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This section contains free e-books and guides on Graph Theory, some of the resources in this section can be viewed online and some of them can be downloaded.

Graph Theory Books
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Lecture Notes On Graph Theory

PDF | 100 Pages | English
This note covers the following topics: Connectivity of Graphs, Eulerian graphs, Hamiltonian graphs, Matchings, Edge colourings, Ramsey Theory, Vertex colourings, Graphs on Surfaces and Directed Graphs.

 
Graph Theory by Keijo Ruohonen

PDF | 114 Pages | English
This note contains an introduction to basic concepts and results in graph theory, with a special emphasis put on the network-theoretic circuit-cut dualism.

 
Diestel,Graph Theory (3rd ed'n)
Graph Theory with Applications

Online | NA Pages | English
The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. This note covers the following topics: Graphs and Subgraphs, Trees, Connectivity, Euler Tours and Hamilton Cycles, Matchings, Edge Colourings, Independent Sets and Cliques, Vertex Colourings, Planar Graphs, Directed Graphs, Networks, The Cycle Space and Bond Space.

 
Graph Theory by Vadim Lozin

PDF | 49 Pages | English
This note covers the following topics: Modular decomposition and cographs, Separating cliques and chordal graphs, Bipartite graphs, Trees, Graph width parameters, Perfect Graph Theorem and related results, Properties of almost all graphs, Extremal Graph Theory, Ramsey’s Theorem with variations, Minors and minor closed graph classes.

 
Lectures on Spectral Graph Theory Fan R. K. Chung

PDF | 25 Pages | English
This note covers the following topics: Eigenvalues and the Laplacian of a graph, Isoperimetric problems, Diameters and eigenvalues, Eigenvalues and quasi-randomness.

 
Basic Concepts in Graph Theory

PDF | 54 Pages | English
This note covers the following topics: Basic Concepts in Graph Theory , Random Graphs, Equivalence relation, Digraphs, Paths, and Subgraphs, Trees , Rates of Growth and Analysis of Algorithms.

 
Notes on combinatorial graph theory

PDF | 23 Pages | English
This note covers the following topics: Definitions for graphs, Exponential generating functions, egfs for labelled graphs, Unlabelled graphs with n nodes and Probability of connectivity 1.

 
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