PreprintCC BY 4.0arXiv
On Intersection Hypergraph of Finite Non-Cyclic Abelian Groups
Abstract
In this paper, we study various structural properties like girth, chromatic num ber, etc. of the intersection hypergraph on the subgroups of nite non-cyclic abelian group and we characterize for the star and hypertree structures. Fur thermore, we characterize hypergraphs which are embeddable on plane, torus and projective plane.
Related
- Fourier Decomposition and E-Eigenvalues of Hypergraph Polynomials over Finite Abelian Groups
- Co-intersection graphs of nonabelian finite simple groups have diameter two
- Finite abelian subgroups of algebraic groups
- Finite abelian groups are Schur multipliers of finite solvable groups
- Finite index rigidity of free-by-cyclic groups
BibTeX
@misc{ardra2026intersection,
title = {{On Intersection Hypergraph of Finite Non-Cyclic Abelian Groups}},
author = {A N Ardra and S Ballal},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.16941},
eprint = {2610.16941},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.16941},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On Intersection Hypergraph of Finite Non-Cyclic Abelian Groups
AU - A N Ardra
AU - S Ballal
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.16941
UR - https://arxiv.org/abs/2610.16941
AB - In this paper, we study various structural properties like girth, chromatic num ber, etc. of the intersection hypergraph on the subgroups of nite non-cyclic abelian group and we characterize for the star and hypertree structures. Fur thermore, we characterize hypergraphs which are embeddable on plane, torus and projective plane.
ER -