- published: 05 Mar 2016
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In computer science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from mathematics.
A graph data structure consists of a finite (and possibly mutable) set of vertices or nodes or points, together with a set of unordered pairs of these vertices for an undirected graph or a set of ordered pairs for a directed graph. These pairs are known as edges, arcs, or lines for an undirected graph and as arrows, directed edges, directed arcs, or directed lines for a directed graph. The vertices may be part of the graph structure, or may be external entities represented by integer indices or references.
A graph data structure may also associate to each edge some edge value, such as a symbolic label or a numeric attribute (cost, capacity, length, etc.).
The basic operations provided by a graph data structure G usually include:
adjacent
(G, x, y): tests whether there is an edge from the vertices x to y;neighbors
(G, x): lists all vertices y such that there is an edge from the vertices x to y;In computer science, a data structure is a particular way of organizing data in a computer so that it can be used efficiently. Data structures can implement one or more particular abstract data types (ADT), which are the means of specifying the contract of operations and their complexity. In comparison, a data structure is a concrete implementation of the contract provided by an ADT.
Different kinds of data structures are suited to different kinds of applications, and some are highly specialized to specific tasks. For example, relational databases most commonly use B-tree indexes for data retrieval, while compiler implementations usually use hash tables to look up identifiers.
Data structures provide a means to manage large amounts of data efficiently for uses such as large databases and internet indexing services. Usually, efficient data structures are key to designing efficient algorithms. Some formal design methods and programming languages emphasize data structures, rather than algorithms, as the key organizing factor in software design. Storing and retrieving can be carried out on data stored in both main memory and in secondary memory.
Chapter 51 Introduction to Graphs in Data Structure Hindi
Graph Theory in Data Structure(Hindi, English) with Example
Graphs - Data Structures in 5 Minutes
Graph Data Structure 4. Dijkstra’s Shortest Path Algorithm
Algorithms: Graph Search, DFS and BFS
Graph Data Structure Intro (inc. adjacency list, adjacency matrix, incidence matrix)
Data Structures - Trees and Graphs
Graph Data Structure 1. Terminology and Representation (algorithms)
Breadth First Search Algorithm
Graphs: Representation
Graph Theory in Data Structure(Hindi, English) with Example for students of IP University Delhi and Other Universities, Engineering, MCA, BCA, B.Sc, M.Sc Colleges.
Introduction to graph theory terminology. The pace is very fast, so this is geared for those who have had prior exposure to the content. Second installment of Data Structures in 5 Minutes. For clearer photos of the whiteboard: Graphs Photo 1: http://i1160.photobucket.com/albums/q499/dicksontsai/Public%20photos/Data%20Structures%20in%205%20Minutes/IMG_2591_zps8b37b878.jpg Graphs Photo 2: http://i1160.photobucket.com/albums/q499/dicksontsai/Public%20photos/Data%20Structures%20in%205%20Minutes/IMG_2592_zpsec253f75.jpg Several comments: * The top of the adjacency matrix got cut off, but it should be C D E F. * Pseudocode for DFS and BFS can be easily searched on the Internet. Choosing which vertex to explore first is arbitrary. The important distinction is searching deeply vs. searching one ...
This is the fourth in a series of videos about the graph data structure. This is an explanation of Dijkstra’s algorithm for finding the shortest path between one vertex in a graph and another. Indeed, this explains how Dijkstra’s shortest path algorithm generates a set of information that includes the shortest paths from a starting vertex and every other vertex in the graph. It also mentions why Dijkstra’s shortest path algorithm is an example of a greedy algorithm.
Learn the basics of graph search and common operations; Depth First Search (DFS) and Breadth First Search (BFS). This video is a part of HackerRank's Cracking The Coding Interview Tutorial with Gayle Laakmann McDowell. http://www.hackerrank.com/domains/tutorials/cracking-the-coding-interview?utm_source=video&utm;_medium=youtube&utm;_campaign=ctci
Graphs are collections of things and the relationships or connections between them. The data in a graph are called nodes or vertices. The connections between the nodes are called edges. See how to represent an adjacency list, adjacency matrix, and incidence matrix in JavaScript. 🐦 Beau Carnes on Twitter: https://twitter.com/carnesbeau ⭐JavaScript Tutorials Playlists⭐ ▶JavaScript Basics: https://www.youtube.com/playlist?list=PLWKjhJtqVAbk2qRZtWSzCIN38JC_NdhW5 ▶Data Structures and Algorithms: https://www.youtube.com/playlist?list=PLWKjhJtqVAbkso-IbgiiP48n-O-JQA9PJ ▶Design Patterns: https://www.youtube.com/playlist?list=PLWKjhJtqVAbnZtkAI3BqcYxKnfWn_C704 ▶ES6: https://www.youtube.com/playlist?list=PLWKjhJtqVAbljtmmeS0c-CEl2LdE-eR_F ▶Clean Code: https://www.youtube.com/playlist?list=PLWKjhJt...
This is the first in a series of videos about the graph data structure. It mentions the applications of graphs, defines various terminology associated with graphs, and describes how a graph can be represented programmatically by means of adjacency lists or an adjacency matrix.
This is one of the important Graph traversal technique. BFS is based on Queue data structure. Analysis: The time complexity of BFS using Adjacency list is O(V + E) where V & E are the vertices and edges of the graph respectively.
Table of Contents: 00:18 - Graphs vs. Representations 00:43 - Adjacency Matrix 01:16 - Weighted Graph Matrices 01:47 - Sentinel Weights 02:12 - Undirected Graph Matrices 02:28 - Adjacency List 02:59 - List Variants 03:41 - Undirected Adjacency Lists 03:52 - Outgoing and Incoming Lists 04:15 - Transformations Between Lists 05:05 - Transforming List to Matrix 05:24 - Transforming Matrix to List 05:42 - Graph Transpose 06:13 - Model Comparison 06:25 - Comparison: Memory 07:10 - Comparison: Speed 07:23 - Neighbor Iteration 07:59 - Edge Check 08:40 - Up Next
Graph Theory in Data Structure(Hindi, English) with Example for students of IP University Delhi and Other Universities, Engineering, MCA, BCA, B.Sc, M.Sc Colleges.
Introduction to graph theory terminology. The pace is very fast, so this is geared for those who have had prior exposure to the content. Second installment of Data Structures in 5 Minutes. For clearer photos of the whiteboard: Graphs Photo 1: http://i1160.photobucket.com/albums/q499/dicksontsai/Public%20photos/Data%20Structures%20in%205%20Minutes/IMG_2591_zps8b37b878.jpg Graphs Photo 2: http://i1160.photobucket.com/albums/q499/dicksontsai/Public%20photos/Data%20Structures%20in%205%20Minutes/IMG_2592_zpsec253f75.jpg Several comments: * The top of the adjacency matrix got cut off, but it should be C D E F. * Pseudocode for DFS and BFS can be easily searched on the Internet. Choosing which vertex to explore first is arbitrary. The important distinction is searching deeply vs. searching one ...
This is the fourth in a series of videos about the graph data structure. This is an explanation of Dijkstra’s algorithm for finding the shortest path between one vertex in a graph and another. Indeed, this explains how Dijkstra’s shortest path algorithm generates a set of information that includes the shortest paths from a starting vertex and every other vertex in the graph. It also mentions why Dijkstra’s shortest path algorithm is an example of a greedy algorithm.
Learn the basics of graph search and common operations; Depth First Search (DFS) and Breadth First Search (BFS). This video is a part of HackerRank's Cracking The Coding Interview Tutorial with Gayle Laakmann McDowell. http://www.hackerrank.com/domains/tutorials/cracking-the-coding-interview?utm_source=video&utm;_medium=youtube&utm;_campaign=ctci
Graphs are collections of things and the relationships or connections between them. The data in a graph are called nodes or vertices. The connections between the nodes are called edges. See how to represent an adjacency list, adjacency matrix, and incidence matrix in JavaScript. 🐦 Beau Carnes on Twitter: https://twitter.com/carnesbeau ⭐JavaScript Tutorials Playlists⭐ ▶JavaScript Basics: https://www.youtube.com/playlist?list=PLWKjhJtqVAbk2qRZtWSzCIN38JC_NdhW5 ▶Data Structures and Algorithms: https://www.youtube.com/playlist?list=PLWKjhJtqVAbkso-IbgiiP48n-O-JQA9PJ ▶Design Patterns: https://www.youtube.com/playlist?list=PLWKjhJtqVAbnZtkAI3BqcYxKnfWn_C704 ▶ES6: https://www.youtube.com/playlist?list=PLWKjhJtqVAbljtmmeS0c-CEl2LdE-eR_F ▶Clean Code: https://www.youtube.com/playlist?list=PLWKjhJt...
This is the first in a series of videos about the graph data structure. It mentions the applications of graphs, defines various terminology associated with graphs, and describes how a graph can be represented programmatically by means of adjacency lists or an adjacency matrix.
This is one of the important Graph traversal technique. BFS is based on Queue data structure. Analysis: The time complexity of BFS using Adjacency list is O(V + E) where V & E are the vertices and edges of the graph respectively.
Table of Contents: 00:18 - Graphs vs. Representations 00:43 - Adjacency Matrix 01:16 - Weighted Graph Matrices 01:47 - Sentinel Weights 02:12 - Undirected Graph Matrices 02:28 - Adjacency List 02:59 - List Variants 03:41 - Undirected Adjacency Lists 03:52 - Outgoing and Incoming Lists 04:15 - Transformations Between Lists 05:05 - Transforming List to Matrix 05:24 - Transforming Matrix to List 05:42 - Graph Transpose 06:13 - Model Comparison 06:25 - Comparison: Memory 07:10 - Comparison: Speed 07:23 - Neighbor Iteration 07:59 - Edge Check 08:40 - Up Next
Lecture Series on Data Structures and Algorithms by Dr. Naveen Garg, Department of Computer Science and Engineering ,IIT Delhi. For more details on NPTEL visit http://nptel.iitm.ac.in
In case interested in taking up Online Data Structures Training. Please take a look @ http://beingzero.in/syllabus/data-structures-algorithms-training
MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: http://ocw.mit.edu/6-006F11 Instructor: Erik Demaine License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
MIT 6.851 Advanced Data Structures, Spring 2012 View the complete course: http://ocw.mit.edu/6-851S12 Instructor: Erik Demaine Dynamic graphs: link-cut trees, heavy-light decomposition License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2.0/ Tutorials by Instructor: Shai Simonson. http://www.stonehill.edu/compsci/shai.htm Visit the forum at: http://www.coderisland.com Follow us on twitter: http://www.twitter.com/coderisland Become a fan on Facebook: http://www.facebook.com/Coderisland
Help us caption and translate this video on Amara.org: http://www.amara.org/en/v/BH93/ Lecture 25 by Julie Zelenski for the Programming Abstractions Course (CS106B) in the Stanford Computer Science Department. Julie examines a case study and opening up the lexicon file, which is complicated; she walks the students through the code and explains why she wrote it as she did as opposed to a sorted vector or binary search tree. She then introduces the DAWG data structure. Complete Playlist for the Course: http://www.youtube.com/view_play_list?p=FE6E58F856038C69 CS 106B Course Website: http://cs106b.stanford.edu Stanford Center for Professional Development: http://scpd.stanford.edu/ Stanford University: http://www.stanford.edu/ Stanford University Channel on YouTube: http://www.youtube.c...