Shortcuts, diversions, and maximal chainsin partially ordered sets

نویسندگان

  • David Sankoff
  • Peter H. Sellers
چکیده

An algorithm is described for finding the maximal weight chain between two points in a locally finite partial order under the restriction that all but • (or fewer) successive pairs in the chain belong to a given subset of the partial order relation. Applications of the method in molecular genetics, critical path scheduling, and other fields are discussed. Let P be a set with two locally finite partial orderings, called strong and weak, in which ordered pairs are designated by p ~ q and p < q, respectively. The strongly ordered pairs consti tute a subset of the weakly ordered pairs, or, in other words, i f (p , q) ~ P X P and p ~ q, then p < q. Let W be any non-negative, real-valued function on P, which we will call the weight function. A chain between p ~ P and q ~ P is any

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عنوان ژورنال:
  • Discrete Mathematics

دوره 4  شماره 

صفحات  -

تاریخ انتشار 1973