• DocumentCode
    3316912
  • Title

    Space optimal chromatic polynomial algorithm

  • Author

    Basenspiler, Larry ; Hain, Thomas ; King, Ben

  • Author_Institution
    Div. of Comput. & Inf. Sci., South Alabama Univ., Mobile, AL, USA
  • fYear
    1991
  • fDate
    3-5 Apr 1991
  • Firstpage
    69
  • Lastpage
    72
  • Abstract
    The paper describes an algorithm for calculating the chromatic polynomial of a graph. Along with some algorithmic and programming improvements, the data structure used makes the space requirement virtually optimal-linear in the size of input and independent of the density of the graph. A program based on the best previously existing algorithm was able to handle sparse graphs on up to 15 vertices. The vectorized algorithm enabled such graphs to be processed on up to 27 vertices
  • Keywords
    computational complexity; graph theory; chromatic polynomial algorithm; data structure; sparse graphs; vectorized algorithm; vertices; Algorithm design and analysis; Computer languages; Data structures; IEL; Mobile computing; Modems; Polynomials; Tree graphs;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Applied Computing, 1991., [Proceedings of the 1991] Symposium on
  • Conference_Location
    Kansas City, MO
  • Print_ISBN
    0-8186-2136-2
  • Type

    conf

  • DOI
    10.1109/SOAC.1991.143849
  • Filename
    143849