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Published by Springer Berlin Heidelberg, 1975
ISBN 10: 3540071776 ISBN 13: 9783540071778
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Matroid theory has its origin in a paper by H. Whitney entitled 'On the abstract properties of linear dependence' [35], which appeared in 1935. The main objective of the paper was to establish the essential (abstract) properties of the concepts of linear dependence and independence in vector spaces, and to use these for the axiomatic definition of a new algebraic object, namely the matroid. Furthermore, Whitney showed that these axioms are also abstractions of certain graph-theoretic concepts. This is very much in evidence when one considers the basic concepts making up the structure of a matroid: some reflect their linear algebraic origin, while others reflect their graph-theoretic origin. Whitney also studied a number of important examples of matroids. The next major development was brought about in the forties by R. Rado's matroid generalisation of P. Hall's famous 'marriage' theorem. This provided new impulses for transversal theory, in which matroids today play an essential role under the name of 'independence structures', cf. the treatise on transversal theory by L. Mirsky [26J. At roughly the same time R.P. Dilworth estab lished the connection between matroids and lattice theory. Thus matroids became an essential part of combinatorial mathematics. About ten years later W.T. Tutte [30] developed the funda mentals of matroids in detail from a graph-theoretic point of view, and characterised graphic matroids as well as the larger class of those matroids that are representable over any field.
Published by Springer Berlin Heidelberg, 1982
ISBN 10: 3540112030 ISBN 13: 9783540112037
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 1 Alphabetical Bibliography.- 2 Subject Classification.- 3 List of Authors.
Published by Springer Berlin Heidelberg, 1985
ISBN 10: 3540152261 ISBN 13: 9783540152262
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 1 Alphabetical Bibliography.- 2 Subject Classification.- 3 List of Authors.
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Published by Leipzig, Baumgärtner,, 1828
Language: German
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Add to basket8°, Halblederband der Zeit. 1. Aufl. IV, 266 S. Name auf Vorsatz, Vorsätze und Titel etwas fleckig, Buchrücken etwas bestoßen, sonst schönes Ex. Sprache: Deutsch Gewicht in Gramm: 0.
Published by Springer Berlin Heidelberg, 1990
ISBN 10: 3540526870 ISBN 13: 9783540526872
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Add to basketCondition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even m.
Published by Springer Berlin Heidelberg, 1975
ISBN 10: 3540071776 ISBN 13: 9783540071778
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Add to basketCondition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Matroid theory has its origin in a paper by H. Whitney entitled On the abstract properties of linear dependence [35], which appeared in 1935. The main objective of the paper was to establish the essential (abstract) properties of the concepts of linear de.
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Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 1985, 1985
ISBN 10: 3540152261 ISBN 13: 9783540152262
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1 Alphabetical Bibliography.- 2 Subject Classification.- 3 List of Authors.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 412 pp. Englisch.
Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 1982, 1982
ISBN 10: 3540112030 ISBN 13: 9783540112037
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1 Alphabetical Bibliography.- 2 Subject Classification.- 3 List of Authors.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 360 pp. Englisch.
Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Jun 1975, 1975
ISBN 10: 3540071776 ISBN 13: 9783540071778
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Matroid theory has its origin in a paper by H. Whitney entitled 'On the abstract properties of linear dependence' [35], which appeared in 1935. The main objective of the paper was to establish the essential (abstract) properties of the concepts of linear dependence and independence in vector spaces, and to use these for the axiomatic definition of a new algebraic object, namely the matroid. Furthermore, Whitney showed that these axioms are also abstractions of certain graph-theoretic concepts. This is very much in evidence when one considers the basic concepts making up the structure of a matroid: some reflect their linear algebraic origin, while others reflect their graph-theoretic origin. Whitney also studied a number of important examples of matroids. The next major development was brought about in the forties by R. Rado's matroid generalisation of P. Hall's famous 'marriage' theorem. This provided new impulses for transversal theory, in which matroids today play an essential role under the name of 'independence structures', cf. the treatise on transversal theory by L. Mirsky [26J. At roughly the same time R.P. Dilworth estab lished the connection between matroids and lattice theory. Thus matroids became an essential part of combinatorial mathematics. About ten years later W.T. Tutte [30] developed the funda mentals of matroids in detail from a graph-theoretic point of view, and characterised graphic matroids as well as the larger class of those matroids that are representable over any field.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 120 pp. Englisch.
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Add to basketCondition: New. PRINT ON DEMAND pp. 412.
Published by Springer Berlin Heidelberg Jun 1975, 1975
ISBN 10: 3540071776 ISBN 13: 9783540071778
Language: English
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Matroid theory has its origin in a paper by H. Whitney entitled 'On the abstract properties of linear dependence' [35], which appeared in 1935. The main objective of the paper was to establish the essential (abstract) properties of the concepts of linear dependence and independence in vector spaces, and to use these for the axiomatic definition of a new algebraic object, namely the matroid. Furthermore, Whitney showed that these axioms are also abstractions of certain graph-theoretic concepts. This is very much in evidence when one considers the basic concepts making up the structure of a matroid: some reflect their linear algebraic origin, while others reflect their graph-theoretic origin. Whitney also studied a number of important examples of matroids. The next major development was brought about in the forties by R. Rado's matroid generalisation of P. Hall's famous 'marriage' theorem. This provided new impulses for transversal theory, in which matroids today play an essential role under the name of 'independence structures', cf. the treatise on transversal theory by L. Mirsky [26J. At roughly the same time R.P. Dilworth estab lished the connection between matroids and lattice theory. Thus matroids became an essential part of combinatorial mathematics. About ten years later W.T. Tutte [30] developed the funda mentals of matroids in detail from a graph-theoretic point of view, and characterised graphic matroids as well as the larger class of those matroids that are representable over any field. 120 pp. Englisch.
Published by Springer Berlin Heidelberg Apr 1985, 1985
ISBN 10: 3540152261 ISBN 13: 9783540152262
Language: English
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -1 Alphabetical Bibliography.- 2 Subject Classification.- 3 List of Authors. 412 pp. Englisch.
Published by Springer Berlin Heidelberg Mrz 1982, 1982
ISBN 10: 3540112030 ISBN 13: 9783540112037
Language: English
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -1 Alphabetical Bibliography.- 2 Subject Classification.- 3 List of Authors. 360 pp. Englisch.