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 Reinhard Diestel - Springer
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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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.
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This comprehensive text covers the important elementary topics of graph theory and its applications. It presents a variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics.
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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.