### Abstract

We define graph representations modulo integers and prove that any finite graph has a representation modulo some integer. We use this to obtain a new, simpler proof of Lindner, E. Mendelsohn, N. Mendelsohn, and Wolk's result that any finite graph can be represented as an orthogonal latin square graph.

Original language | English |
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Pages (from-to) | 593-595 |

Number of pages | 3 |

Journal | Journal of Graph Theory |

Volume | 13 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1989 |

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### ASJC Scopus subject areas

- Geometry and Topology

### Cite this

*Journal of Graph Theory*,

*13*(5), 593-595. https://doi.org/10.1002/jgt.3190130509

**Representations of graphs and orthogonal latin square graphs.** / Erdős, P.; Evans, Anthony B.

Research output: Contribution to journal › Article

*Journal of Graph Theory*, vol. 13, no. 5, pp. 593-595. https://doi.org/10.1002/jgt.3190130509

}

TY - JOUR

T1 - Representations of graphs and orthogonal latin square graphs

AU - Erdős, P.

AU - Evans, Anthony B.

PY - 1989

Y1 - 1989

N2 - We define graph representations modulo integers and prove that any finite graph has a representation modulo some integer. We use this to obtain a new, simpler proof of Lindner, E. Mendelsohn, N. Mendelsohn, and Wolk's result that any finite graph can be represented as an orthogonal latin square graph.

AB - We define graph representations modulo integers and prove that any finite graph has a representation modulo some integer. We use this to obtain a new, simpler proof of Lindner, E. Mendelsohn, N. Mendelsohn, and Wolk's result that any finite graph can be represented as an orthogonal latin square graph.

UR - http://www.scopus.com/inward/record.url?scp=84986525482&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84986525482&partnerID=8YFLogxK

U2 - 10.1002/jgt.3190130509

DO - 10.1002/jgt.3190130509

M3 - Article

VL - 13

SP - 593

EP - 595

JO - Journal of Graph Theory

JF - Journal of Graph Theory

SN - 0364-9024

IS - 5

ER -