Multiplicativity of acyclic digraphs
β Scribed by Huishan Zhou
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 478 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
## Abstract We study the multiplicativity and its variations of weak multiplicativity and very weak multiplicativity, analyze the role of connectivity condition in their definitions, and explore the relationship between them. New classes of multiplicative graphs and digraphs as well as weak multipl
## Abstract We shall prove that an oriented path is multiplicative if and only if it is homomorphically equivalent to a directed path. We shall also obtain some classes of digraphs that are nonmultiplicative.
## Abstract A natural digraph analog of the graph theoretic concept of βan independent setβ is that of βan acyclic set of vertices,β namely a set not spanning a directed cycle. By this token, an analog of the notion of coloring of a graph is that of decomposition of a digraph into acyclic sets. We