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Spanning trees, Euler tours, medial graphs, left-right paths and cycle spaces

✍ Scribed by R.Bruce Richter


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
468 KB
Volume
89
Category
Article
ISSN
0012-365X

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✦ Synopsis


A variety of algebraic relationships between the various objects in the title are obtained. For example, if a graph embedded in the projective plane has only one left-right path, then the number of spanning trees in the graph and its geometric dual have different parities and its medial has an odd number of noncrossing Euler tours.