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Submap Density and Asymmetry Results for Two Parameter Map Families
Published online by Cambridge University Press: 01 March 1997
Abstract
Let [Mscr ]n,k(S) be the set of n-edge k-vertex rooted maps in some class on the surface S. Let P be a planar map in the class. We develop a method for showing that almost all maps in [Mscr ]n,k(S) contain many copies of P. One consequence of this is that almost all maps in [Mscr ]n,k(S) have no symmetries. The classes considered include c-connected maps (c [les ] 3) and certain families of degree restricted maps.
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- 1997 Cambridge University Press
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