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Small degree vertices in minimal bricks

โœ Scribed by Bruhn, Henning; Stein, Maya


Book ID
122247269
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
183 KB
Volume
44
Category
Article
ISSN
1571-0653

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๐Ÿ“œ SIMILAR VOLUMES


Vertices of Small Degree in Uniquely Ham
โœ J.A. Bondy; Bill Jackson ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB

Let G be a uniquely hamiltonian graph on n vertices. We show that G has a vertex of degree at most c log 2 8n+3, where c=(2&log 2 3) &1 r2.41. We show further that G has at least two vertices of degree less than four if it is planar and at least four vertices of degree two if it is bipartite.

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โœ Eisenbud, David.; Green, M.; Hulek, Klaus.; Popescu, Sorin ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Hopkins University Press ๐ŸŒ English โš– 447 KB