Introductory Map Theory
by Yanpei Liu
Publisher: Kapa & Omega 2010
Number of pages: 503
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, particularly, the joint tree representation of an embedding of a graph on two dimensional manifolds, which enables one to make the complication much simpler on map enumeration.
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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.
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.
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.