Topics in Matroid Theory is popular PDF and ePub book, written by Leonidas S. Pitsoulis in 2013-10-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Topics in Matroid Theory can be Read Online from any device for your convenience.
Topics in Matroid Theory Book PDF Summary
Topics in Matroid Theory provides a brief introduction to matroid theory with an emphasis on algorithmic consequences.Matroid theory is at the heart of combinatorial optimization and has attracted various pioneers such as Edmonds, Tutte, Cunningham and Lawler among others. Matroid theory encompasses matrices, graphs and other combinatorial entities under a common, solid algebraic framework, thereby providing the analytical tools to solve related difficult algorithmic problems. The monograph contains a rigorous axiomatic definition of matroids along with other necessary concepts such as duality, minors, connectivity and representability as demonstrated in matrices, graphs and transversals. The author also presents a deep decomposition result in matroid theory that provides a structural characterization of graphic matroids, and show how this can be extended to signed-graphic matroids, as well as the immediate algorithmic consequences.
Detail Book of Topics in Matroid Theory PDF
- Author : Leonidas S. Pitsoulis
- Release : 24 October 2013
- Publisher : Springer Science & Business Media
- ISBN : 9781461489573
- Genre : Mathematics
- Total Page : 138 pages
- Language : English
- PDF File Size : 9,8 Mb
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