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Determinantal generating functions of colored spanning forests

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  • Gregory M. Constantine
  • Marius G. Buliga

Abstract

The color type of a spanning forest of a graph with colored edges is defined and, subsequently, it is proved that the generating function of such spanning forests is obtained as the formal expansion of a certain determinant. An analogous determinantal expansion yields the generating function of all spanning forests of a given color type that contain a specific subforest. Algorithms are described for obtaining a list of all colored spanning trees and spanning forests of any graph with colored edges based on symbolic calculation.

Suggested Citation

  • Gregory M. Constantine & Marius G. Buliga, 2004. "Determinantal generating functions of colored spanning forests," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:102046
    DOI: 10.1155/S0161171204302206
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