LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	519.6
Title	Topics in Matroid Theory (EB) / by Leonidas S. Pitsoulis.
Author	Pitsoulis, Leonidas S.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer, 2014.
Physical Details	XIV, 127 p. 46 illus. : online resource.
ISBN	9781461489573
Summary Note	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. :
Contents note	1.Introduction -- 2.Graph Theory, Vector Spaces and Transversals -- 3.Definition of Matroids -- 4.Representability, Duality, Minors, and Connectivity -- 5. Decomposition of Graphic Matroids -- 6.Signed-Graphic Matroids -- List of Symbols -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4614-8957-3
Links to Related Works	Subject References: Algorithms . Combinatorics . Continuous Optimization . Geometry . Graph Theory . Mathematics . Authors: Pitsoulis, Leonidas S. . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Optimization . Classification: 519.6 .

Catalogue Display

Topics in Matroid Theory

Reviews