|
libcats.org
Simplicial complexes of graphsJakob JonssonA graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics, including commutative algebra, geometry, and knot theory. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory. As a byproduct, this volume also provides a loosely defined toolbox for attacking problems in topological combinatorics via discrete Morse theory. In terms of simplicity and power, arguably the most efficient tool is Forman's divide and conquer approach via decision trees; it is successfully applied to a large number of graph and digraph complexes. Ссылка удалена правообладателем ---- The book removed at the request of the copyright holder.
Популярные книги за неделю:
#3
Самодельные детали для сельского радиоприемникаАвторы: З.Б.Гинзбург, Ф.И.Тарасов.Категория: радиоэлектроника
1.40 Mb
#10
Вероятность и статистика. 10-11 классыБродский И.Л., Мешавкина О.С.Категория: M_Mathematics, MSch_School-level
1.24 Mb
Только что пользователи скачали эти книги:
#2
Строительная механикаКиселёв В.А.Категория: Engineering, Mechanics of elastic materials
7.63 Mb
#5
Приказ. О начале регулярной эксплуатации транспортных самолетов Ил-76 и Ил-76Т в предприятиях гражданской авиацииКатегория: Военная техника
6.63 Mb
#6
Древняя Русь в свете зарубежных источниковПод. ред. Е.А. МельниковойКатегория: Исторические
12.05 Mb
#9
Каталог почтовых марок 1857-1991. Россия, РСФСР, СССРВ.Б. ЗагорскийКатегория: КНИГИ ХОББИ и РАЗВЛЕЧЕНИЯ
139.85 Mb
|
|