The study of matroids is a branch of discrete mathematics with basic links to graphs, lattices, codes, transversals, and projective geometries. Matroids are of fundamental importance in combinatorial optimization and their applications extend into electrical engineering and statics. This new in paperback version of the classic "Matroid Theory" by James Oxley provides a comprehensive introduction to matroid theory, covering the very basics to more advanced topics. With over 500 exercises and proofs of major theorems, this book is the ideal reference and class text for academics and graduate students in mathematics and computer science. The final chapter lists sixty unsolved problems and describes progress towards their solutions.
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"An excellent graduate textbook and reference work on matroid theory. It is an excellent first book on the subject due to its comprehensive nature. There is a wealth of material to mine for graduate students, graph theorists, and researchers in the area." --Mathematical Reviews "An excellent graduate textbook and reference work on matroid theory. It is an excellent first book on the subject due to its comprehensive nature. There is a wealth of material to mine for graduate students, graph theorists, and researchers in the area." --Mathematical Reviews "An excellent graduate textbook and reference work on matroid theory. It is an excellent first book on the subject due to its comprehensive nature. There is a wealth of material to mine for graduate students, graph theorists, and researchers in the area." --Mathematical Reviews "An excellent graduate textbook and reference work on matroid theory. It is an excellent first book on the subject due to its comprehensive nature. There is a wealth of material to mine for graduate students, graph theorists, and researchers in the area." --Mathematical Reviews
James Oxley was born in Australia. After completing his undergraduate studies there, he received his doctorate from Oxford University in 1978 under the supervision of Dominic Welsh. After a postdoctoral position at the Australian National University and a Fulbright Postdoctoral Fellowship at the University of North Carolina, he began working at Louisiana State University in 1982. He has been an Alumni Professor there since 1999. He has written more than one hundred research papers in matroid theory and graph theory and has given over fifty conference talks including plenary addresses at the British Combinatorial Conference in 2001 and an American Mathematical Society meeting in 2002. Fourteen students have completed doctorates under his supervision and he is currently advising five other doctoral candidates. In 1999, he was named LSU's Distinguished Research Master for Engineering, Science, and Technology. From April until July 2005, he was a Visiting Research Fellow at Merton College, Oxford.
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