Direction trees
โ Scribed by Robert E. Jamison
- Book ID
- 105489532
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 301 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0179-5376
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
efinition. Let G be a graph arr$ assume s, .L z, w are distinct points of V(G) such that ((A,, \_J+) = XJ' and I: :, v-9) = w are in A(G) but (x, w) = SW and Tz, ,\*) = Ic\_ v are not isl,4(G). A DLW~~Y t to G is the replacement of XJ and tw by xw mb r\_v. The a+~v ~myh so obtained is denoted by rC.
We generalize the concept of tree-width to directed graphs and prove that every directed graph with no ``haven'' of large order has small tree-width. Conversely, a digraph with a large haven has large tree-width. We also show that the Hamilton cycle problem and other NP-hard problems can be solved i
To every directed graph G one can associate a complex 2(G) consisting of directed subforests. This construction, suggested to us by R. Stanley, is especially important in the case of a complete double directed graph G n , where it leads to the study of some interesting representations of the symmetr