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Graph theory notes by UManitoba
This PDF covers the following topics related to Graph Theory : Graph theory basics, Cycles and circuits, Trees and forests, Connectivity and Menger’s theorems, Matchings, covers, Graph coloring, Planar graphs, Decompositions, factorizations, and graceful trees, Ramsey theory, Extremal graph theory, Cage graphs, Digraphs and Tournaments, Hypergraphs, The reconstruction conjecture, Algebraic graph theory.
Author(s): David S. Gunderson, University of Manitoba
712 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
This PDF book covers the following topics related to Graph Theory : Introduction, Paths and Circuits, Trees and Fundamental Circuits, Cut-sets and Cut-vertices, Planar and Dual Graphs, Vector Spaces of a Graph, Matrix Representation of Graphs, Coloring, Covering, and Partitioning, Directed Graphs, Enumeration of Graphs, Graph Theoretic Algorithms and Computer, Graphs in Switching and Coding Theory, Electrical Network Analysis by Graph Theory, Graph Theory in Operations Research, Survey of Other Applications, Binet-cauchy Theorem, Nullity of a Matrix and Sylvester’s Law.
Author(s): Narsingh Deo
598 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
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