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Finding the Graph with the Maximum Number of Spanning Trees

✍ Scribed by George Moustakides; Samuel D. Bedrosian

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
328 KB
Volume
310
Category
Article
ISSN
0016-0032

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✦ Synopsis

The problem is to determine the linear graph that has the maximum number of spanning trees, where only the number of nodes N and the number of branches B are prescribed. We deal with connected graphs G(N, B) obtained by deleting D branches from a complete graph KN. Our solution is for D less than or equal to N.

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