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Graph Theory Books

Graph Theory Books

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.

Descriptive Complexity, Canonisation, and Definable Graph Structure Theory

This note covers the following topics: Background from Graph Theory and Logic, Descriptive Complexity, Treelike Decompositions, Definable Decompositions, Graphs of Bounded Tree Width, Ordered Treelike Decompositions, 3-Connected Components, Graphs Embeddable in a Surface, Definable Decompositions of Graphs with Excluded Minors, Quasi-4-Connected Components, K5-Minor Free Graphs, Completions of Pre-Decompositions, Planar Graphs, Decompositions of Almost Embeddable Graphs

Author(s):

s 495Pages

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):

s 120Pages

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):

s 64Pages

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):

s 123Pages

Graph Theory Lecture notes by Jeremy L Martin

This note is an introduction to graph theory and related topics in combinatorics. This course material will include directed and undirected graphs, trees, matchings, connectivity and network flows, colorings, and planarity.

Author(s):

s NAPages

Graph Theory And Combinatorics

In recent years, graph theory has established itself as an important mathematical tool in a wide variety of subjects, ranging from operational research and chemistry to genetics and linguistics, and from electrical engineering and geography to sociology and architecture. Topics covered includes: Graphs and Subgraphs, Connectivity and Euler Tours, Matchings and Edge Colouring, Independent Sets and Cliques, Combinatorics.

Author(s):

s 167Pages

An Introduction to Combinatorics and Graph Theory

This book explains the following topics: Inclusion-Exclusion, Generating Functions, Systems of Distinct Representatives, Graph Theory, Euler Circuits and Walks, Hamilton Cycles and Paths, Bipartite Graph, Optimal Spanning Trees, Graph Coloring, Polya–Redfield Counting.

Author(s):

s 153Pages

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):

s 110Pages

A Course in Graph Theory

Graph theory began in 1736 when the Swiss mathematician Euler solved Konigsberg seven-bridge problem. It has been two hundred and eighty years till now.

Author(s):

s NAPages

Fractional Graph Theory

Graph theory is one of the branches of modern mathematics having experienced a most impressive development in recent years. This book will draw the attention of the combinatorialists to a wealth of new problems and conjectures. Topics covered includes: General Theory: Hypergraphs, Fractional Matching, Fractional Coloring, Fractional Edge Coloring, Fractional Arboricity and Matroid Methods, Fractional Isomorphism, Fractional Odds and Ends.

Author(s):

s 167Pages

Supplementary Notes For Graph Theory I

The focus of this book is on applications and the aim is to improve the problem solving skills of the students through numerous well-explained examples. Topics covered includes: General Theory, Shortest Paths, Euler Tours and The Chinese Postman Problem, Spanning Trees, Matchings and Coverings, Benzenoids, Network Flow and Electrical Network.

Author(s):

s 132Pages

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):

s 173Pages

Graph Theory Notes

This note covers the following topics:  Graphs and Subgraphs, Ramsey Numbers, Operations on graphs, Connectness and components, Eulerian graphs, Hamiltonian graphs and Trees, Matchings and Planarity, Colourability.

Author(s):

s 89Pages

Lecture Notes On Graph Theory

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.

Author(s):

s 100Pages

Graph Theory by Keijo Ruohonen

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.

Author(s):

s 114Pages

Diestel,Graph Theory (3rd ed'n)

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Graph Theory with Applications

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.

Author(s):

s NAPages

Graph Theory by Vadim Lozin

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.

Author(s):

s 49Pages

Lectures on Spectral Graph Theory Fan R. K. Chung

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

Author(s):

s 25Pages

Basic Concepts in Graph Theory

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.

Author(s):

s 54Pages

Notes on combinatorial graph theory

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.

Author(s):

s 23Pages

Interactive Graph theory tutorials

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages