## Abstract Generalized line graphs extend the ideas of both line graphs and cocktail party graphs. They were originally motivated by spectral considerations. in this paper several (nonspectral) classical theorems about line graphs are extended to generalized line graphs, including the derivation a
Generalized and/or graphs
โ Scribed by Giorgio Levi; Franco Sirovich
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 974 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0004-3702
No coin nor oath required. For personal study only.
โฆ Synopsis
A generalization of AND/OR graphs is introduced as a problem solving model, in which subproblem interdependence in problem reduction can be explicitly accounted for. An ordered-search algorithm is given to fred a solution. The algorithm is proven to be admissible and optimal Examples are given which show the application of the formalism to problems which cannot be modelled by AND [OR graphs. Generalized AND[OR graphs are finally shown to he equivalent to type 0 grammars. Finding a solution of a generalized AND[OR graph is shown to be equivalent to deriving a sentence in the corresponding type 0 grammar.
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