A Practical Algorithm for the Uniform Membership Problem of Labeled Multidigraphs of Tree-Width 2 for Spanning Tree Automata

Autor: Akio Fujiyoshi
Rok vydání: 2017
Předmět:
Zdroj: International Journal of Foundations of Computer Science. 28:563-581
ISSN: 1793-6373
0129-0541
DOI: 10.1142/s012905411740007x
Popis: This paper presents a practical algorithm for the uniform membership problem of labeled multidigraphs of tree-width at most 2 for spanning tree automata. Though the theoretical existence of a linear-time algorithm for the membership problem for graphs of bounded tree-width was shown in the previous study, the implementation of the linear-time algorithm is expected to be impractical because it requires the construction of a finite-state automaton whose size is super-exponential in the size of the tree automaton and the tree-width of graphs. In addition, the tree automaton itself should be a part of the input in practical situations.
Databáze: OpenAIRE