4 papers
Average hitting times and recurrence structures II: Cartesian products of powers of cycles and regular graphs
Tsuyoshi Miezaki, Shunya Tamura
In our previous work \cite{MiezakiTamura2026}, we clarified the second-order linear recurrence structures appearing in the average hitting times on the -th power graph o…
Average Hitting Times and Recurrence Structures I: Powers of Cycle Graphs
Tsuyoshi Miezaki, Shunya Tamura
We investigate the average hitting times of simple random walks on the -th power graph of the cycle graph . First, we show that the average hitting times are charac…
The Terwilliger algebra of digraphs I -- Hamming digraph
Tsuyoshi Miezaki, Hiroshi Suzuki, Keisuke Uchida
In the present paper, we define the Terwilliger algebra of digraphs. Then, we determine the irreducible modules of the Terwilliger algebra of a Hamming digraph . As is we…
The graph zeta functions with respect to the group matrix of a finite group
Tsuyoshi Miezaki, Iwao Sato
In this paper, we present formulas for the edge zeta function and the second weighted zeta function with respect to the group matrix of a finite abelian group . Furthermore, we…