graph

Home > ... > Science and Technology > Mathematics > Mathematics > ...

graph

The Columbia Encyclopedia, Sixth Edition | 2008 | The Columbia Encyclopedia, Sixth Edition. Copyright 2008 Columbia University Press. (Hide copyright information) Copyright

graph figure that shows relationships between quantities. The graph of a function y = f ( x ) is the set of points with coordinates [ x, f ( x )] in the xy -plane, when x and y are numbers. A similar definition can be given for functions involving more general kinds of variables. In mathematics interest is almost exclusively in line graphs and what these reveal about the functions they represent. Statistics makes extensive use of both line graphs and bar graphs, in which the lengths of the various bars show the quantities to be compared. Graph is also a mathematical term used in combinatorics to designate a geometric object consisting of vertices and edges (joining pairs of vertices). Such objects have been studied considerably in recent years because of the applicability to such diverse fields as computer networks, game theory, and social psychology.

Hide all research tools
Print this article Print all entries for this topic Cite this article Link to this article
Link to this article

CloseClose

Create a link to this page

Copy and paste this link tag into your Web page or blog:

<a href="http://www.encyclopedia.com/topic/.aspx#1E1-graph" title="Facts and information about graph">graph</a>

Add this article to Del.icio.usBookmark this article on DiigoShare this article on FacebookSubmit this article to RedditGive this article a thumbs-up on StumbleUpon
Show all research tools

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"graph." The Columbia Encyclopedia, Sixth Edition. 2008. Encyclopedia.com. 17 Dec. 2009 <http://www.encyclopedia.com>.

"graph." The Columbia Encyclopedia, Sixth Edition. 2008. Encyclopedia.com. (December 17, 2009). http://www.encyclopedia.com/doc/1E1-graph.html

"graph." The Columbia Encyclopedia, Sixth Edition. 2008. Retrieved December 17, 2009 from Encyclopedia.com: http://www.encyclopedia.com/doc/1E1-graph.html

Learn more about citation styles

graph

The Concise Oxford Dictionary of English Etymology | 1996 | | © The Concise Oxford Dictionary of English Etymology 1996, originally published by Oxford University Press 1996. (Hide copyright information) Copyright

graph XIX. orig. (chem.) short for GRAPHIC formula, in which lines are used to indicate the connections of elements; hence in math.

Hide all research tools
Print this article Print all entries for this topic Cite this article Link to this article
Link to this article

CloseClose

Create a link to this page

Copy and paste this link tag into your Web page or blog:

<a href="http://www.encyclopedia.com/topic/.aspx#1O27-graph" title="Facts and information about graph">graph</a>

Add this article to Del.icio.usBookmark this article on DiigoShare this article on FacebookSubmit this article to RedditGive this article a thumbs-up on StumbleUpon
Show all research tools

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

T. F. HOAD. "graph." The Concise Oxford Dictionary of English Etymology. 1996. Encyclopedia.com. 17 Dec. 2009 <http://www.encyclopedia.com>.

T. F. HOAD. "graph." The Concise Oxford Dictionary of English Etymology. 1996. Encyclopedia.com. (December 17, 2009). http://www.encyclopedia.com/doc/1O27-graph.html

T. F. HOAD. "graph." The Concise Oxford Dictionary of English Etymology. 1996. Retrieved December 17, 2009 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O27-graph.html

Learn more about citation styles

Free newspaper and magazine articles

Free Article Mining Graph Data Available Now.
Business Wire; 1/22/2008
Free Article Enhancing understanding and constructing knowledge in graph theory and combinatorial optimization within the 'graphs' multimedia application.(Report)
Magazine article from: Electronic Journal of Mathematics and Technology; 2/1/2009
Free Article Interaction on graphs using non-conventional devices.
Magazine article from: Journal of Computer Science & Technology; 4/1/2007

Facts and information from other sites

Related articles from newspapers, magazines, and more

Graph folding of some special graphs.
Magazine article from: Journal of Mathematics and Statistics; 1/1/2005; ; 700+ words ; ...connected and any connected graph which has no loops is called...and [G.sub.2] be graphs and f : [G.sub.1...and hence we cannot get a graph folding. We denote the set of graph foldings between graphs [G.sub.1] and [G...
Graphs that work. (how to create graphs)(includes related articles on choosing a graphing tool, and on various types of graphs) (At Work)(Column) (Tutorial)
Magazine article from: Macworld; 2/1/1994; ; 700+ words ; ...comparisons. "A Field Guide to Graphs" shows the most popular graph formats and describes what...for titles that tie the graphs together. One graph might be titled "Inventories...relationship between the two graphs. For a graph with multiple data series...
Financial graphs: True and Fair?
Magazine article from: Australian CPA; 6/1/1999; ; 700+ words ; ...may alter the shape of the graph and thus the angle of the trend Line. Long, tall graphs present rising trends in...the table, we analyse 833 graphs from the 79 graph-using companies (10.5 graphs per company). The four...
Graph interpretation skills among lower-achieving school leavers
Magazine article from: Research in Education; 11/1/1998; ; 700+ words ; ...the understanding of graphs by 14 year olds: Interpreting a graph as if it were a picture...material supporting graph interpretation activities...based activities with graphs. The English National Curriculum now requires graph work at Key Stage 2...
Graph Master.(Software Review)(Product/Service Evaluation)
Magazine article from: Multimedia Schools; 3/1/2003; ; 700+ words ; ...collect (or import), graph, analyze, and present...can create nine types of graphs; a glossary helps them understand the different graph types. The program has...focus, more so than the graphs. Graph Master has allowed us...
Graphs, An Underused Information Presentation Technique.
Magazine article from: The National Public Accountant; 6/1/2000; ; 700+ words ; ...what is represented by a graph almost at a glance...Journal includes several graphs of activities in the...efficient ability of graphs to convey information to the reader of the graph and to convince readers...to make wider use of graphs. The second purpose...
Do graphs promote learning in principles of economics? (Research in Economic Education).(Statistical Data Included)
Magazine article from: The Journal of Economic Education; 9/22/2001; ; 700+ words ; ...lecture or a lecture with graphs. The main hypothesis was...students in the lectures with graphs would show higher gain scores than those in the no-graph lectures (both lectures...students in the lecture with graphs in 1995 had significantly...
Augmented marked graphs.
Magazine article from: Informatica; 4/1/2008; ; 700+ words ; ...conservativeness of augmented marked graphs. The dining philosopher...Keywords: augmented marked graph, Petri net, liveness...conservativeness of augmented marked graphs, a R-transform is...transform an augmented marked graph into marked graphs. With the R-transform...
"Diamond graph" corrects long-standing errors of 3-D bar graphs.
Newspaper article from: Health & Medicine Week; 9/1/2003; 700+ words ; ...today's three-dimensional bar graph. While these graphs may look correct, researchers...misleading. Currently, the 3-D bar graph is used in countless computer programs...has developed the new diamond graph, which corrects these errors and...
Deterministic soliton graphs.
Magazine article from: Informatica; 10/1/2006; ; 700+ words ; ...through an appropriate graph model. Soliton graphs and automata have been systematically...be used to reduce chestnut graphs to really straightforward...baby chestnuts. 2 Soliton graphs and automata By a graph G = (V(G), E(G...

Pictures from Google Image Search

Click to see an enlarged picture
Click to see an enlarged picture
Click to see an enlarged picture

For students and teachers!

Encyclopedia.com provides students and teachers facts, information, and biographies from verified, citable sources, including:

Encyclopedia.com provides students and teachers facts, information, and biographies from verified, citable sources, including: