Some minimax problems for graphs
β Scribed by Miroslav Fiedler
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 462 KB
- Volume
- 121
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Fiedler, M., Some minimax problems for graphs, Discrete Mathematics 121 (1993) 65-74.
If a characteristic of a simple graph G allows an extension to nonnegative edge valuations of G, the corresponding absolute characteristic is defined as the extreme of the characteristic over all nonnegative edge valuations of G with an average value of 1. A survey of the results for previously studied cases is given and new results on the absolute algebraic connectivity, absolute diameter and absolute radius of a tree are added.
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Abslract. Denote by @)(n; k) an ~-graph of n vcrtieca and k r-tuples. Turin's classical problem states: Detomline the smailcst integer f(n;r, I) so that cvcry G%; f(n; r, I)) contains a K@)(I). Tur&n determined f (n; r, I) for r = 2, but nothing is known for r > ?. Put lim,,f(n; t, O/(y) = c,,~ The
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