- Tytuł:
- Non-factorizable c-valued functions induced by finite connected graphs
- Autorzy:
- Cho, I.
- Powiązania:
- https://bibliotekanauki.pl/articles/255928.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
directed graphs
graph groupoids
Redei zeta functions
graph zeta functions
non-factorizable graphs
gluing on graphs - Opis:
- In this paper, we study factorizability of C-valued formal series at fixed vertices, called the graph zeta functions, induced by the reduced length on the graph groupoids of given finite connected directed graphs. The construction of such functions is motivated by that of Redei zeta functions. In particular, we are interested in (i) “non-factorizability” of such functions, and (ii) certain factorizable functions induced by non-factorizable functions. By constructing factorizable functions from our non-factorizable functions, we study relations between graph zeta functions and well-known number-theoretic objects, the Riemann zeta function and the Euler totient function.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 2; 225-263
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł