Brown Discrete Structures and Their Interactions

1. Auflage 2013
ISBN: 978-1-4822-0379-0
Verlag: Taylor & Francis
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 224 Seiten

Reihe: Discrete Mathematics and Its Applications

This text is intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory. The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how the discrete structures have important applications in many areas inside and outside of combinatorics. He also shows how to recognize valuable research connections through these structures.

Autoren/Hrsg.

Brown, Jason I.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Betriebssysteme
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

Introduction. Discrete Structures—A Common Framework. Graphs and Directed Graphs. Preorders and Partial Orders. Hypergraphs. Complexes and Multicomplexes. Research Problems. Bibliography. Selected Solutions. Appendices. Index.