Graph theory is one of the fastest growing branches of
mathematics. Until recently, it was regarded as a branch of
combinatorics and was best known by the famous four-color theorem
stating that any map can be colored using only four colors such
that no two bordering countries have the same color. Now graph
theory is an area of its own with many deep results and beautiful
open problems. Graph theory has numerous applications in almost
every field of science and has attracted new interest because of
its relevance to such technological problems as computer and
telephone networking and, of course, the internet. In this new book
in the Johns Hopkins Studies in the Mathematical Science series,
Bojan Mohar and Carsten Thomassen look at a relatively new area of
graph theory: that associated with curved surfaces.
Graphs on surfaces form a natural link between discrete and
continuous mathematics. The book provides a rigorous and concise
introduction to graphs on surfaces and surveys some of the recent
developments in this area. Among the basic results discussed are
Kuratowski's theorem and other planarity criteria, the Jordan Curve
Theorem and some of its extensions, the classification of surfaces,
and the Heffter-Edmonds-Ringel rotation principle, which makes it
possible to treat graphs on surfaces in a purely combinatorial way.
The genus of a graph, contractability of cycles, edge-width, and
face-width are treated purely combinatorially, and several results
related to these concepts are included. The extension by Robertson
and Seymour of Kuratowski's theorem to higher surfaces is discussed
in detail, and a shorter proof is presented. The book concludes
with a survey of recent developments on coloring graphs on
surfaces.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
