Random Geometric Graphs (Hardcover) (ISBN-13: 9780198506263)

This monograph provides and explains the mathematics behind geometric graph theory, which studies the properties of a graph that consists of nodes placed in Euclidean space so that edges can be added to connect points that are close to one another. For example, a collection of trees scattered in a forest and the disease that is passed between them, a set of nests of animals or birds on a region and the communication between them or communication between communications stations or nerve cells. Aimed at graduate students and researchers in probability, statistics, combinatorics and graph theory including computer scientists, it covers topics such as: technical tools, edge and component counts, vertex degrees, clique and chromatic number, and connectivity. Applications of this theory are used in the study of neural networks, spread of disease, astrophysics and spatial statistics.

Author: Mathew Penrose
ISBN-10: 0198506260
ISBN-13: 9780198506263
Publisher: Oxford University Press, USA
Language: English
Published: 07/03/2003
Pages: 344
Format: Hardcover
Weight: 1.38lbs
Size: 9.42h x 6.26w x 1.08d

Review Citation(s):
Choice 04/01/2004 pg. 1511