Electronic Resource
Oxford, UK
:
Blackwell Publishing Ltd
Annals of the New York Academy of Sciences
319 (1979), S. 0
ISSN:
1749-6632
Source:
Blackwell Publishing Journal Backfiles 1879-2005
Topics:
Natural Sciences in General
Notes:
A central reflex is a map on the sphere that is transformed into its dual map by reflection in the center. It is shown in [2] that the number T(M) of spanning trees of a central reflex M is a perfect square {X(M)}2. In the present paper we determine X(M) directly as the number of spanning trees of M in which no edge is equivalent, under central reflection, to the dual edge of another.The paper is constructed as an expository article on the theory of dual planar maps. The proof that T(M) = {X(M)}2 is presented as an exercise in this theory.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1111/j.1749-6632.1979.tb32834.x
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