Regular Turán numbers and some Gan–Loh–Sudakov-type problems

Open Access
Authors
  • S. Cambie
  • R. de Joannis de Verclos
  • R.J. Kang
Publication date 01-2023
Journal Journal of Graph Theory
Volume | Issue number 102 | 1
Pages (from-to) 67-85
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Motivated by a Gan–Loh–Sudakov-type problem, we introduce the regular Turán numbers, a natural variation on the classical Turán numbers where we restrict ourselves to the class of regular graphs. Among other results, we prove a striking supersaturation version of Mantel's theorem in the case of a regular host graph of odd order. We also characterize the graphs for which the regular Turán numbers behave classically or otherwise.
Document type Article
Language English
Published at https://doi.org/10.1002/jgt.22857
Other links https://www.scopus.com/pages/publications/85135040920
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