Independence Theory in Combinatorics

Bryant, Victor; Perfect, Hazel

ISBN 10: 0412224305 / ISBN 13: 9780412224300

Edité par Chapman and Hall, 1980

Series: Chapman and Hall Mathematics Series (Closed). Num Pages: 156 pages, biography. BIC Classification: PBV. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 216 x 140 x 8. Weight in Grams: 211. . 1980. Paperback. . . . . N° de réf. du vendeur V9780412224300

Synopsis :

Combinatorics may very loosely be described as that branch of mathematics which is concerned with the problems of arranging objects in accordance with various imposed constraints. It covers a wide range of ideas and because of its fundamental nature it has applications throughout mathematics. Among the well-established areas of combinatorics may now be included the studies of graphs and networks, block designs, games, transversals, and enumeration problem s concerning permutations and combinations, from which the subject earned its title, as weil as the theory of independence spaces (or matroids). Along this broad front, various central themes link together the very diverse ideas. The theme which we introduce in this book is that of the abstract concept of independence. Here the reason for the abstraction is to unify; and, as we sh all see, this unification pays off handsomely with applications and illuminating sidelights in a wide variety of combinatorial situations. The study of combinatorics in general, and independence theory in particular, accounts for a considerable amount of space in the mathematical journais. For the most part, however, the books on abstract independence so far written are at an advanced level, -whereas the purpose of our short book is to provide an elementary in- troduction to the subject.

Détails bibliographiques

Titre : Independence Theory in Combinatorics
Éditeur : Chapman and Hall
Date d'édition : 1980
Reliure : Couverture souple
Etat : New