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Pseudo-matroids and Cuts of Matroids

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Title: Pseudo-matroids and Cuts of Matroids
Description: This book is dedicated to the study of algebraic characteristics of some structures of matroid type. The notions of pseudo-matroids generated by mappings of matroids, G-mappings of binary matroids and semi-matroids are introduced. Some results on general matroid theory and an algorithmic solution for exponential complexity of problems with enumeration of all non-isomorphic binary matroids are found. The theoretical results are applied to the solution of some practical problems. This monograph is beneficial to specialists in discrete mathematics and matroids, information transmission technologies, as well as students and post-graduates.
Authors: Gizunov, Sergey A., Lyamin, V. N.
Resource Type: eBook.
Subjects: Combinatorial designs and configurations, Matroids, Graph theory, Algebras, Linear, Linear dependence (Mathematics)
Categories: MATHEMATICS / General
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1345682
RelevancyScore: 1070
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
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  Data: Pseudo-matroids and Cuts of Matroids
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This book is dedicated to the study of algebraic characteristics of some structures of matroid type. The notions of pseudo-matroids generated by mappings of matroids, G-mappings of binary matroids and semi-matroids are introduced. Some results on general matroid theory and an algorithmic solution for exponential complexity of problems with enumeration of all non-isomorphic binary matroids are found. The theoretical results are applied to the solution of some practical problems. This monograph is beneficial to specialists in discrete mathematics and matroids, information transmission technologies, as well as students and post-graduates.
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  Data: <searchLink fieldCode="AR" term="%22Gizunov%2C+Sergey+A%2E%22">Gizunov, Sergey A.</searchLink><br /><searchLink fieldCode="AR" term="%22Lyamin%2C+V%2E+N%2E%22">Lyamin, V. N.</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Combinatorial+designs+and+configurations%22">Combinatorial designs and configurations</searchLink><br /><searchLink fieldCode="DE" term="%22Matroids%22">Matroids</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Algebras%2C+Linear%22">Algebras, Linear</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+dependence+%28Mathematics%29%22">Linear dependence (Mathematics)</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 511.6
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Combinatorial designs and configurations
        Type: general
      – SubjectFull: Matroids
        Type: general
      – SubjectFull: Graph theory
        Type: general
      – SubjectFull: Algebras, Linear
        Type: general
      – SubjectFull: Linear dependence (Mathematics)
        Type: general
    Titles:
      – TitleFull: Pseudo-matroids and Cuts of Matroids
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Gizunov, Sergey A.
      – PersonEntity:
          Name:
            NameFull: Lyamin, V. N.
      – PersonEntity:
          Name:
            NameFull: Gizunov, Sergey A.
      – PersonEntity:
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            NameFull: Lyamin, V. N.
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2016
            – D: 08
              M: 09
              Type: profile
              Y: 2016
          Identifiers:
            – Type: isbn-print
              Value: 9781634848817
            – Type: isbn-electronic
              Value: 9781634848978
          Titles:
            – TitleFull: Pseudo-matroids and Cuts of Matroids
              Type: main
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