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- W3206041057 abstract "Recently, Gnutzmann and Smilansky [5] presented a formula for the bond scattering matrix of a graph with respect to an Hermitian matrix. We present another proof for this formula by a technique use in the zeta function of a graph. Furthermore, we generalize Gnutzmann and Smilansky's formula to a regular covering of a graph. Finally, we define an L-function of a graph, and present a determinant expression. As a corollary, we express the generalization of Gnutzmann and Smilansky's formula to a regular covering of a graph by using its L-functions." @default.
- W3206041057 created "2021-10-25" @default.
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- W3206041057 date "2022-01-01" @default.
- W3206041057 modified "2023-10-03" @default.
- W3206041057 title "The scattering matrix with respect to an Hermitian matrix of a graph" @default.
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- W3206041057 doi "https://doi.org/10.1016/j.disc.2021.112674" @default.
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