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

by Daniel Ullman, Edward Scheinerman

**Publisher**: Wiley 2008**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.

Download or read it online for free here:

**Download link**

(1.2MB, PDF)

## Similar books

**Introduction to Graphs**

by

**Alexander K. Hartmann, Martin Weigt**-

**arXiv**

Graph theory provides fundamental concepts for many fields of science like statistical physics, network analysis and theoretical computer science. Here we give a pedagogical introduction to graph theory, divided into three sections.

(

**9339**views)

**Graph Theory Lessons**

by

**Christopher P. Mawata**-

**Math Cove**

This comprehensive text covers the important elementary topics of graph theory and its applications. It presents a variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics.

(

**1084**views)

**Graph Theory**

by

**Keijo Ruohonen**-

**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.

(

**5393**views)

**Lecture Notes on Graph Theory**

by

**Tero Harju**-

**University of Turku**

These are introductory lecture notes on graph theory. Contents: Introduction (Graphs and their plane figures, Subgraphs, Paths and cycles); Connectivity of Graphs; Tours and Matchings; Colourings; Graphs on Surfaces; Directed Graphs.

(

**10956**views)