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A short proof of the degree bound for interval number - MaRDI portal

A short proof of the degree bound for interval number (Q1114708)

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scientific article; zbMATH DE number 4083665
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English
A short proof of the degree bound for interval number
scientific article; zbMATH DE number 4083665

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    A short proof of the degree bound for interval number (English)
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    1989
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    A short proof is given of the fact that every graph has an interval representation of depth 2 in which each vertex v is represented by at most \(\lfloor (d(v)+1\rfloor\) intervals, except for an arbitrarily specified vertex w that appears left-most in the representation and is represented by at most \(\lceil (d(w)+1)\rceil\) intervals.
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    interval representation
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