Hypergraph coverings and their zeta functions
The electronic journal of combinatorics, Tome 25 (2018) no. 4
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Let $H$ be a finite hypergraph. The concept of hypergraph coverings over $H$ is introduced, and we can generate all hypergraph coverings by permutation voltage assignments of the edge-colored graph or the incidence graph of $H$. Consequently, we show two explicit decomposition formulae for the zeta function of any hypergraph covering $\overline{H}$ over $H$ which indicates that the zeta function of $H$ divides the zeta function of $\overline{H}$.
DOI : 10.37236/7764
Classification : 05C65, 05C25, 05C50, 05C70
Mots-clés : hypergraph covering, permutation voltage assignment, zeta function
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     author = {Deqiong Li and Yaoping Hou},
     title = {Hypergraph coverings and their zeta functions},
     journal = {The electronic journal of combinatorics},
     year = {2018},
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     number = {4},
     doi = {10.37236/7764},
     zbl = {1409.05144},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/7764/}
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Deqiong Li; Yaoping Hou. Hypergraph coverings and their zeta functions. The electronic journal of combinatorics, Tome 25 (2018) no. 4. doi: 10.37236/7764

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