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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): Edward R. Scheinerman and Daniel H. Ullman
167 Pages 
Introduction to graph theory and basic algorithms
This book contains below topics, Lets Define the graph of ndimensional cube by following, Adjacency matrix is symmetrical for undirected graph, Adjacency matrix always square matrix, Incidence matrix is rectangular matrix with dimensions V E, A graph contains a cycle iff it contains a simple cycle Proof, If a graph contains a simple cycle then it obviously contains a cycle, Necessarity Holds from theorem, Laplacian matrix is symmetrical matrix, Laplacian matrix is square matrix, Laplacian matrix is degenerate matrix, rk L G n, the sum of rows of the matrix K equals.
Author(s): Mikhail Tuzhilin, Dong Zhang
88 Pages
An introduction to graph theory
This book contains below topics, Simple graphs, Multigraphs, Digraphs and multidigraphs, Trees and arborescences, Colorings, Independent sets, Matchings, Networks and flows, More about paths.
Author(s): Darij Grinberg
454 Pages
Notes on Elementary Spectral Graph Theory Applications to Graph Clustering Using Normalized Cuts
This note contains below topics, GRAPHS AND GRAPH LAPLACIANS, BASIC F ACTS, SPECTRAL GRAPH DRA WING, SPECTRAL GRAPH DRA WING Example.
Author(s): Jean Gallier
76 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 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
An Introduction to Combinatorics and Graph Theory
This book explains the following topics, InclusionExclusion, Generating Functions, Systems of Distinct Representatives, Graph Theory, Euler Circuits and Walks, Hamilton Cycles and Paths, Bipartite Graph, Optimal Spanning Trees, Graph Coloring, PolyaRedfield Counting.
Author(s): David Guichard
153 Pages
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): Paul Van Dooren
110 Pages
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 wellexplained 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): Hjalte Wedel Vildhoj and David Kofoed Wind
132 Pages