner systems and configurations of points. Designs, Codes and Cryptography, 89, 199–219.
- Berge, C. (1970). Graphes et hypergraphes. Dunod, Paris.
- Berge, C. (1973). Graphs and hypergraphs. North-Holland publishing company Amsterdam, 7.
- Braun, M., Etzion, T., Ostergard,.P., Vardy, A. & Wassermann, A. (2016). Existence of q – analogs of Steiner system. Forum of Mathematics, Pi, 4. doi:10.1017/fmp.2016.5
- Bretto, A. (2013). Hypergraph theory: An introduction. Mathematical Engineering, Springer.
- Fallat, S.M., Kirkland, S.J., Molitierno, J.J. & Neumann, M. (2005). On graphs whose Laplacian matrices have distinct integer eigenvalues. Journal of Graph Theory, 50(2), 162–174.
- Grünbaum, B. (2009). Configurations of the Points and Lines, Graduate Studies in Mathematics, American Mathematical Soc., 103.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Cebirsel ve Diferansiyel Geometri
Bölüm
Araştırma Makalesi
Erken Görünüm Tarihi
29 Aralık 2023
Yayımlanma Tarihi
15 Aralık 2023
Gönderilme Tarihi
13 Ekim 2023
Kabul Tarihi
14 Aralık 2023
Yayımlandığı Sayı
Yıl 2023 Sayı: 52