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Best Monotone Degree Conditions for Graph Properties: A Survey

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Abstract

We survey sufficient degree conditions, for a variety of graph properties, that are best possible in the same sense that Chvátal’s well-known degree condition for hamiltonicity is best possible.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    D. Bauer & A. Nevo

  2. Faculty of EEMCS, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands

    H. J. Broersma

  3. Department of Mathematics, London School of Economics, Houghton Street, London, WC2A 2AE, UK

    J. van den Heuvel

  4. Department of Mathematics and Computer Science, Seton Hall University, South Orange, NJ, 07079, USA

    N. Kahl

  5. Department of Mathematics, San José State University, San Jose, CA, 95192, USA

    E. Schmeichel

  6. School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK

    D. R. Woodall

  7. Department of Mathematics, Penn State University, Brandywine Campus, Media, PA, 19063, USA

    M. Yatauro

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  1. D. Bauer
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  2. H. J. Broersma
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  4. N. Kahl
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  5. A. Nevo
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  6. E. Schmeichel
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  7. D. R. Woodall
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  8. M. Yatauro
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Correspondence to H. J. Broersma.

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Bauer, D., Broersma, H.J., van den Heuvel, J. et al. Best Monotone Degree Conditions for Graph Properties: A Survey. Graphs and Combinatorics 31, 1–22 (2015). https://doi.org/10.1007/s00373-014-1465-6

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  • DOI: https://doi.org/10.1007/s00373-014-1465-6

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