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The Maximum Number of Triangles in C2k+1-Free Graphs

Published online by Cambridge University Press:  02 February 2012

ERVIN GYŐRI  and
HAO LI
ERVIN GYŐRI
Affiliation:
Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest H-1364, PO box 127, Hungary (e-mail: ervin@renyi.hu)
HAO LI
Affiliation:
Laboratoire de Recherche en Informatique, UMR 8623, CNRS–Université de Paris-Sud, 91405 Orsay CEDEX, France and School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China (e-mail: li@lri.fr)
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Abstract

Upper and lower bounds are proved for the maximum number of triangles in C2k+1-free graphs. The bounds involve extremal numbers related to appropriate even cycles.

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Type
Paper
Information
Combinatorics, Probability and Computing , Volume 21 , Issue 1-2: Honouring the Memory of Richard H. Schelp , March 2012 , pp. 187 - 191
Copyright
Copyright © Cambridge University Press 2012

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