We show that for every k β₯ 1 and Ξ΄ > 0 there exists a constant c > 0 such that, with probability tending to 1 as n β β, a graph chosen uniformly at random among all triangle-free graphs with n vertices and M β₯ cn 3/2 edges can be made bipartite by deleting Ξ΄M edges. As an immediate consequence of th
On minimal 5-chromatic triangle-free graphs
β Scribed by David Avis
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 139 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
It is shown that the minimum number of vertices in a triangleβfree 5βchromatic graph is at least 19.
π SIMILAR VOLUMES
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Spin models were introduced by V. Jones (Pac. J. Math. 137 (1989), 311 334) to construct invariants of knots and links. A spin model is defined as a pair S=(X, w) of a fine set X and a function w: X\_X Γ C satisfying several axioms. Let 1=(X, E) be a connected graph with the usual metric : X\_X Γ [0
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