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This tutorial offers a brief introduction to the fundamentals of graph theory. Written in a reader-friendly style, it covers the types of graphs, their properties, trees, graph traversability, and the concepts of coverings, coloring, and matching.
- Graph Theory - Introduction
Graph Theory - Introduction - In the domain of mathematics...
- Graph Theory - Coverings
Graph Theory - Coverings - A covering graph is a subgraph...
- Graph Theory - Quick Guide
Graph Theory - Quick Guide - In the domain of mathematics...
- Graph Theory - Connectivity
Graph Theory - Connectivity - Whether it is possible to...
- Graph Theory - Trees
Graph Theory - Trees - Trees are graphs that do not contain...
- Graph Theory - Fundamentals
Graph Theory - Fundamentals - A graph is a diagram of points...
- Graph Theory - Introduction
graphs in graph theory stands up on some basic terms such as point, line, vertex, edge, degree of vertices, properties of graphs, etc. Here, in this chapter, we will cover these fundamentals of graph theory. Point A point is a particular position in a one-dimensional, two-dimensional, or three-dimensional space.
In this course, you will learn the basics of graph theory, including the structure of graphs, algorithms for finding paths and cycles, and techniques for analyzing the properties of graphs. You will also have the opportunity to apply your knowledge to real-world problems, such as analyzing social networks or designing routing algorithms for ...
The aim of this course is to study graphs in the abstract sense, and to introduce the fundamental concepts, tools, tricks and results about them. Some notation: Given a graph G, we write V (G) for the vertex set, and E(G) for the edge set. For an edge fx; yg 2 E(G), we usually write xy, and we consider yx to be the same edge.
Graph Theory. Lecture by Prof. Dr. Maria Axenovich. Lecture notes by Monika Csikos, Daniel Hoske and Torsten Ueckerdt. Contents. Preliminaries. Matchings. Connectivity. Planar graphs. Colorings. Extremal graph theory. Ramsey theory. Flows. Random graphs. Hamiltonian cycles. References. Index. 4. 17. 25. 36. 52. 64. 75. 86. 93. 99. 101. 102.
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23 Φεβ 2022 · 1.3G. xii, 449 pages : 23 cm. Includes bibliographical references (pages 425-436) and indexes. Introduction -- Degrees -- Isomorphic graphs -- Trees -- Connectivity -- Traversability -- Digraphs -- Matchings and factorization -- Planarity -- Coloring -- Ramsey numbers -- Distance -- Domination.
