Complexity of graph embeddability problems
β Scribed by C. Benzaken; S. Foldes
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 890 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper concerns the optimal partition of a graph into p connected clusters of vertices, with various constraints on their topology and weight. We consider di erent objectives, depending on the cost of the trees spanning the clusters. This rich family of problems mainly applies to telecommunicati
## Abstract In this paper, we prove the following result: Every graph obtained by connecting (with any number of edges) two vertexβdisjoint upperβembeddable graphs graphs with even Betti number is upperβembeddable.
Let G be a 2-edge connected simple graph with girth g and minimal degree Ξ΄ β₯ 3. If one of the following conditions is satisfied: Here, M(Ξ΄, g) is the Moore bound of the (Ξ΄, g)-cage. As a corollary, there exists a constant c such that when Ξ΄ > r |V (G)|-6 c + 1 (r = g-1 2), G is up-embeddable.