Disproof of a conjecture in graph reconstruction theory
✍ Scribed by Dezső Miklós
- Publisher
- Springer-Verlag
- Year
- 1992
- Tongue
- English
- Weight
- 155 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0209-9683
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📜 SIMILAR VOLUMES
## Abstract For each __k__ ≥ 3, we construct a finite directed strongly __k__‐connected graph __D__ containing a vertex __t__ with the following property: For any __k__ spanning __t__‐branchings, __B__~1~, …, __B__~__k__~ in __D__ (i. e., each __B__~__i__~ is a spanning tree in __D__ directed towar
In this note we shall show that the Graph Reconstruction Conjecture (also called the Kelly-Ulam conjecture [l, p. 1 I]) is equivalent to a conjecture about the algebraic properties of certain directed trees and their homomorphic images. We shall also show that the Graph Reconstruction Conjecture is