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Graph Theory eBooks . We hope mathematician or person who’s interested in mathematics like these books.

Graph Theory written by Keijo Ruohonen
. This is an other great mathematics book cover the following topics.

1. DEFINITIONS AND FUNDAMENTAL CONCEPTS 1.1 Definitions
1.2 Walks, Trails, Paths, Circuits, Connectivity, Components
1.3 Graph Operations
1.4 Cuts
1.5 Labeled Graphs and Isomorphism

2. TREES 2.1 Trees and Forests
2.2 (Fundamental) Circuits and (Fundamental) Cut Sets

4. MATRICES AND VECTOR SPACES OF GRAPHS 4.1 Matrix Representation of Graphs
4.2 Cut Matrix
4.3 Circuit Matrix
4.4 An Application: Stationary Linear Networks
4.5 Matrices over GF(2) and Vector Spaces of Graphs

5. GRAPH ALGORITHMS 5.1 Computational Complexity of Algorithms
5.2 Reachability: Warshall’s Algorithm
5.3 Depth-First and Breadth-First Searches
5.4 The Lightest Path: Dijkstra’s Algorithm
5.5 The Lightest Path: Floyd’s Algorithm
5.6 The Lightest Spanning Tree: Kruskal’s and Prim’s Algorithms
5.7 The Lightest Hamiltonian Circuit (Travelling Salesman’s Problem): The Annealing Algorithm and the Karp–Held Heuristics
5.8 Maximum Matching in Bipartite Graphs: The Hungarian Algorithm
5.9 Maximum Flow in a Transport Network: The Ford–Fulkerson Algorithm

6. DRAWING GRAPHS 6.1 Planarity and Planar Embedding
6.2 The Davidson–Harel Algorithm

7. MATROIDS 7.1 Hereditary Systems
7.2 The Circuit Matroid of a Graph
7.3 Other Basic Matroids
7.4 Greedy Algorithm
7.5 The General Matroid
7.6 Operations on Matroids