A ranking of a graph G is a mapping, p, from the vertices of G to the natural numbers such that for every path between any two vertices u and u, uf II, with p(u) = p(u), there exists at least one vertex w on that path with p(w) > p(u) = p(u). The value p(u) of a vertex u is the rank of vertex II. A
On parallel recognition of cographs
β Scribed by Sun-Yuan Hsieh
- Book ID
- 108281687
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 302 KB
- Volume
- 412
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The problem of dynamically recognizing a graph property calls for e ciently deciding if an input graph satisΓΏes the property under repeated modiΓΏcations to its set of vertices and edges. The input to the problem consists of a series of modiΓΏcations to be performed on the graph. The objective is to m
The rank of a graph is defined to be the rank of its adjacency matrix. Royle [G.F. Royle, The rank of a cograph, Electron. J. Combin. 10 (2003) #N11] proved a somewhat surprising result that the rank of a cograph is equal to the number of distinct non-zero rows of its adjacency matrix. In this paper