Graph minors. III. Planar tree-width
β Scribed by Neil Robertson; P.D Seymour
- Book ID
- 107884191
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 798 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a simple graph with n vertices and tw(G) be the tree-width of G. Let (G) be the spectral radius of G and (G) be the smallest eigenvalue of G. The join GβH of disjoint graphs of G and H is the graph obtained from G + H by joining each vertex of G to each vertex of H . In this paper, several
It is shown that for any positive integers k and w there exists a constant N ΒΌ N Γ°k; wΓ such that every 7-connected graph of tree-width less than w and of order at least N contains K 3;k as a minor. Similar result is proved for K a;k minors where a is an arbitrary fixed integer and the required conn
In 1971, Chartrand, Geller, and Hedetniemi conjectured that the edge set of a planar graph may be partitioned into two subsets, each of which induces an outerplanar graph. Some partial results towards this conjecture are presented. One such result, in which a planar graph may be thus edge partitione