Geometric graph theory | Geometric data structures | Graph data structures
The doubly connected edge list (DCEL), also known as half-edge data structure, is a data structure to represent an embedding of a planar graph in the plane, and polytopes in 3D. This data structure provides efficient manipulation of the topological information associated with the objects in question (vertices, edges, faces). It is used in many algorithms of computational geometry to handle polygonal subdivisions of the plane, commonly called planar straight-line graphs (PSLG). For example, a Voronoi diagram is commonly represented by a DCEL inside a bounding box. This data structure was originally suggested by Muller and Preparata for representations of 3D convex polyhedra. Later, a somewhat different data structure was suggested, but the name "DCEL" was retained. For simplicity, only connected graphs are considered, however the DCEL structure may be extended to handle disconnected graphs as well by introducing dummy edges between disconnected components. (Wikipedia).
Bridge Edges - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
What are Connected Graphs? | Graph Theory
What is a connected graph in graph theory? That is the subject of today's math lesson! A connected graph is a graph in which every pair of vertices is connected, which means there exists a path in the graph with those vertices as endpoints. We can think of it this way: if, by traveling acr
From playlist Graph Theory
Data structures: Introduction to Doubly Linked List
See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have described doubly linked list data structure. For practice problems and more, visit: http://www.mycodeschool.com Like us on Facebook: https://www
From playlist Data structures
Strongly Connected Directed Graphs | Graph Theory, Digraph Theory
What are strongly connected digraphs? That's what we'll be going over in today's graph theory lesson. We'll recap connectedness, what it means to be weakly connected, and then finish off with the definition of strongly connected! We say a directed graph D is strongly connected if, for eve
From playlist Graph Theory
Graph Theory: 05. Connected and Regular Graphs
We give the definition of a connected graph and give examples of connected and disconnected graphs. We also discuss the concepts of the neighbourhood of a vertex and the degree of a vertex. This allows us to define a regular graph, and we give some examples of these. --An introduction to
From playlist Graph Theory part-1
Weakly Connected Directed Graphs | Digraph Theory
What is a connected digraph? When we start considering directed graphs, we have to rethink our definition of connected. We say that an undirected graph is connected if there exists a path connecting every pair of vertices. However, in a directed graph, we need to be more specific since it
From playlist Graph Theory
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From playlist Data structures playlist
Parallel Edges in Multigraphs and Digraphs | Graph Theory, Multiple Edges, Multisets
What are parallel edges, also called multiple edges or multi-edges, in graph theory? We'll introduce parallel edges in the context of undirected multi-graphs and in directed graphs in today's video graph theory lesson! Lesson on directed graphs: https://www.youtube.com/watch?v=mXoiHgH4mE
From playlist Graph Theory
Vertex Covering Number of Complete Graphs | Graph Theory Exercises
We discuss and prove the vertex covering number of a complete graph Kn is n-1. That is, the minimum number of vertices needed to cover a complete graph is one less than its number of vertices. This is because, put simply, if we are missing at least 2 vertices in our attempted vertex cover,
From playlist Graph Theory Exercises
An Introduction to Data Structures
Hello everyone and welcome to an Introduction to Data Structures. In this lecture-style course, I’ll be taking through the topic of Data Structures in relation to Computer Science. We’ll go over what Data Structures are, how we measure a Data Structures efficiency, and then hop into talkin
From playlist Software Development
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From playlist Simplilearn Live
🔥Data Structures and Algorithms Tutorial in C & C++ | Data Structures Full Course 2022 | Simplilearn
🔥Explore our FREE Courses with Completion Certificates: https://www.simplilearn.com/skillup-free-online-courses?utm_campaign=DataStructuresFCDec15&utm_medium=DescriptionFirstFold&utm_source=youtube This video on Data Structures and Algorithms Full Course will help you learn everything the
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Stanford Lecture: Don Knuth—"Dancing Links" (2018)
Donald Knuth's 24th Annual Christmas Lecture: Dancing Links Donald Knuth, Professor Emeritus 2018 A simple data-structuring idea called “dancing links” has proved to be surprisingly effective. It has also led to a new class of combinatorial problems, “exact covering with color controls” (
From playlist Donald Knuth Lectures
Software Development Course Day - 1 | Data Structures & Algorithms | Software Developer |Simplilearn
🔥Explore our FREE Courses with Completion Certificates: https://www.simplilearn.com/skillup-free-online-courses?utm_campaign=SoftDevCourseOct11&utm_medium=DescriptionFirstFold&utm_source=youtube This software development course is a series of live sessions where we will understand in-depth
From playlist Simplilearn Live
Data Structure Full Course 2023 - Part 1 | Data Structures Course Using C and C++ | Simplilearn
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From playlist Data Structures & Algorithms [2022 Updated]
Jan Stienstra: Zhegalkin Zebra Motives, digital recordings of Mirror Symmetry
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: I present a very simple construction of doubly-periodic tilings of the plane by convex black and white polygons. These tilings are the motives
From playlist HIM Lectures: Trimester Program "Periods in Number Theory, Algebraic Geometry and Physics"
🔥Data Structures and Algorithms Full Course 1 | Data Structures Tutorial in C and C++ | Simplilearn
🔥Explore our FREE Courses with Completion Certificates: https://www.simplilearn.com/skillup-free-online-courses?utm_campaign=DataStructures1FCSEP22&utm_medium=DescriptionFirstFold&utm_source=youtube This video on Data Structures and Algorithms Full Course will help you learn everything the
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Motivations, connections and scope of the workshop - Avi Wigderson
Optimization, Complexity and Invariant Theory Topic: Motivations, connections and scope of the workshop Speaker: Avi Wigderson Affiliation: Institute for Advanced Study Date: June 4, 2018 For more videos, please visit http://video.ias.edu
From playlist Optimization, Complexity and Invariant Theory
Vertex Cuts in Graphs (and a bit on Connectivity) | Graph Theory, Vertex-Connectivity
What is a vertex cut of a graph? And how can we use vertex cuts to describe how connected a graph is? We have discussed cut vertices and connected graphs before, but by tying them together in a way, we are able to characterize different levels of connectivity in graphs. The focus of this l
From playlist Graph Theory
Introduction to Circular Linked List | Linked List Implelemtation In C | C For Beginners|Simplilearn
This video by Simplilearn is based on Introduction to Circular Linked List in C programming language. The Linked List Implelemtation In C Tutorial will briefly help beginners with a theoretical explanation of the program's working and implementation of a Circular Linked List. The tutorial
From playlist C++ Tutorial Videos