Central European Journal of Mathematics

, Volume 6, Issue 4, pp 543–558 | Cite as

Disjoint triangles and quadrilaterals in a graph

Research Article
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Abstract

Let n, s and t be three integers with s ≥ 1, t ≥ 0 and n = 3s + 4t. Let G be a graph of order n such that the minimum degree of G is at least (n + s)/2. Then G contains a 2-factor with s + t components such that s of them are triangles and t of them are quadrilaterals.

Keywords

cover cycle factor 

MSC

05C38 05C70 

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Copyright information

© © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.Department of MathematicsThe University of IdahoMoscowUSA

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