Yahoo Canada Web Search

Search results

1. math.stackexchange.com › questions › 2331721graph theory - Definition of a curve (Jordan Curve Theorem ...

   math.stackexchange.com › questions › 2331721

   Jun 21, 2017 · You got it correctly -- the JCT says that a closed non-self-intersecting curve partitions the rest of the plane into inside and outside. Continuous image means that there is a continuous function f: C(0, 1) →R2 f: C (0, 1) → R 2, where your closed curve is the image of f f (where C(0, 1) C (0, 1) denotes the unit circle). Share.

2. math.libretexts.org › Bookshelves › Combinatorics_and5.1: The Basics of Graph Theory - Mathematics LibreTexts

   math.libretexts.org › Bookshelves › Combinatorics_and

   • Cached

   Figure 5.1.1 5.1. 1: A simple graph. A graph G = (V, E) G = (V, E) that is not simple can be represented by using multisets: a loop is a multiset {v, v} = {2 ⋅ v} {v, v} = {2 ⋅ v} and multiple edges are represented by making E E a multiset. The condensation of a multigraph may be formed by interpreting the multiset E E as a set.

3. Images

   • 
   • 
   • 
   • 

   View all

4. www.geeksforgeeks.org › fundamentals-of-graph-theoryFundamentals of Graph Theory - GeeksforGeeks

   www.geeksforgeeks.org › fundamentals-of-graph-theory

   • Cached

   Aug 5, 2024 · Applications of Graph Theory: In mathematics and computer science, a graph is a mathematical structure that consists of two main components: vertices (or nodes) and edges. The study of these graphs in various contexts is called graph theory. There are various applications of graph theory in real life such as in computer graphics and networks, biolo

5. math.libretexts.org › Bookshelves › Combinatorics_and11.2: Basic Definitions, Terminology, and Notation

   math.libretexts.org › Bookshelves › Combinatorics_and

   • Cached

   Jul 12, 2021 · For most of the graph theory we cover in this course, we will only consider simple graphs. However, there are some results for which the proof is identical whether or not the graph is simple, and other results that actually become easier to prove if we allow multigraphs and/or loops, than if we only allow simple graphs.

6. Videos

   • 

     16:37

     youtube.com

     Basic Concepts in Graph Theory

     Jun 12, 2014

     158.2K Views

   • 

     5:36

     youtube.com

     Production Possibilities Curve Review

     Aug 29, 2014

     2.8M Views

   • 

     11:03

     youtube.com

     Introduction to Graph Theory | Basics of Graph Theory | Imp for GATE and UGC NET

     Dec 6, 2018

     666.1K Views

   View all

7. www.mathsisfun.com › sets › graph-theoryIntroduction to Graph Theory - Math is Fun

   www.mathsisfun.com › sets › graph-theory

   • Cached

   Graph Theory studies how things are connected, through a network of points and lines. A graph looks like this: An Example Graph. Yes, it is called a "graph"... but it is NOT this kind of graph: They are both called "graphs". But they are different things. Just how it is. This subject explores how these points and lines relate to each other, and ...

8. web.math.princeton.edu › math_alive › 5Math Alive Graphs 1 - Princeton University

   web.math.princeton.edu › math_alive › 5

   • Cached

   Basics of Graph Theory. The basic objects in graph theory are graphs. A graph is a slightly abstract represention of some objects that are related to each other in some way, and of these relationships. The objects are drawn as dots called vertices; a line (or curve) connects any two vertices representing objects that are related or adjacent ...

9. People also ask

   What is a curve in graph theory?

   • In my graph theory course, we are talking about planar graphs, and we studied the definition of a curve prior to talking about the Jordan Curve Theorem. However, I'm having a bit of trouble understanding the definition provided to us. Here it is I sort of understand what it's trying to say. A curve is similar to a line segment.

   graph theory - Definition of a curve (Jordan Curve Theorem

   math.stackexchange.com/questions/2331721/definition-of-a-curve-jordan-curve-theorem

   See all results for this question

   What is graph theory?

   • Graph theory is a branch of mathematics that studies the properties and applications of graphs. A graph is a collection of vertices (also called nodes) connected by edges (also called links). Graphs are used to model pairwise relations between objects, making them a powerful tool for representing and analyzing complex systems in various fields.

   Fundamentals of Graph Theory - GeeksforGeeks

   www.geeksforgeeks.org/fundamentals-of-graph-theory/

   See all results for this question

   What are the basic objects in graph theory?

   • The basic objects in graph theory are graphs. A graph is a slightly abstract represention of some objects that are related to each other in some way, and of these relationships. The objects are drawn as dots called vertices; a line (or curve) connects any two vertices representing objects that are related or adjacent; such a line is called an edge.

   Math Alive Graphs 1 - Princeton University

   web.math.princeton.edu/math_alive/5/Lab1/Defs.html

   See all results for this question

   What are the basic concepts in graph theory?

   • Some of the basic concepts in graph theory are: Let’s discuss these concepts in detail as follows: A vertex is a point where lines meet in a graph and is denoted by an alphabet. It can also be called a node or a junction. In graph theory, a vertex is one of the points that the graph is defined on and can be connected by edges.

   Fundamentals of Graph Theory - GeeksforGeeks

   www.geeksforgeeks.org/fundamentals-of-graph-theory/

   See all results for this question

   What is a graph based on?

   • A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense “related”. The objects of the graph correspond to vertices and the relations between them correspond to edges. A graph is depicted diagrammatically as a set of dots depicting vertices connected by lines or curves depicting edges.

   Mathematics | Graph Theory Basics - Set 2 - GeeksforGeeks

   www.geeksforgeeks.org/mathematics-graph-theory-basics/

   See all results for this question

   What situations can be represented using graph theory?

   • In the real world, we can find many situations that can be represented using graph theory: Transportation networks: Vertices can represent stations, and edges can represent the routes connecting them. Social networks: Vertices can be people, and edges can denote friendships or connections.

   Introduction to Graph Theory - Math is Fun

   www.mathsisfun.com/sets/graph-theory.html

   See all results for this question

10. www.geeksforgeeks.org › mathematics-graph-theoryMathematics | Graph Theory Basics - Set 2 - GeeksforGeeks

    www.geeksforgeeks.org › mathematics-graph-theory

    • Cached

    Aug 27, 2024 · Graph theory is a basic branch of discrete mathematics that mainly focuses on the relationship between objects. These objects are called vertices and these vertices are joined by edges. Graphs are common in computer science, network analysis, and many other everyday uses because they provide a good representation of connection, relationship ...