A computer-aided proof of a conjecture in Euclidean geometry
โ Scribed by Mihai Cipu
- Book ID
- 108077292
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 334 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A dominating set D of a graph G is a least dominating set (I.d.s) if y((D)) < 2~((D~)) for any dominating set D1 (7 denotes domination number). The least domination number ~ ~ (G) of G is the minimum cardinality of a 1.d.s. We prove a conjecture of Sampathkumar (1990) that Vl ~< 3p/5 for any connect
Graffiti is a computer program that checks for relationships among certain graph invariants. It uses a database of graphs and has generated well over 700 conjectures. Having obtained a readily available computer tape of all the nonisomorphic graphs with 10 or fewer vertices, we have tested approxima
It was conjectured in [Wang, to appear in The Australasian Journal of Combinatorics] that, for each integer k โฅ 2, there exists . This conjecture is also verified for k = 2, 3 in [Wang, to appear; Wang, manuscript]. In this article, we prove this conjecture to be true if n โฅ 3k, i.e., M (k) โค 3k. W
Let G = (V, E) be a graph and N G [v] the closed neighborhood of a vertex v in G. For k โ N, the minimum cardinality of a set In this note we prove the following conjecture of Rautenbach and Volkmann [D. Rautenbach, L. Volkmann, New bounds on the k-domination number and the k-tuple domination numbe