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On the products of cross-ratios on diagonals of polygons

✍ Scribed by Joseph Zaks

Publisher
Springer
Year
1996
Tongue
English
Weight
259 KB
Volume
60
Category
Article
ISSN
0046-5755

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✦ Synopsis

The purpose of this paper is to establish a conjecture of B. Griinbaum, which states that in every n-polygon P in the plane, n > 5, some diagonals intersect in a pattern that defines a new n-polygon 6 (P), such that the product of the cross-ratios on the diagonals of P is equal to the product of the corresponding cross-ratios on the diagonals of 6(P).

πŸ“œ SIMILAR VOLUMES

On the domination number of cross produc
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✍ Sylvain Gravier; Abdelkader Khelladi πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 195 KB

In this communication the domination number of the cross product of an elementary path with the complement of another path is exactly determined and some inequalities for general cases are deduced. The paper ends with a Vizing-like conjecture relating the domination number of the cross product of G