3 papers
math.CO2018
A generalized Bartholdi zeta function formula for simple graphs with bounded degree
Taichi Kousaka
We introduce a generalized Bartholdi zeta function for simple graphs with bounded degree. This zeta function is a generalization of both the Bartholdi zeta function which was intro…
math.CO2017
A generalized Ihara zeta function formula for simple graphs with bounded degree
Taichi Kousaka
We establish a generalized Ihara zeta function formula for simple graphs with bounded degree. This is a generalization of the formula obtained by G. Chinta, J. Jorgenson and A. Kar…
math.CO2017
On Highly-regular graphs
Taichi Kousaka
Highly-regular graphs can be regarded as a combinatorial generalization of distance-regular graphs. From this standpoint, we study combinatorial aspects of highly-regular graphs. A…