References
- Ihara Y. On discrete subgroups of the two by two projective linear group over p-adic fields. J. Math. Soc. Japan. 1966;18:219–235.
- Sunada T. L-functions in geometry and some applications. Vol. 1201, Lecture notes in mathematics. New York (NY): Springer-Verlag; 1986. p. 266–284.
- Sunada T. Fundamental groups and Laplacians (in Japanese). Tokyo: Kinokuniya; 1988.
- Hashimoto K. Zeta functions of finite graphs and representations of p-adic groups. Vol. 15, Advanced studies in pure mathematics. New York (NY): Academic Press; 1989. p. 211–280.
- Bass H. The Ihara-Selberg zeta function of a tree lattice. Int. J. Math. 1992;3:717–797.
- Stark HM, Terras AA. Zeta functions of finite graphs and coverings. Adv. Math. 1996;121:124–165.
- Foata D, Zeilberger D. A combinatorial proof of Bass’s evaluations of the Ihara-Selberg zeta function for graphs. Trans. Am. Math. Soc. 1999;351:2257–2274.
- Kotani M, Sunada T. Zeta functions of finite graphs. J. Math. Sci. Univ. Tokyo. 2000;7:7–25.
- Bartholdi L. Counting paths in graphs. Enseign. Math. 1999;45:83–131.
- Sato I. A generalized Bartholdi zeta function for a hypergraph. Far East J. Math. Sci. 2013;78:93–130.
- Lothaire M. Combinatorics on words. Reading (MA): Addison-Wesley; 1983.
- Amitsur SA. On the characteristic polynomial of a sum of matrices. Linear Multilinear Algebra. 1980;9:177–182.
- Serre J-P. Linear representations of finite group. New York (NY): Springer-Verlag; 1977.
- Sato I, Saito S. A generalized Bartholdi zeta function for a regular covering of a bipartite graph. Linear Algebra Appl. 2013;438:1025–1056.
- Mizuno H, Sato I. Bartholdi zeta functions of graph coverings. J. Combin. Theory Ser. B. 2003;89:27–41.
- Mizuno H, Sato I. Zeta functions of graph coverings. J. Combin. Theory Ser. B. 2000;80:247–257.
- Stark HM, Terras AA. Zeta functions of finite graphs and coverings, part II. Adv. Math. 2000;154:132–195.
- Watanabe Y, Fukumizu K. Graph zeta function in the Bethe free energy and loopy belief propagation. Vol. 22, Advances in neural information processing systems. Cambridge (MA): MIT Press; 2010. p. 2017–2025.
- Gross JL, Tucker TW. Topological graph theory. New York (NY): Wiley-Interscience; 1987.