14 citations · 89 across the 24 of their papers we have counts for
Showing math.COShow all
2 papers · 1 filter
math.CO2022
Enumeration of connected bipartite graphs with given Betti number
Taro Hasui, Tomoyuki Shirai, Satoshi Yabuoku
We obtain first order linear partial differential equations which are satisfied by exponential generating functions of two variables for the number of connected bipartite graphs wi…
math.CO2020
Zeta functions of periodic cubical lattices and cyclotomic-like polynomials
Yasuaki Hiraoka, Hiroyuki Ochiai, Tomoyuki Shirai
Zeta functions of periodic cubical lattices are explicitly derived by computing all the eigenvalues of the adjacency operators and their characteristic polynomials. We introduce cy…