Laplacian Integral of Particular Steiner System
DOI:
https://doi.org/10.21512/emacsjournal.v3i1.6883Keywords:
graph, hypergraph, Laplacian integral, projective plane.Abstract
The notion of a hypergraph is motivated by a graph. In graph, every edge contains of two vertices. However, a hypergraph edges contains more than two vertices. In this article use hyperedge to mention edge of hypergraph. A finite projective plane of order n, denoted by , is a linear intersecting hypergraph. In this research finite projective plane order is Laplacian integral.
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References
Bretto, A. (2013). Hypergraph theory: An introduction. Mathematical Engineering. Cham:
Springer.
Ballico, E., Favacchio, G., Guardo, E., & Milazzo, L. (2020). Steiner systems and
configurations of points. Designs, Codes and Cryptography, 1-21.
Braun, M.,Etzion, T., Ostergard,.P., Vardy, A., and Wassermann,A. (2016). Existence of
q – analogs of Steiner system . Forum of Mathematics , Pi, 4, E7. doi : 10.1017/fmp.2016.5
Chee, Y. M., Colbourn, C. J., Dau, H., Gabrys, R., Ling, A. C., Lusi, D., & Milenkovic, O.
(2020). Access balancing in storage systems by labeling partial Steiner systems. Designs, Codes and Cryptography, 88(11), 2361-2376.
Fallat, S.M., Kirkland, S.J., Molitierno, J.J. and Neumann, M., 2005. On graphs whose
Laplacian matrices have distinct integer eigenvalues. Journal of Graph Theory, 50(2),
pp.162-174.
Li, S., Kang, L., Shan, E., & Dong, Y. (2018). The finite projective plane and the 5-
Uniform linear intersecting hypergraphs with domination number four. Graphs and
Combinatorics, 34(5), 931-945.
Rodriguez, J. A. (2003). On the Laplacian spectrum and walk-regular hypergraphs. Linear
and Multilinear Algebra, 51(3), 285-297.
Zakiyyah, A.Y., Garminia, H., Salman, A.N.M. On the characterization of Laplacian integral complete tripartite hypergraphs Far East Journal of Mathematical Sciences
(9), 2133-2142 | vol: | issue : | 2017
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