2012 Ninth International Symposium on Voronoi Diagrams in Science and Engineering (ISVD)

Format:

Book

Author/Creator:

International Symposium on Voronoi Diagrams in Science and Engineering, author.

Contributor:

IEEE Staff, Contributor.

Language:

English

Subjects (All):

Engineering mathematics--Congresses.

Engineering mathematics.

Physical Description:

1 online resource (xii, 150 pages) : illustrations

Place of Publication:

[Place of publication not identified] IEEE 2012

Language Note:

English

Summary:

A geometric graph G is a graph whose vertices are points in the plane and whose edges are line segments weighted by the Euclidean distance between their endpoints. In this setting, a t-spanner of G is a connected spanning subgraph G' with the property that for every pair of vertices x, y, the shortest path from x to y in G' has weight at most L ≥ 1 times the shortest path from x to y in G. The parameter t is commonly referred to as the spanning ratio or the stretch factor. Among the many beautiful properties that Delaunay graphs possess, a constant spanning ratio is one of them. We provide a comprehensive overview of various results concerning the spanning ratio among other properties of different types of Delaunay graphs and their subgraphs.

Notes:

Bibliographic Level Mode of Issuance: Monograph