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On coefficients of path polynomials

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  • E. J. Farrell

Abstract

Explicit formulae, in terms of sugraphs of the graph, are given for the first six coefficients of the simple path polynomial of a graph. From these, explicit formulae are deduced for the number of hamiltonian paths in graphs with up to six nodes. Also simplified expressions are given for the number of ways of covering the nodes of some families of graphs with k paths, for certain values of k .

Suggested Citation

  • E. J. Farrell, 1984. "On coefficients of path polynomials," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 7, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:476928
    DOI: 10.1155/S0161171284000065
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