Uniformly resolvable $(C_4, K_{1,3})$-designs of order v and

Authors

  • Mario Gionfriddo
  • Selda Kucukcifci Koc University Mathematics Department
  • Salvatore Milici
  • E Sule Yazici

DOI:

https://doi.org/10.11575/cdm.v13i1.62548

Keywords:

Design Theory, Resolvable graph decomposition, Uniform resolutions,

Abstract

In this paper we consider the uniformly resolvable decompositions of the complete graph $\lambda K_v$ into subgraphs where each resolution class contains only blocks isomorphic to the same graph. We consider the cases in which all the resolution classes are either $C_4$ or $K_{1,3}$. We prove that this type of system does not exist for $\lambda$ odd and determine completely the spectrum for $\lambda=2$.

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Author Biography

Selda Kucukcifci, Koc University Mathematics Department

Department of Mathematics, Koc University

References

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Published

2018-01-29

Issue

Vol. 13 No. 1 (2018)

Section

Articles

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