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A contraction theorem for abstract graphs. (English) Zbl 0107.17301


Keywords:

topology
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References:

[1] Wagner, K.: Über eine Eigenschaft der ebenen Komplexe. Math. Ann.114, 570-590 (1937), footnote 14. · JFM 63.0550.01 · doi:10.1007/BF01594196
[2] Wagner, K.: Bemerkungen zu Hadwigers Vermutung. Math. Ann.141, 433-451 (1960), p. 451. · Zbl 0096.17904 · doi:10.1007/BF01360256
[3] Dirac, G. A.: In abstrakten Graphen vorhandene vollständige 4-Graphen und ihre Unterteilungen. Math. Nachr.22, 61-85 (1961), Satz 8. · Zbl 0096.17903 · doi:10.1002/mana.19600220107
[4] de Bruijn, N. G., andP. Erdös: A colour problem for infinite graphs and a problem in the theory of relations. Proc. K. Nederl. Akad. Wetensch. Amsterdam ser. A54, 371-373 (1951). · Zbl 0044.38203
[5] Dirac, G. A.: Trennende Knotenpunktmengen und Reduzibilität abstrakter Graphen mit Anwendung auf das Vierfarbenproblem. J. reine angew. Math.204, 116-131 (1960), Reduzierungssatz. · Zbl 0096.17901 · doi:10.1515/crll.1960.204.116
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