Graph - Revision history

Douseiaisha: Fixed some terminology to improve accuracy

2019-08-26T21:41:54Z

Fixed some terminology to improve accuracy

DavidB4-bot: /* top */clean up & uniformity

2016-07-13T13:36:43Z

top: clean up & uniformity

GregG: remove a copyrighted image; to those who can upload images, please feel free to upload a new chart for illustration in this article

2013-04-22T01:12:33Z

remove a copyrighted image; to those who can upload images, please feel free to upload a new chart for illustration in this article

Cipe: Added examples.

2012-04-26T02:20:03Z

Added examples.

JonG: wikify

2010-04-23T21:58:45Z

wikify

MarkGall: added the first graph i could find on CP, better suggestions welcome. let's carry on business as usual in the face of the colbert vandals!

2009-10-08T05:04:52Z

added the first graph i could find on CP, better suggestions welcome. let's carry on business as usual in the face of the colbert vandals!

MarkGall: expanded, but this could be a much more useful article, with some example charts.

2009-10-08T05:00:08Z

expanded, but this could be a much more useful article, with some example charts.

Fox: Undo revision 566017 by LlarsonM (Talk)

2008-11-22T16:53:08Z

Undo revision 566017 by LlarsonM (Talk)

LlarsonM: This article doesn't have nearly enough Hitler. MOAR HITLER!

2008-11-22T16:37:45Z

This article doesn't have nearly enough Hitler. MOAR HITLER!

Chippeterson: New page: A '''graph''' is a diagram representing a system of connections or interrelations among two or more things by a number of distinctive dots, lines, bars, etc. It is frequently used in [...

2008-09-15T22:39:03Z

New page: A '''graph''' is a diagram representing a system of connections or interrelations among two or more things by a number of distinctive dots, lines, bars, etc. It is frequently used in [...

New page

A '''graph''' is a diagram representing a system of connections or interrelations among two or more things by a [[number]] of distinctive dots, lines, bars, etc. It is frequently used in [[mathematics]].

[[Category:Mathematics]]

@@ Line 3: / Line 3: @@
 In statistics, graphs are a way to display data.  Pie charts and bar charts are two common types of graphs used to help readers visually understand the content of a data set.
-In mathematics, and especially in [[topology]], a graph is an abstract object consisting of a number of points ("vertices") and lines ("edges") connecting those points, and is used to study networks and similar objects.  For example, one could create a graph to represent human friendships: this graph has one point for each person, and an edge between every two people who are friends. According to the theory of six degrees of separation, any two points on this graph are connected by a path that goes along at most six edges!
+In mathematics, and especially in [[Combinatorics]], a graph is an abstract object consisting of a number of points ("vertices") and lines ("edges") connecting those points, and is used to study networks and similar objects.  For example, one could create a graph to represent human friendships: this graph has one vertex for each person, and an edge between every two people who are friends. According to the theory of six degrees of separation, any two vertices on this graph are connected by a path that goes along at most six edges!
-In mathematical terms, a graph is a pair of two sets ''V'' (vertices) and ''E'' (edges), where ''E'' is a subset of Cartesian product <math>V \times V</math>. A graph might be directed or undirected. A labeled graph has some data assigned to edges.
+In mathematical terms, a graph is a pair of two sets ''V'' (vertices) and ''E'' (edges), where ''E'' is a subset of Cartesian product <math>V \times V</math>. A graph is "directed" if the pairs are unordered and "undirected" if the pairs are ordered. Edges or vertices of graphs may be assigned additional information
-Example 1: Vertices are American cities, edges are roads between them, and labels are lengths of the roads. A computer given such graph will find the shortest path between any two cities.
+Example 1: Vertices are American cities, edges are roads between them, and edges are labeled with the length of the road between cities. A computer given such graph will find the shortest path between any two cities.
 Example 2: A graph might show correlations and relations between concepts.
-     [[atheism]] [[atheism and homosexuality|→]] [[homosexuality]]
+     [[homosexuality]] [[homosexuality and internalized homophobia|→]] [[internalized homophobia]]
-        [[atheism and suicide|↓]]    [[homosexuality#Homosexuality and Mental Health|↙]]
+        [[homosexuality and conservapedia|↓]]    [[homosexuality#Homosexuality and Mental Health|↙]]
-     [[suicide]]
+     [[conservapedia]]
 Example 3: A bipartite graph is a graph whose vertices may be divided into two types, presented on left and right. It might show membership.
@@ Line 24: / Line 24: @@
              [[Joseph Smith]] ↗
-             [[Barack Obama]] → Muslim
+             [[Barack Obama]] → President
      [[Christopher Hitchens]] → Atheist
             [[Joseph Stalin]] ↗
-On the left side there are people, and on the right hand side there are religions.
+On the left side there are people, and on the right hand side there are attributes.
 This bipartite graph models a [[function]].
-A planar graph is a graph which can be drawn without crossings. The graph in example 1 is not planar, because roads can intersect outside cities. The graphs drawn in examples 2 and 3 are currently planar, but after adding more edges they might become nonplanar.
+A planar graph is a graph that can be embedded in the plane (or a sphere) such that there are no crossings between edges. The graphs drawn in examples 2 and 3 are planar, but the graph in example 1 is not, since roads can intersect outside cities.
 [[Category:Mathematics]]

@@ Line 12: / Line 12: @@
      [[atheism]] [[atheism and homosexuality|→]] [[homosexuality]]
-        [[atheism and suicide|↓]]    [[homosexuality#Homosexuality_and_Mental_Health|↙]]
+        [[atheism and suicide|↓]]    [[homosexuality#Homosexuality and Mental Health|↙]]
      [[suicide]]

← Older revision		Revision as of 01:12, April 22, 2013
Line 2:		Line 2:

	In statistics, graphs are a way to display data. Pie charts and bar charts are two common types of graphs used to help readers visually understand the content of a data set.		In statistics, graphs are a way to display data. Pie charts and bar charts are two common types of graphs used to help readers visually understand the content of a data set.
−
−	~~[[Image:Obama total approval august 7 2009.jpg\|thumb\|center\|300px\|A graph representing the decline in president Obama's approval rating]]~~

	In mathematics, and especially in [[topology]], a graph is an abstract object consisting of a number of points ("vertices") and lines ("edges") connecting those points, and is used to study networks and similar objects. For example, one could create a graph to represent human friendships: this graph has one point for each person, and an edge between every two people who are friends. According to the theory of six degrees of separation, any two points on this graph are connected by a path that goes along at most six edges!		In mathematics, and especially in [[topology]], a graph is an abstract object consisting of a number of points ("vertices") and lines ("edges") connecting those points, and is used to study networks and similar objects. For example, one could create a graph to represent human friendships: this graph has one point for each person, and an edge between every two people who are friends. According to the theory of six degrees of separation, any two points on this graph are connected by a path that goes along at most six edges!

← Older revision		Revision as of 02:20, April 26, 2012
Line 6:		Line 6:

	In mathematics, and especially in [[topology]], a graph is an abstract object consisting of a number of points ("vertices") and lines ("edges") connecting those points, and is used to study networks and similar objects. For example, one could create a graph to represent human friendships: this graph has one point for each person, and an edge between every two people who are friends. According to the theory of six degrees of separation, any two points on this graph are connected by a path that goes along at most six edges!		In mathematics, and especially in [[topology]], a graph is an abstract object consisting of a number of points ("vertices") and lines ("edges") connecting those points, and is used to study networks and similar objects. For example, one could create a graph to represent human friendships: this graph has one point for each person, and an edge between every two people who are friends. According to the theory of six degrees of separation, any two points on this graph are connected by a path that goes along at most six edges!
		+
		+	In mathematical terms, a graph is a pair of two sets ''V'' (vertices) and ''E'' (edges), where ''E'' is a subset of Cartesian product <math>V \times V</math>. A graph might be directed or undirected. A labeled graph has some data assigned to edges.
		+
		+	Example 1: Vertices are American cities, edges are roads between them, and labels are lengths of the roads. A computer given such graph will find the shortest path between any two cities.
		+
		+	Example 2: A graph might show correlations and relations between concepts.
		+
		+	[[atheism]] [[atheism and homosexuality\|→]] [[homosexuality]]
		+	[[atheism and suicide\|↓]] [[homosexuality#Homosexuality_and_Mental_Health\|↙]]
		+	[[suicide]]
		+
		+	Example 3: A bipartite graph is a graph whose vertices may be divided into two types, presented on left and right. It might show membership.
		+
		+	[[Pope Benedict XVI]] ↘
		+	[[Rick Santorum]] → Catholic
		+	[[Mother Teresa]] ↗
		+
		+	[[Mitt Romney]] → Mormon
		+	[[Joseph Smith]] ↗
		+
		+	[[Barack Obama]] → Muslim
		+
		+	[[Christopher Hitchens]] → Atheist
		+	[[Joseph Stalin]] ↗
		+
		+	On the left side there are people, and on the right hand side there are religions.
		+
		+	This bipartite graph models a [[function]].
		+
		+	A planar graph is a graph which can be drawn without crossings. The graph in example 1 is not planar, because roads can intersect outside cities. The graphs drawn in examples 2 and 3 are currently planar, but after adding more edges they might become nonplanar.
		+
		+

	[[Category:Mathematics]]		[[Category:Mathematics]]

@@ Line 1: / Line 1: @@
-A '''graph''' is a type of visual display that arises in several places in mathematics and statistics.
+A '''graph''' is a type of visual display that arises in several places in mathematics and [[statistics]].
 In statistics, graphs are a way to display data.  Pie charts and bar charts are two common types of graphs used to help readers visually understand the content of a data set.
@@ Line 5: / Line 5: @@
 [[Image:Obama total approval august 7 2009.jpg|thumb|center|300px|A graph representing the decline in president Obama's approval rating]]
-In mathematics, and especially in topology, a graph is an abstract object consisting of a number of points ("vertices") and lines ("edges") connecting those points, and is used to study networks and similar objects.  For example, one could create a graph to represent human friendships: this graph has one point for each person, and an edge between every two people who are friends. According to the theory of six degrees of separation, any two points on this graph are connected by a path that goes along at most six edges!
+In mathematics, and especially in [[topology]], a graph is an abstract object consisting of a number of points ("vertices") and lines ("edges") connecting those points, and is used to study networks and similar objects.  For example, one could create a graph to represent human friendships: this graph has one point for each person, and an edge between every two people who are friends. According to the theory of six degrees of separation, any two points on this graph are connected by a path that goes along at most six edges!
 [[Category:Mathematics]]

← Older revision		Revision as of 05:00, October 8, 2009
Line 1:		Line 1:
−	A '''graph''' is a ~~diagram representing~~ a ~~system~~ of ~~connections or interrelations among two or more things by~~ a [[number]] of ~~distinctive dots,~~ lines, ~~bars, etc. It~~ is ~~frequently~~ used ~~in [[mathematics]]~~.	+	A '''graph''' is a type of visual display that arises in several places in mathematics and statistics.
		+
		+	In statistics, graphs are a way to display data. Pie charts and bar charts are two common types of graphs used to help readers visually understand the content of a data set.
		+
		+	In mathematics, and especially in topology, a graph is an abstract object consisting of a number of points ("vertices") and lines ("edges") connecting those points, and is used to study networks and similar objects. For example, one could create a graph to represent human friendships: this graph has one point for each person, and an edge between every two people who are friends. According to the theory of six degrees of separation, any two points on this graph are connected by a path that goes along at most six edges!

	[[Category:Mathematics]]		[[Category:Mathematics]]

@@ Line 1: / Line 1: @@
-<gallery perrow="10">
+A '''graph''' is a diagram representing a system of connections or interrelations among two or more things by a [[number]] of distinctive dots, lines, bars, etc. It is frequently used in [[mathematics]].
-Image:Hitler.jpg|"MOAR I SAY, MOAR!"
-Image:Hitler.jpg|"MOAR I SAY, MOAR!"
+[[Category:Mathematics]]