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math.CO2026
An Iwasawa-type asymptotic formula for multiple -coverings of graphs
Takenori Kataoka
For a possibly ramified -covering of connected graphs, we establish an Iwasawa-type asymptotic formula for the growth of the -adic valuations of the complexities…
math.CO2026
Construction of graph coverings with prescribed Iwasawa invariants
Takenori Kataoka
For a -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 - and $…