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Augmenting Graphs to Minimize the Diameter

โœ Scribed by Frati, Fabrizio; Gaspers, Serge; Gudmundsson, Joachim; Mathieson, Luke


Book ID
125348021
Publisher
Springer
Year
2014
Tongue
English
Weight
534 KB
Volume
72
Category
Article
ISSN
0178-4617

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Size in maximal triangle-free graphs and
โœ Curtiss Barefoot; Karen Casey; David Fisher; Kathryn Fraughnaugh; Frank Harary ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 290 KB

A triangle-free graph is maximal if the addition of any edge creates a triangle. For n ~> 5, we show there is an n-node m-edge maximal triangle-free graph if and only if it is complete bipartite or 2n-5<<.m<<.L(n-1)2/4J+l. A diameter 2 graph is minimal if the deletion of any edge increases the diame