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 Roberto Tamassia (ed.) - CRC Press
The Handbook provides a broad, up-to-date survey of the field of graph drawing. It covers topological and geometric foundations, algorithms, software systems, and visualization applications in business, education, science, and engineering.
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Textbook on graph theory that covers the basics, matching, connectivity, planar graphs, colouring, flows, substructures in sparse graphs, Ramsey theory for graphs, hamiltonian cycles, random graphs, minors, trees, and WQO.
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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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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.