On the complexity of a hypermap

It is shown that the number of g-hypertrees spanning the hyperdual (σ−1, σ−1α) of a hypermap (σ, α) of genus g equals the number of circular permutations ζ such that g(σ, ξ) = g and g(α, ζ) = 0.

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Bibliographic Details
Published inDiscrete mathematics Vol. 42; no. 2-3; pp. 221 - 226
Main Author Machi', A.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 1982
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Summary:It is shown that the number of g-hypertrees spanning the hyperdual (σ−1, σ−1α) of a hypermap (σ, α) of genus g equals the number of circular permutations ζ such that g(σ, ξ) = g and g(α, ζ) = 0.
ISSN:0012-365X
1872-681X
DOI:10.1016/0012-365X(82)90219-9