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Long edges in the layouts of shuffle-exchange and cube-connected cycles graphs

โœ Scribed by Ferng-Ching Lin; Wei-Kuan Shih


Book ID
113162947
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
398 KB
Volume
23
Category
Article
ISSN
0020-0190

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๐Ÿ“œ SIMILAR VOLUMES


Long Cycles and 3-Connected Spanning Sub
โœ B. Jackson; N.C. Wormald ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 238 KB

Let \(G\) be a 3-connected \(K_{1, d}\)-free graph on \(n\) vertices. We show that \(G\) contains a 3-connected spanning subgraph of maximum degree at most \(2 d-1\). Using an earlier result of ours, we deduce that \(G\) contains a cycle of length at least \(\frac{1}{2} n^{c}\) where \(c=\left(\log