Introduction to Graphs
by Alexander K. Hartmann, Martin Weigt
Publisher: arXiv 2006
Number of pages: 45
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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by Daniel Ullman, Edward Scheinerman - Wiley
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.
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 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 Yanpei Liu - Kapa & Omega
As an introductory book, 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.