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Coherent configuration on 3-uniform hypergraph over strongly regular graph

  • Fajri Maulana
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Abstract

This paper investigates coherent configurations on 3-uniform hypergraphs constructed from strongly regular graphs. We establish that the hypergraph preserves the automorphism group of the original graph and induces a nonhomogeneous Schurian coherent configuration. Using the case of Petersen graph, we obtain a configuration with two fibers and thirteen basic relations. We further determine their valencies and nonzero intersection numbers, together with the corresponding adjacency matrix multiplication identities.

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Cite

BibTeXRIS
BibTeX
@misc{maulana2026coherent,
  title = {{Coherent configuration on 3-uniform hypergraph over strongly regular graph}},
  author = {Fajri Maulana},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05980},
  eprint = {2611.05980},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05980},
}
RIS
TY  - UNPB
TI  - Coherent configuration on 3-uniform hypergraph over strongly regular graph
AU  - Fajri Maulana
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.05980
UR  - https://arxiv.org/abs/2611.05980
AB  - This paper investigates coherent configurations on 3-uniform hypergraphs constructed from strongly regular graphs. We establish that the hypergraph preserves the automorphism group of the original graph and induces a nonhomogeneous Schurian coherent configuration. Using the case of Petersen graph, we obtain a configuration with two fibers and thirteen basic relations. We further determine their valencies and nonzero intersection numbers, together with the corresponding adjacency matrix multiplication identities.
ER  -