Takenori Kataoka

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20242026

most citedKida's formula via Selmer complexes

1 citations · 1 across the 6 of their papers we have counts for

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math.CO2026

An Iwasawa-type asymptotic formula for multiple $Z_{p}$ -coverings of graphs

Takenori Kataoka

For a possibly ramified $Z_{p}^{d}$ -covering of connected graphs, we establish an Iwasawa-type asymptotic formula for the growth of the $p$ -adic valuations of the complexities…

math.CO2026

Construction of graph coverings with prescribed Iwasawa invariants

Takenori Kataoka

For a $Z_{p}$ -covering of connected graphs, an analogue of Iwasawa's class number formula describes the growth of the number of spanning trees in terms of Iwasawa $λ$ - and $…

math.CO2024

Kida's formula for graphs with ramifications

Takenori Kataoka

Recently Iwasawa theory for graphs is developing. A significant achievement includes an analogue of Iwasawa class number formula, which describes the asymptotic growth of the numbe…

An Iwasawa-type asymptotic formula for multiple Zp​-coverings of graphs

Construction of graph coverings with prescribed Iwasawa invariants

Kida's formula for graphs with ramifications

An Iwasawa-type asymptotic formula for multiple $Z_{p}$ -coverings of graphs