The Helly-type property of non-trivial intervals on a tree
โ Scribed by Maciej M. Sysklo
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 152 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
The purpose of this note is non-trivial intervals on a tree.
to prove a counterpart of the Helly property for a family of
๐ SIMILAR VOLUMES
We prove the existence of a non-trivial weak solution for the equation by variational methods. We consider the case where a = ฮป 1 or b = ฮป 1 (ฮป 1 denotes the first eigenvalue of -โ p ), or the case where a is close to b, while the nonlinearity f belongs to a class that contains, for example, |u| q-
We prove the existence of a non-trivial weak solution for the equation by variational methods. We consider the case where a = ฮป 1 or b = ฮป 1 , while the nonlinearity f belongs to a class that contains, for example, |u| q-2 u (1 < q < p).
In amortized analysis of data structures, it is standard to assume that initially the structure is empty. Usually, results cannot be established otherwise. In this paper, we investigate the possibilities of establishing such results for initially non-empty multi-way trees.
We prove that the total space E of an algebraic affine C -bundle ฯ : E โ X on the punctured complex affine plane X := C 2 -{(0, 0)} is Stein if and only if it is not isomorphic to the trivial holomorphic line bundle X ร C . ## 0. Introduction Let ฯ : E โ X be a holomorphic affine C -bundle on the