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Graph Theory and Applications
This note covers the following topics: Basic theory about graphs: Connectivity, Paths, Trees, Networks and flows, Eulerian and Hamiltonian graphs, Coloring problems and Complexity issues, A number of applications, Large scale problems in graphs, Similarity of nodes in large graphs, Telephony problems and graphs, Ranking in large graphs, Clustering of large graphs.
Author(s): Paul Van Dooren
110 Pages 
A Simple Introduction to Graph Theory
This note covers basics, Proofs, Constructions, Algorithms and applications, Bipartite graphs and trees, Eulerian and Hamiltonian graphs, Coloring, Planar graphs, Digraphs and connectivity.
Author(s): Brian Heinold
134 Pages
Graph Theory by Christopher Griffin
This note covers preface and introduction to graph theory, Some definitions and theorems, More definitions and theorems, Some algebraic graph theory, Applications of algebraic graph theory, Trees, Algorithms and matroids, A brief introduction to linear programming, An introduction to network flows and combinatorial optimization, A short introduction to random graphs, Coloring, Some more algebraic graph theory.
Author(s): Christopher Griffin
174 Pages
Graph Theory by Prof. Dr. Maria Axenovich
This PDF book covers the following topics related to Graph Theory :Preliminaries, Matchings, Connectivity, Planar graphs, Colorings, Extremal graph theory, Ramsey theory, Flows, Random graphs, Hamiltonian cycles.
Author(s): Prof. Dr. Maria Axenovich
104 Pages
Graph Theory by Gordon College
This note explains the following topics: Theorems, Representations of Graphs: Data Structures, Traversal: Eulerian and Hamiltonian Graphs, Graph Optimization, Planarity and Colorings.
Author(s): Gordon College
120 Pages
Graph Theory Lecture Notes by NPTEL
The intension of this note is to introduce the subject of graph theory to computer science students in a thorough way. This note will cover all elementary concepts such as coloring, covering, hamiltonicity, planarity, connectivity and so on, it will also introduce the students to some advanced concepts.
Author(s): NPTEL
NA Pages
Structural Graph Theory Lecture Notes
This note covers the following topics: Immersion and embedding of 2-regular digraphs, Flows in bidirected graphs, Average degree of graph powers, Classical graph properties and graph parameters and their definability in SOL, Algebraic and model-theoretic methods in constraint satisfaction, Coloring random and planted graphs: thresholds, structure of solutions and algorithmic hardness.
Author(s): Andrew Goodall
123 Pages