Kniha Independence Theory in Combinatorics V. Bryant

Independence Theory in Combinatorics

An Introductory Account with Applications to Graphs and Transversals

Autor: V. Bryant
Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Chapman and Hall
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 147
Combinatorics may very loosely be described as that branch of mathematics which is concerned with th...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
1980
Stránek
144
EAN
9780412224300
ISBN
0412224305
Enbook ID
02166251
Vydavatel
Hmotnost
211
Rozměry
140 x 216 x 9

Kompletní popis

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.

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