A Contribution to the Study of the Fitness Landscape for a Graph Drawing Problem

作者: Rémi Lehn , Pascale Kuntz

DOI: 10.1007/3-540-45365-2_18

关键词:

摘要: These past few years genetic algorithms and stochastic hill-climbing have received a growing interest for different graph drawing problems. This paper deals with the layered of directed graphs which is known to be an NP-complete problem arc-crossing minimization criterium. Before setting out (n+1)th comparison between meta-heuristics, we here prefer study characteristics arccrossings landscape three local transformations (greedy switching, barycenter, median) adapted from Sugiyama heuristic propose descriptive analysis two families. First, all possible layouts 2021 small are generated optima (number, type, height, attracting sets) precisely defined. Then, second family 305 larger (up 90 vertices) examined one thousand hill-climbers. highlights diversity encountered configurations gives leads choice efficient heuristics.

参考文章(19)
Stuart M. Shieber, Joe Marks, Corey Kosak, A Parallel Genetic Algorithm for Network-Diagram Layout. ICGA. pp. 458- 465 ,(1991)
Helen Purchase, Which Aesthetic has the Greatest Effect on Human Understanding graph drawing. ,vol. 1353, pp. 248- 261 ,(1997) , 10.1007/3-540-63938-1_67
Terry Jones, Evolutionary Algorithms, Fitness Landscapes and Search Research Papers in Economics. ,(1995)
T. Masui, Graphic object layout with interactive genetic algorithms ieee symposium on visual languages. pp. 74- 80 ,(1992) , 10.1109/WVL.1992.275781
Daniel Kobler, Andrea G. B. Tettamanzi, Recombination operators for evolutionary graph drawing Lecture Notes in Computer Science. pp. 988- 997 ,(1998) , 10.1007/BFB0056940
Cezary Z. Janikow, Zbigniew Michalewicz, Lindsay J. Groves, Paul V. Elia, Genetic algorithms for drawing directed graphs Methodologies for intelligent systems, 5. pp. 268- 276 ,(1991)
Erkki Mäkinen, Mika Sieranta, Genetic algorithms for drawing bipartite graphs International Journal of Computer Mathematics. ,vol. 53, pp. 157- 166 ,(1994) , 10.1080/00207169408804322
Peter Eades, Nicholas C. Wormald, Edge crossings in drawings of bipartite graphs Algorithmica. ,vol. 11, pp. 379- 403 ,(1994) , 10.1007/BF01187020
Éric D. Taillard, COMPARISON OF ITERATIVE SEARCHES FOR THE QUADRATIC ASSIGNMENT PROBLEM. Location Science. ,vol. 3, pp. 87- 105 ,(1995) , 10.1016/0966-8349(95)00008-6