Opuscula Math. 30, no. 1 (2010), 61-67

Opuscula Mathematica

2-splittable and cordial graphs

Sylwia Cichacz

Abstract. E. Miller and G. E. Stevens proved in [E. Miller, G. E. Stevens, Some graphs for which even size is sufficient for splittability, Congressus Numerantium 173 (2005), 137–147] the existence of certain families of \(2\)-splittable caterpillars. In this paper we characterize other families of \(2\)-splittable caterpillars. Moreover, we show that for some of them there exists a friendly labeling inducing two isomorphic subgraphs.

Keywords: cordial graphs, \(2\)-splittable graphs.

Mathematics Subject Classification: 05C78.

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  • Sylwia Cichacz
  • AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland
  • University of Minnesota Duluth, Duluth, MN 55812-3000 U.S.A.
  • Received: 2009-06-27.
  • Revised: 2009-09-07.
  • Accepted: 2009-09-11.
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Cite this article as:
Sylwia Cichacz, 2-splittable and cordial graphs, Opuscula Math. 30, no. 1 (2010), 61-67, http://dx.doi.org/10.7494/OpMath.2010.30.1.61

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