Many contemporary metaphysicians think that for any two distinct things, it is always possible for them to coexist with one another. Leibniz gives a somewhat different answer: two distinct things are able to coexist with one another only when they are compossible. God cannot cre…
Bacterial cells during many cell division cycles accumulate spontaneous mutations, which result in the birth of novel clones – cells that carry identical set of mutations. As a result of this clonal expansion, an evolving bacterial population has different clonal composition ove…
In recent years, mathematicians working in nonlinear algebra have actively explored the use of algebraic geometry, combinatorics and symbolic computations to answer questions in a diverse field of applications, with an emphasis on statistics and optimization. This dissertation i…
This comprehensive textbook on combinatorial optimization places special¡emphasis on theoretical results and algorithms with provably good¡performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at grad…
The Arnold-Gelfand Mathematical Seminars
by Arnol'd, V. I., Retakh, V. S., Smirnov, M., Gelfand, I. M.
Geometric Methods and Optimization Problems
by Boltyanski, V., Martini, H., Soltan, V.
fromCombinatorial Optimization
A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included.
Ramsey theory is a relatively "new," approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and meas…
Ramsey Theory: Yesterday, Today, and Tomorrow
Ramsey theory is a relatively new, approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measur…