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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 - Matchings
Graph Theory - Matchings - A matching graph is a subgraph of...
- Graph Theory - Basic Properties
Graph Theory - Basic Properties - Graphs come with various...
- Graph Theory - Introduction
This course provides a complete introduction to Graph Theory algorithms in computer science. Topics covered in these videos include: how to store and represent graphs on a computer; common graph theory problems seen in the wild; famous graph traversal algorithms (DFS & BFS); Dijkstra's shortest path algorithm (both the lazy and eager version ...
Understand the basic concepts of graph theory. Apply graph theory algorithms to solve real-world problems. Use graph theory to model and analyze complex systems. Discover the different graph theory tools and technologies. Master the different graph theory best practices.
graphs, matchings of graphs, flows on networks (networks are graphs with extra data), and take a closer look at certain types of graphs such as trees and tournaments.
GraphTea is available for free for these operating system. Please click on related file to download the installer: Windows — GraphTea.exe. Windows (Newer Version, To be tested) — GraphTea2.exe. Mac OS X — GraphTea.dmg. Linux Debian, Ubuntu — GraphTea.deb.
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.
1 Introduction. These brief notes include major de nitions and theorems of the graph theory lecture held by Prof. Maria Axenovich at KIT in the winter term 2013/14. We neither prove nor motivate the results and de nitions. You can look up the proofs of the theorems in the book \Graph Theory" by Reinhard Diestel [4].