An analysis of the greedy algorithm for partially ordered sets

Tripled partially ordered sets

In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partiallyordered sets. Some basic properties on these new dened sets are studied and some examples forclarifying are given.

An efficient search algorithm for partially ordered sets

Consider the problem of membership query for a given partially ordered set. We devise a greedy algorithm which can produce near-optimal search strategies. Rigorous analysis has been given, which shows our algorithm can have fewer comparisons than the best known solution by at least a factor of 0.27 under random graph model. Experimental results have also been given, which suggest the advantage ...

A Generic Greedy Algorithm, Partially-Ordered Graphs and NP-Completeness

Majorization for partially ordered sets

We generalize the classical notion of majorization in Rn to a majorization order for functions defined on a partially ordered set P . In this generalization we use inequalities for partial sums associated with ideals in P . Basic properties are established, including connections to classical majorization. Moreover, we investigate transfers (given by doubly stochastic matrices), complexity issue...

On a universal best choice algorithm for partially ordered sets

For the only known universal best choice algorithm for partially ordered sets with known cardinality and unknown order (proposed by J. Preater) we improve the estimation of the lower bound of its chance of success from the hitherto known constant 1/8 to 1/4. We also show that this result is the best possible for this algorithm, i.e., the 1/4 bound cannot be further improved.