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Matveev, Andrey O. Symmetric Cycles ISBN 13: 9789814968812

Symmetric Cycles - Hardcover

 
9789814968812: Symmetric Cycles
  • PublisherJenny Stanford Publishing
  • Publication date2023
  • ISBN 10 9814968811
  • ISBN 13 9789814968812
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages338

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Andrey O. Matveev
Published by Jenny Stanford Publishing, 2023
ISBN 10: 9814968811 ISBN 13: 9789814968812
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Hardcover. Condition: new. Hardcover. This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from arrangements of straight lines crossing a common point on a piece of paper. It reveals some beautiful and earlier-hidden fragments in the true foundations of discrete mathematics. The central observation made and discussed in the book from various viewpoints consists in that 2t subsets of a finite t-element set Et, which form in a natural way a cyclic structure (well, just t subsets that are the vertices of a path in the cycle suffice), allow us to construct any of 2t subsets of the set Et by means of a more than elementary voting procedure expressed in basic linear algebraic terms. The monograph will be of interest to researchers, students, and readers in the fields of discrete mathematics, theoretical computer science, Boolean function theory, enumerative combinatorics and combinatorics on words, combinatorial optimization, coding theory, and discrete and computational geometry. The monograph will be of interest for researchers and students in the fields of discrete mathematics, theoretical computer science, Boolean function theory, enumerative combinatorics and combinatorics on words, combinatorial optimization, coding theory, discrete and computational geometry, etc. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9789814968812

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Matveev, Andrey O.
Published by Jenny Stanford Publishing, 2023
ISBN 10: 9814968811 ISBN 13: 9789814968812
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Matveev, Andrey O.
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ISBN 10: 9814968811 ISBN 13: 9789814968812
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Matveev, Andrey O.
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ISBN 10: 9814968811 ISBN 13: 9789814968812
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Andrey O. Matveev
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ISBN 10: 9814968811 ISBN 13: 9789814968812
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Hardcover. Condition: new. Hardcover. This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from arrangements of straight lines crossing a common point on a piece of paper. It reveals some beautiful and earlier-hidden fragments in the true foundations of discrete mathematics. The central observation made and discussed in the book from various viewpoints consists in that 2t subsets of a finite t-element set Et, which form in a natural way a cyclic structure (well, just t subsets that are the vertices of a path in the cycle suffice), allow us to construct any of 2t subsets of the set Et by means of a more than elementary voting procedure expressed in basic linear algebraic terms. The monograph will be of interest to researchers, students, and readers in the fields of discrete mathematics, theoretical computer science, Boolean function theory, enumerative combinatorics and combinatorics on words, combinatorial optimization, coding theory, and discrete and computational geometry. The monograph will be of interest for researchers and students in the fields of discrete mathematics, theoretical computer science, Boolean function theory, enumerative combinatorics and combinatorics on words, combinatorial optimization, coding theory, discrete and computational geometry, etc. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9789814968812

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Matveev, Andrey O.
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Matveev, Andrey O.
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Hardcover. Condition: Brand New. 400 pages. 9.00x6.00x0.96 inches. In Stock. This item is printed on demand. Seller Inventory # __9814968811

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