Logo

Fractional Graph Theory: A Rational Approach to the Theory of Graphs

Large book cover: Fractional Graph Theory: A Rational Approach to the Theory of Graphs

Fractional Graph Theory: A Rational Approach to the Theory of Graphs
by

Publisher: Wiley
ISBN/ASIN: 0471178640
ISBN-13: 9780471178644
Number of pages: 167

Description:
The vast majority of concepts in graph theory are whole-number based. Invariants from chromatic number to arboricity only take on integer values. In this book the authors explore generalizations of core graph theory notions by allowing real values to substitute where normally only integers would be permitted. The aim is to prove "fractional analogues" of the theorems of traditional graph theory.

Home page url

Download or read it online for free here:
Download link
(1.2MB, PDF)

Similar books

Book cover: Graph TheoryGraph Theory
by - Tampere University of Technology
These lecture notes form the base text for a Graph Theory course. The text contains an introduction to basic concepts and results in graph theory, with a special emphasis put on the network-theoretic circuit-cut dualism.
(3261 views)
Book cover: Graph Theory With ApplicationsGraph Theory With Applications
by - Elsevier Science Ltd
A coherent introduction to graph theory, a textbook for advanced undergraduates or graduates in computer science and mathematics. A systematic treatment of the theory of graphs, Common proofs are described and illustrated with lots of exercises.
(12101 views)
Book cover: Digraphs: Theory, Algorithms and ApplicationsDigraphs: Theory, Algorithms and Applications
by - Springer
Digraphs presents a comprehensive survey of the study of directed graphs. It covers theoretical aspects with detailed proofs, and some algorithms and applications. The essential textbook and reference for graduate students and researchers.
(11226 views)
Book cover: Graph TheoryGraph Theory
by - Springer
Textbook on graph theory that covers the basics, matching, connectivity, planar graphs, colouring, flows, substructures in sparse graphs, Ramsey theory for graphs, hamiltonian cycles, random graphs, minors, trees, and WQO.
(11854 views)