The series of MFCS symposia, organized in rotation by Poland, Slovakia, and the Czech Republic since 1972, has a long and well-established tradition. The symposiaencouragehigh-qualityresearchinallbranchesoftheoreticalcomputer science.Their broadscopeprovidesanopportunityto bring together researchers whodonotusuallymeetatspecialized conferences. The 35th International Symposium on Mathematical Foundations of C- puter Science (MFCS 2010) was organized in parallel with the 19th EACSL Annual Conference on Computer Science Logic (CSL 2010). The federated MFCS and CSL 2010 conference had shared plenary sessions and social events forallparticipants,butthescienti?cprogramandtheproceedingswereprepared independently for both events. Out of 149 regular submissions to MFCS 2010, the Program Committee - lected 56 papers for presentation at the conference and publication in this v- ume. Each paper was reviewed by at least three Program Committee members with the help of outside experts, and the actual selection was based on a sub- quent electronic discussion. In addition to the contributed papers, the scienti?c program of MFCS 2010 included ?ve MFCS and CSL plenary talks delivered by David Basin (ETH Z.
. urich),HerbertEdelsbrunner (IST Austria andDuke University),ErichGrad .. el (RWTH Aachen), Bojan Mohar (University of Ljubljana and Simon Fraser U- versity),andJosephSifakis (CNRS), andthree invitedMFCS lecturesby Andris Ambainis (University of Latvia), Juraj Hromkovi?c(ETHZur .. ich), and Daniel Lokshtanov (Universitetet i Bergen). We are grateful to the invited speakers for accepting our invitation and sharing their knowledge and skills with all MFCS 2010 participants.