By Karsten Weihe (auth.), Stefan Näher, Dorothea Wagner (eds.)
This quantity includes the papers permitted for the 4th Workshop on set of rules Engineering (WAE 2000) held in Saarbruc ¨ ken, Germany, in the course of 5–8 September 2000, including the summary of the invited lecture given through Karsten Weihe. The Workshop on set of rules Engineering covers study on all elements of the topic. The target is to give contemporary study effects and to spot and discover instructions for destiny examine. past conferences have been held in Venice (1997), Saarbruc ¨ ken (1998), and London (1999). Papers have been solicited describing unique study in all points of set of rules engineering, together with: – improvement of software program repositories and systems which permit using and experimentation with e?cient discrete algorithms. – Novel makes use of of discrete algorithms in different disciplines and the evaluate of algorithms for reasonable environments. – Methodological concerns together with criteria within the context of empirical - seek on algorithms and knowledge constructions. – Methodological concerns concerning the strategy of changing person necessities into e?cient algorithmic strategies and implementations. this system committee approved sixteen from a complete of 30 submissions. this system committee assembly was once carried out electronically. the factors for sel- tion have been originality, caliber, and relevance to the topic region of the workshop. significant e?ort was once dedicated to the evaluate of the submissions and to p- viding the authors with suggestions. every one submission used to be reviewed by way of at the very least 4 software committee contributors (assisted via subreferees). a distinct factor of the ACM magazine of Experimental Algorithmics can be dedicated to chosen papers from WAE 2000.
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Extra info for Algorithm Engineering: 4th International Workshop, WAE 2000 Saarbrücken, Germany, September 5–8, 2000 Proceedings
2 provides the pseudo-code of WEAK-HEAPSORT. 42 Stefan Edelkamp and Patrick Stiegeler 3 Reﬁnements to the Algorithm The presented WEAK-HEAPSORT algorithm of Dutton can be improved leading to an algorithm that always achieves the best case number of comparisons. To understand the diﬀerence between the worst and the best case consider the diﬀerent cases that may occur while executing the algorithm (cf. Fig. 3). a) b) x x m m c) x m Fig. 3. Three diﬀerent cases that may occur in the MergeForest operation.
12]. Our implementation is based on (2, 16)–trees. PB contains exactly one element p, u for each vertex u contained in B. Generally, p represents the reduced cost of the best edge of u to an even labeled tree vertex. More precise, let Tr1 , . . , Trk denote the alternating trees at any stage of the blossom–shrinking approach. Every vertex u is associated with a series of (at most k) incident edges uv1 , . . , uvk and their reduced costs πuv1 , . . , πuvk 30 Kurt Mehlhorn and Guido Sch¨ afer (maintained by a standard priority queue).
For b = 1, the problem is unweighted. 8 Experimental results (not presented in this paper) showed that the priority queue approach is substantially faster than the specialized algorithm of LEDA to compute a maximum–weight (perfect) matching in a bipartite graph. 34 Kurt Mehlhorn and Guido Sch¨ afer Table 3. B4∗ , B4∗var vs. MST∗ on random graphs with variable weight range. 69 t 1 1 1 1 1 1 The running time of B4∗ and B4∗var depends signiﬁcantly on the size of the range, the running time of MST∗ depends only weakly (except for the unweighted case which is simpler).