- Tytuł:
- The Crossing Number of The Hexagonal Graph H3,n
- Autorzy:
-
Wang, Jing
Ouyang, Zhangdong
Huang, Yuanqiu - Powiązania:
- https://bibliotekanauki.pl/articles/31343400.pdf
- Data publikacji:
- 2019-05-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
hexagonal graph
Cartesian product
crossing number
drawing - Opis:
- In [C. Thomassen, Tilings of the torus and the Klein bottle and vertex-transitive graphs on a fixed surface, Trans. Amer. Math. Soc. 323 (1991) 605–635], Thomassen described completely all (except finitely many) regular tilings of the torus S1 and the Klein bottle N2 into (3,6)-tilings, (4,4)-tilings and (6,3)-tilings. Many authors made great efforts to investigate the crossing number (in the plane) of the Cartesian product of an m-cycle and an n-cycle, which is a special (4,4)-tiling. For other tilings, there are quite rare results concerning on their crossing numbers. This motivates us in the paper to determine the crossing number of a hexagonal graph H3,n, which is a special kind of (3,6)-tilings.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2019, 39, 2; 547-554
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł