Fractional Graph Theory: A Rational Approach to the Theory of Graphs
by Daniel Ullman, Edward Scheinerman
Publisher: Wiley 2008
Number of pages: 167
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:
by Yanpei Liu - Kapa & Omega
As an introductory book, this book contains the elementary materials in map theory, including embeddings of a graph, abstract maps, duality, orientable and non-orientable maps, isomorphisms of maps and the enumeration of rooted or unrooted maps.
by Madhumangal Pal - arXiv
Intersection graphs are important in both theoretical as well as application point of view. Different type of intersection graphs are defined, among them interval, circular-arc, permutation, trapezoid, chordal, disk, circle graphs are more important.
by J.A. Bondy and U.S.R. Murty - 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.
by Jorgen Bang-Jensen, Gregory Gutin - 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.