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Triangulations of 3-way regular tripartite graphs of degree 4, with applications to orthogonal latin squares - MaRDI portal

Triangulations of 3-way regular tripartite graphs of degree 4, with applications to orthogonal latin squares (Q1356443)

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scientific article; zbMATH DE number 1018500
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English
Triangulations of 3-way regular tripartite graphs of degree 4, with applications to orthogonal latin squares
scientific article; zbMATH DE number 1018500

    Statements

    Triangulations of 3-way regular tripartite graphs of degree 4, with applications to orthogonal latin squares (English)
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    9 June 1997
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    Necessary and sufficient conditions for a 4-regular tripartite graph to have an edge-partition into triangles are established. Applications to completion of partial latin squares, and to embedding partial orthogonal latin squares, are given.
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    triangle partition
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    tripartite graph
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    partial latin squares
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    embedding
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    orthogonal latin squares
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