The asymptotic number of rooted nonseparable maps on a surface

Edward A. Bender, Nicholas C. Wormald

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21 Citations (Scopus)


We obtain asymptotics for the number of rooted nonseparable maps on an arbitrary surface. A nonsingular map is defined to be a map with no multiple vertex-face incidences. Trivially, every nonsingular map is nonseparable. We show that almost all nonseparable maps on a given surface are nonsingular.

Original languageEnglish
Pages (from-to)370-380
Number of pages11
JournalJournal of Combinatorial Theory, Series A
Issue number2
Publication statusPublished - 1988
Externally publishedYes

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