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Generating aspect graphs for nonconvex polyhedra

โœ Scribed by S.R. Maripuri; I. Zeid


Book ID
103043389
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
603 KB
Volume
22
Category
Article
ISSN
0010-4485

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Let b(n) be the number of bipartite Steinhaus graphs with n vertices. We show that bin) satisfies the recurrence, b(2)=2, b(3)=4, and for k>~2, b(2k+ 1)=2b(k+ 1)+ 1, b(2k) = b(k) + b(k + 1). Thus b(n) <<, ~zn -~ with equality when n is one more than a power of two. To prove this recurrence, we descr