This article is about ordering items with constraints. For centrality in social networks, see betweenness centrality. For the betweenness relation in geometry, see ordered geometry.
Betweenness is an algorithmic problem in order theory about ordering a collection of items subject to constraints that some items must be placed between others.[1] It has applications in bioinformatics[2] and was shown to be NP-complete by Opatrný (1979).[3]
^Chor, Benny; Sudan, Madhu (1998), "A geometric approach to betweenness", SIAM Journal on Discrete Mathematics, 11 (4): 511–523 (electronic), doi:10.1137/S0895480195296221, MR 1640920.
^Slonim, Donna; Kruglyak, Leonid; Stein, Lincoln; Lander, Eric (1997), "Building human genome maps with radiation hybrids", Journal of Computational Biology, 4 (4): 487–504, doi:10.1089/cmb.1997.4.487, PMID 9385541.
^Cite error: The named reference o79 was invoked but never defined (see the help page).
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