Colorings of periodic homeomorphisms

• Autorzy: Akaike Y. , Chinen N. , Tomoyasu K.
• Języki publikacji: EN

Abstrakty

EN

We calculate the exact value of the color number of a periodic homeomorphism without fixed points on a finite connected graph.

Słowa kluczowe

EN

coloring; periodic homeomorphism

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: Vol. 57, no 1
• Strony: 63--74
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Akaike Y.

autor

Chinen N.

autor

Tomoyasu K.

• Kure National College of Technology, 2-2-11 Aga-Minami Kure-shi, Hiroshima 737-8506, Japan,

Bibliografia

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• [3] A. Błaszczyk and K. D. Yong, A topological version of a combinatorial theorem of Katetov, Comment. Math. Univ. Carolin. 29 (1988), 657-663.
• [4] N. G. de Bruijn and P. Erdös, A colour problem for infinite graphs and a problem in the theory of relations, Nederl. Akad. Wetensch. Proc. Sect. A 54 (1951), 369-373.
• [5] E. K. van Douwen, βX and fixed-point free maps, Topology Appl. 51 (1993), 191-195.
• [6] M. A. van Hartskamp and J. Vermeer, On colorings of maps, Topology Appl. 73 (1996), 181-190.
• [7] M. Katetov, A theorem on mappings, Comment. Math. Univ. Carolin. 8 (1967), 431-433.
• [8] J. van Mill, Easier proofs of coloring theorems, Topology Appl. 97 (1999), 155-163.