Graphs where Search Methods are Indistinguishable
Keyword(s):
Graph searching is one of the simplest and most widely used tools in graph algorithms. Every graph search method is defined using some partic-ular selection rule, and the analysis of the corre-sponding vertex orderings can aid greatly in de-vising algorithms, writing proofs of correctness, or recognition of various graph families. We study graphs where the sets of vertex order-ings produced by two di˙erent search methods coincide. We characterise such graph families for ten pairs from the best-known set of graph searches: Breadth First Search (BFS), Depth First Search (DFS), Lexicographic Breadth First Search (LexBFS) and Lexicographic Depth First Search (LexDFS), and Maximal Neighborhood Search (MNS).
2021 ◽
Vol 10
(2)
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pp. 265
Keyword(s):
1998 ◽
Vol 09
(01)
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pp. 43-60
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Keyword(s):
2013 ◽
Vol 284-287
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pp. 2652-2656
2013 ◽
Vol 145
(1)
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pp. 150-160
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Keyword(s):
2020 ◽
Vol 11
(4)
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pp. 2722-2731
2020 ◽
Vol 69
(12)
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pp. 1873-1878