The asymptotic number of rooted nonseparable maps on a surface

Edward A. Bender; Nicholas C. Wormald

doi:10.1016/0097-3165(88)90063-5

The asymptotic number of rooted nonseparable maps on a surface

Edward A. Bender, Nicholas C. Wormald

Research output: Contribution to journal › Article › Research › peer-review

30 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	370-380
Number of pages	11
Journal	Journal of Combinatorial Theory, Series A
Volume	49
Issue number	2
DOIs	https://doi.org/10.1016/0097-3165(88)90063-5
Publication status	Published - 1988
Externally published	Yes

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10.1016/0097-3165(88)90063-5

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Cite this

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title = "The asymptotic number of rooted nonseparable maps on a surface",

abstract = "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.",

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AU - Wormald, Nicholas C.

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AB - 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.

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U2 - 10.1016/0097-3165(88)90063-5

DO - 10.1016/0097-3165(88)90063-5

M3 - Article

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EP - 380

JO - Journal of Combinatorial Theory - Series A

JF - Journal of Combinatorial Theory - Series A

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