Research Article
Year 2023,
Issue: 52, 289 - 293, 15.12.2023
Abstract
In this paper, we study Laplacian spectrum of Desargues and Pappus configurations and present some basic spectral properties of these hypergraphs.
References
- 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.
- Molitierno, J.J., Fallat, M.S., Kirkland, S. & Neumann, M. (2005). On graphs whose Laplacian matrices have distinct integer eigenvalues. Journal of Graph Theory, 50(2), 162-174.
- Naik, N.R., Rao, S.B., Shrikhande S.S. & Singhi N.M. (1982). Intersection graphs of k-uniform linear hypergraphs. European Journal of Combinatorics, (3), 159–172.
- Ouvrard, X. (2020). Hypergraphs: an introduction and review. (arXiv:2002.05014). arXiv. https://doi.org/10.48550/arXiv.2002.05014
- Paige, L. & Wexler, C. (1953). A canonical form for incidence matrices of finite projective planes and their associated latin squares. Portugaliae Mathematica, 12(3), 105–112.
- Zakiyyah, A.Y. (2021). Laplacian integral of particular Steiner system. Engineering, Mathematics and Computer Science Journal, 3(1), 31–32.
Year 2023,
Issue: 52, 289 - 293, 15.12.2023
Abstract
Bu makalede, Desargues ve Pappus konfigurasyonlarının Laplasyan spektrumlarını inceliyor ve bu hipergrafların bazı temel spektrum özelliklerini sunuyoruz.
References
- 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.
- Molitierno, J.J., Fallat, M.S., Kirkland, S. & Neumann, M. (2005). On graphs whose Laplacian matrices have distinct integer eigenvalues. Journal of Graph Theory, 50(2), 162-174.
- Naik, N.R., Rao, S.B., Shrikhande S.S. & Singhi N.M. (1982). Intersection graphs of k-uniform linear hypergraphs. European Journal of Combinatorics, (3), 159–172.
- Ouvrard, X. (2020). Hypergraphs: an introduction and review. (arXiv:2002.05014). arXiv. https://doi.org/10.48550/arXiv.2002.05014
- Paige, L. & Wexler, C. (1953). A canonical form for incidence matrices of finite projective planes and their associated latin squares. Portugaliae Mathematica, 12(3), 105–112.
- Zakiyyah, A.Y. (2021). Laplacian integral of particular Steiner system. Engineering, Mathematics and Computer Science Journal, 3(1), 31–32.
There are 13 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Algebraic and Differential Geometry |
| Journal Section | Articles |
| Authors | |
| Early Pub Date | December 29, 2023 |
| Publication Date | December 15, 2023 |
| Submission Date | October 13, 2023 |
| Acceptance Date | December 14, 2023 |
| Published in Issue | Year 2023 Issue: 52 |
