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Algorithm 24 algorithm for deriving the chromatic polynomial of a graph

Algorithmus zur Bestimmung des chromatischen Polynoms eines Graphen

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Abstract

An algorithm for deriving the chromatic polynomial of a graph in coefficient form is described. A FORTRAN implementation is given, and some computational experience is summarized.

Zusammenfassung

Es wird ein Algorithmus beschrieben, der das chromatische Polynom eines Graphen in Koeffizientenform liefert. Ein FORTRAN-Programm wird angegeben und einige praktische Erfahrungen werden kurz zusammengefaßt.

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References

  1. Busacker, R. G., Saaty, T. L.: Finite Graphs and Networks. McGraw-Hill 1965.

  2. Harary, F.: Graph Theory. Addison-Wesley 1969.

  3. James, K. R., Riha, W.: On Certain Properties of Chromatic Polynomials. Submitted to J. Combinatorial Theory.

  4. James, K. R., Riha, W.: Algorithm for Generating Graphs of a Given Degree Specification. Submitted to Computing.

  5. Read, R. C.: An Introduction to Chromatic Polynomials. J. Combinatorial Theory4, 52–71 (1968).

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Authors and Affiliations

  1. Centre for Computer Studies, University of Leeds, LS2 9JT, Leeds, England

    K. R. James &  W. Riha

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  1. K. R. James
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  2. W. Riha
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James, K.R., Riha, W. Algorithm 24 algorithm for deriving the chromatic polynomial of a graph. Computing 14, 195–203 (1975). https://doi.org/10.1007/BF02242318

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  • DOI: https://doi.org/10.1007/BF02242318

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