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The Sylvester–Gallai theorem, colourings and algebra

✍ Scribed by Lou M. Pretorius; Konrad J. Swanepoel


Book ID
108113978
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
792 KB
Volume
309
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES


The colour theorems of Brooks and Gallai
✍ A.V. Kostochka; M. Stiebitz; B. Wirth 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 283 KB

One of the basic results in graph colouring is Brooks' theorem [-4] which asserts that the chromatic number of every connected graph, that is not a complete graph or an odd cycle, does not exceed its maximum degree. As an extension of this result, Gallai [6] characterized the subgraphs of k-colour-c