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IASI Research Report n. 376 (Previous Next) Bianco L.,

Dell'Olmo P.,

Giordani S.Exact and heuristic algorithms for the jump number problemABSTRACT Given a partial order .........., a linear extension ............. of P is a total order on the same ground set V of P, such that each couple of element u, ..... for which .... v implies ..... Given two consecutive elements u, .... the couple (u,v) forms a jump if u, v are not comparable in P. The jump number problem of P consists in determining a linear extension L of P with minimum number of jumps. This paper surveys the most important results in this area and presents an exact algorithm based on dynamic programming and a heuristic algorithm. Performances of both algorithms are experimentally evaluated on a number of randomly generated partially ordered sets.