New Frontiers in Graph Theory
by Yagang Zhang (ed.)
Publisher: InTech 2012
Number of pages: 526
Nowadays, graph theory is an important analysis tool in mathematics and computer science. Because of the inherent simplicity of graph theory, it can be used to model many different physical and abstract systems such as transportation and communication networks, models for business administration, political science, and psychology and so on.
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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.
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.
Contents: Introduction; The Basics; Tree; Multigraph; Extremal graph theory; Graph Traversal; Analysis; Example Applications of Graph Theory; Travelling salesman problem; Route inspection problem; Hamiltonian path problem; etc.
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.