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Graph Theory Lecture Notes
This note explains the following topics: Graphs, Multi-Graphs, Simple Graphs, Graph Properties, Algebraic Graph Theory, Matrix Representations of Graphs, Applications of Algebraic Graph Theory: Eigenvector Centrality and Page-Rank, Trees, Algorithms and Matroids, Introduction to Linear Programming, An Introduction to Network Flows and Combinatorial Optimization, Random Graphs, Coloring and Algebraic Graph Theory.
Author(s): Christopher Griffin
173 Pages 
Graph Theory Lecture notes by D Yogeshwaran
This note explains introduction to graphs, The very basics, Spanning trees, Extremal graph theory, Matchings, covers and factor, Flows on networks, vertex and edge connectivity, Chromatic number and polynomials, Graphs and matrices and planar graphs.
Author(s): D Yogeshwaran Indian Statistical Institute, Bangalore
83 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
Extremal Graph Theory for Book Embeddings
This note describes the following topics: Book-Embeddings and Pagenumber, Book-Embeddings of Planar Graphs, Extremal Graph Theory, Pagenumber and Extremal Results, Maximal Book-Embeddings.
Author(s): Jessica McClintock
64 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