Fast Algorithm for Rank-Width

作者: Martin Beyß

DOI: 10.1007/978-3-642-36046-6_9

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摘要: Inspired by the heuristic algorithm for boolean-width Telle et. al. [1], we develop a rank-width. We compare results on graphs of practical relevance to established bounds boolean-width. While width most is lower than known values tree-width, it turns out that able find decompositions significantly width. In second step therefore present further can decide if graph G and value k exists rank-decomposition k. This enables show in fact or equal rank-width many investigated graphs.

参考文章(18)
Eivind Magnus Hvidevold, Sadia Sharmin, Jan Arne Telle, Martin Vatshelle, Finding good decompositions for dynamic programming on dense graphs international symposium on parameterized and exact computation. pp. 219- 231 ,(2011) , 10.1007/978-3-642-28050-4_18
Michael A. Trick, David J. Johnson, Cliques, Coloring, and Satisfiability: Second DIMACS Implementation Challenge, Workshop, October 11-13, 1993 American Mathematical Society. ,(1996)
Neil Robertson, P.D Seymour, Graph minors. III. Planar tree-width Journal of Combinatorial Theory, Series B. ,vol. 36, pp. 49- 64 ,(1984) , 10.1016/0095-8956(84)90013-3
Bruno Courcelle, The monadic second-order logic of graphs. I. recognizable sets of finite graphs Information & Computation. ,vol. 85, pp. 12- 75 ,(1990) , 10.1016/0890-5401(90)90043-H
Eric Torng, Jason McCullough, SRPT optimally utilizes faster machines to minimize flow time ACM Transactions on Algorithms. ,vol. 5, pp. 1- 25 ,(2008) , 10.1145/1435375.1435376
P. Hlineny, S.-i. Oum, D. Seese, G. Gottlob, Width Parameters Beyond Tree-width and their Applications The Computer Journal. ,vol. 51, pp. 326- 362 ,(2008) , 10.1093/COMJNL/BXM052
P.D Seymour, Neil Robertson, Graph minors: X. obstructions to tree-decomposition Journal of Combinatorial Theory, Series B. ,vol. 52, pp. 153- 190 ,(1991) , 10.1016/0095-8956(91)90061-N
B. Courcelle, J. A. Makowsky, U. Rotics, Linear Time Solvable Optimization Problems on Graphs of Bounded Clique-Width Theory of Computing Systems \/ Mathematical Systems Theory. ,vol. 33, pp. 125- 150 ,(2000) , 10.1007/S002249910009
Sang-il Oum, Paul Seymour, Approximating clique-width and branch-width Journal of Combinatorial Theory, Series B. ,vol. 96, pp. 514- 528 ,(2006) , 10.1016/J.JCTB.2005.10.006