Lecture Notes on Graph Theory
by Tero Harju
Publisher: University of Turku 2011
Number of pages: 100
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.
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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.
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This is a book about some currently popular topics such as exponential algorithms, fixed-parameter algorithms and algorithms using decomposition trees of graphs. For this last topic we found it necessary to include a chapter on graph classes.