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ISAAC 2007, the 18th International Symposium on Algorithms and Compu- tion took place in Sendai, Japan, December 17-19, 2007. In the past, it was held in Tokyo (1990), Taipei (1991), Nagoya (1992), Hong Kong (1993), Beijing (1994), Cairns (1995), Osaka (1996), Singapore (1997), Daejeon (1998), Ch- nai (1999),Taipei (2000),Christchurch(2001), Vancouver(2002),Kyoto (2003), Hong Kong (2004), Hainan (2005), and Kolkata(2006). The symposium provided a forum for researchers working in algorithms and the theory of computation from all over the world. In response to our call for papers we received 220 submissions from 40 countries. The task of selecting the papers in this volume was done by our Program Committee and many other external reviewers. After a thorough review process, the Committee selected 77 papers. We hope all accepted papers will eventually appear in scienti?c journals in a more polished form. Two special issues, one of Algorithmica and one of the International Journal of Computational Geometry and Applications,with selected papers from ISAAC 2007 are in preparation. The best paper awardwasgivenfor IntegerRepresentationandCounting in the Bit Probe Model  to Mohammad Rhaman and Ian Munro. Selected from 27 submissionsauthoredbyonlystudents,thebeststudentpaperawardsweregiven for On Mixing and Edge Expansion Properties in Randomized Broadcasting  to Thomas Sauerwald and for Faster Combinatorial Algorithms for Deter- nant and Pfa?an  to Anna Urbanska. Two eminent invited speakers, Pankaj K. Agarwal, Duke University, USA, and Robin Thomas, Georgia Institute of Technology, USA, also contributed to this volume.

Complex analysis --- Discrete mathematics --- Computer science --- Computer architecture. Operating systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- discrete wiskunde --- complexe analyse (wiskunde) --- grafische vormgeving --- informatica --- algoritmen --- KI (kunstmatige intelligentie) --- computernetwerken --- numerieke analyse