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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…
A Generalized Grover/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
We introduce a generalized Grover matrix of a graph and present an explicit formula for its characteristic polynomial. As a corollary, we give the spectra for the generalized Grove…
On the average hitting times of the squares of cycles
Yoshiaki Doi, Norio Konno, Tomoki Nakamigawa +6
The exact formula for the average hitting time (HT, as an abbreviation) of simple random walks from one vertex to any other vertex on the square of an -vertex cycle grap…