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The extremal graph problem of the icosahedron

✍ Scribed by Simonovits Miklós


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
528 KB
Volume
17
Category
Article
ISSN
0095-8956

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📜 SIMILAR VOLUMES


Digraph extremal problems, hypergraph ex
✍ W.G Brown; M Simonovits 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 747 KB

We consider extremal problems 'of Tur~ type' for r-uniform ordered hypergraphs, where multiple oriented edges are permitted up to multiplicity q. With any such '(r, q)-graph' G" we associate an r-linear form whose maximum over the standard (n -1)-simplex in R" is called the (graph-) density g(G ") o

A convex characterization of the graphs
✍ Patricia Vanden Cruyce 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 378 KB

Let r be a 3-polytopal graph such that every face of r is convex. We prove that if the set of proper convex subgraphs of r is equal to the set of proper convex subgraphs of the dodecahedron (resp. icosahedron), then F is isomorphic to the dodecahedron (resp. icosahedron).

The solution to an extremal problem on b
✍ A. Ruciński; A. Vince 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 694 KB

## Abstract For __n__ sufficiently large the order of a smallest balanced extension of a graph of order __n__ is, in the worst case, ⌊(__n__ + 3)^2^/8⌋. © 1993 John Wiley & Sons, Inc.

On the Extremal Aspect of the Frobenius
✍ Vsevolod F. Lev 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 347 KB

concerning the well-known diophantine problem of Frobenius was given an exact solution for linear forms with the set of coefficients of density 1 2 (or more). In the present paper, we advance this up to the density 1 3 .