Geodesic
Bartholdi zeta functions for hypergraphs
The electronic journal of combinatorics, Tome 14 (2007)
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Recently, Storm defined the Ihara-Selberg zeta function of a hypergraph, and gave two determinant expressions of it. We define the Bartholdi zeta function of a hypergraph, and present a determinant expression of it. Furthermore, we give a determinant expression for the Bartholdi zeta function of semiregular bipartite graph. As a corollary, we obtain a decomposition formula for the Bartholdi zeta function of some regular hypergraph.
DOI : 10.37236/1003
Classification : 05C65, 11M41
Mots-clés : Ihara-Selberg zeta function 
@article{10_37236_1003,
     author = {Iwao SATO},
     title = {Bartholdi zeta functions for hypergraphs},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/1003},
     zbl = {1113.05071},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1003/}
}
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Iwao SATO. Bartholdi zeta functions for hypergraphs. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/1003

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