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- W2228103624 abstract "Is it possible to force a graph search algorithm to visit a selected vertex as last? Corneil, Köhler, and Lanlignel showed that this end-vertex decision problem is NP-complete for Lexicographic Breadth-First Search (LexBFS). Charbit, Habib, and Mamcarz extended the intractability result, and showed that the end-vertex problem is hard also for BFS, DFS, and LexDFS. We ask for positive results, and study algorithmic and combinatorial questions. We show that the end-vertex problem for BFS and DFS can be solved in $$mathcal{O}^*(2^n)$$ time, hereby improving upon the straightforward and currently best known running-time bound of $$mathcal{O}^*(n!)$$ . We also determine conditions that preserve end-vertices in subgraphs when extending to larger graphs. Such results are of interest in algorithm design, when applying techniques such as dynamic programming and divide-and-conquer." @default.
- W2228103624 created "2016-06-24" @default.
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- W2228103624 date "2015-01-01" @default.
- W2228103624 modified "2023-10-09" @default.
- W2228103624 title "End-Vertices of Graph Search Algorithms" @default.
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- W2228103624 doi "https://doi.org/10.1007/978-3-319-18173-8_22" @default.
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