### Abstract

We prove the following conjecture of Erdös and Hajnal: For any fixed positive integer t and for any 2‐coloring of the edges of k_{n}, there exists X ⊂ v(K_{N}) such that |≦| and X monochromatically dominates all but at most n/2^{t} vertices of K_{n}. In fact, X can be constructed by a fast greedy algorithm.

Original language | English |
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Pages (from-to) | 713-718 |

Number of pages | 6 |

Journal | Journal of Graph Theory |

Volume | 13 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1989 |

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### ASJC Scopus subject areas

- Geometry and Topology

### Cite this

*Journal of Graph Theory*,

*13*(6), 713-718. https://doi.org/10.1002/jgt.3190130607

**Domination in colored complete graphs.** / Erdős, P.; Faudree, R.; Gyárfás, A.; Schelp, R. H.

Research output: Contribution to journal › Article

*Journal of Graph Theory*, vol. 13, no. 6, pp. 713-718. https://doi.org/10.1002/jgt.3190130607

}

TY - JOUR

T1 - Domination in colored complete graphs

AU - Erdős, P.

AU - Faudree, R.

AU - Gyárfás, A.

AU - Schelp, R. H.

PY - 1989

Y1 - 1989

N2 - We prove the following conjecture of Erdös and Hajnal: For any fixed positive integer t and for any 2‐coloring of the edges of kn, there exists X ⊂ v(KN) such that |≦| and X monochromatically dominates all but at most n/2t vertices of Kn. In fact, X can be constructed by a fast greedy algorithm.

AB - We prove the following conjecture of Erdös and Hajnal: For any fixed positive integer t and for any 2‐coloring of the edges of kn, there exists X ⊂ v(KN) such that |≦| and X monochromatically dominates all but at most n/2t vertices of Kn. In fact, X can be constructed by a fast greedy algorithm.

UR - http://www.scopus.com/inward/record.url?scp=84986534189&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84986534189&partnerID=8YFLogxK

U2 - 10.1002/jgt.3190130607

DO - 10.1002/jgt.3190130607

M3 - Article

VL - 13

SP - 713

EP - 718

JO - Journal of Graph Theory

JF - Journal of Graph Theory

SN - 0364-9024

IS - 6

ER -