Nonexistence of universal graphs without some trees

Combinatorica volume 17, pages163–171(1997)Cite this article

Abstract

IfG is a finite tree with a unique vertex of largest, and ≥4 degree which is adjacent to a leaf then there is no universal countableG-free graph.

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Author information

Affiliations

  1. Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green St., 61801-2917, Urbana, IL, USA

    Z. Füredi

  2. Mathematical Institute of the Hungarian Academy of Sciences, P.O.Box 127, 1364, Budapest, Hungary

    Z. Füredi

  3. Department of Computer Science, Eötvös University, Múzeum krt. 6-8, 1088, Budapest, Hungary

    P. Komjáth

Authors
  1. Z. Füredi
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  2. P. Komjáth
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Additional information

Research partially supported by the Hungarian Science Research Grant OTKA No. 2117 and by the European Communities (Cooperation in Science and Technology with Central and Eastern European Countries) contract number ERBCIPACT930113.

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Füredi, Z., Komjáth, P. Nonexistence of universal graphs without some trees. Combinatorica 17, 163–171 (1997). https://doi.org/10.1007/BF01200905

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Mathematics Subject Classification (1991)

  • 05C10
  • 05C60
  • 05C05