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math.CT2014
On computation of the first Baues--Wirsching cohomology of a freely-generated small category
Yasuhiro Momose, Yasuhide Numata
The Baues--Wirsching cohomology is one of the cohomologies of a small category. Our aim is to describe the first Baues--Wirsching cohomology of the small category generated by a fi…
math.CO2014
On graphs whose Hosoya indices are primitive Pythagorean triples
Tomoe Kadoi, Yasuhide Numata
We discuss families of triples of graphs whose Hosoya indices are primitive Pythagorean triples. Hosoya gave a method to construct such families of caterpillars, i.e., trees whose…