Geodesic
Bartholdi zeta functions for hypergraphs
The electronic journal of combinatorics, Tome 14 (2007)

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl EuDML
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 
Iwao SATO. Bartholdi zeta functions for hypergraphs. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/1003
@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/}
}
TY  - JOUR
AU  - Iwao SATO
TI  - Bartholdi zeta functions for hypergraphs
JO  - The electronic journal of combinatorics
PY  - 2007
VL  - 14
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1003/
DO  - 10.37236/1003
ID  - 10_37236_1003
ER  - 
%0 Journal Article
%A Iwao SATO
%T Bartholdi zeta functions for hypergraphs
%J The electronic journal of combinatorics
%D 2007
%V 14
%U http://geodesic.mathdoc.fr/articles/10.37236/1003/
%R 10.37236/1003
%F 10_37236_1003

Cité par Sources :