graph

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

Essential reading Compare
side-by-side The Concise Oxford Dictionary of English Etymology The Columbia Encyclopedia, Sixth Edition

graph

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.

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>

Give this article a thumbs-up on StumbleUpon

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. 10 Nov. 2009 <http://www.encyclopedia.com>.

"graph." The Columbia Encyclopedia, Sixth Edition. 2008. Encyclopedia.com. (November 10, 2009). http://www.encyclopedia.com/doc/1E1-graph.html

"graph." The Columbia Encyclopedia, Sixth Edition. 2008. Retrieved November 10, 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 | | Â© 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.

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>

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. 10 Nov. 2009 <http://www.encyclopedia.com>.

T. F. HOAD. "graph." The Concise Oxford Dictionary of English Etymology. 1996. Encyclopedia.com. (November 10, 2009). http://www.encyclopedia.com/doc/1O27-graph.html

T. F. HOAD. "graph." The Concise Oxford Dictionary of English Etymology. 1996. Retrieved November 10, 2009 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O27-graph.html

Learn more about citation styles

Related entries from encyclopedias, dictionaries and thesauruses

Rate these entries|See all related entries

Free newspaper and magazine articles

	Mining Graph Data Available Now. Business Wire; 1/22/2008
	Interaction on graphs using non-conventional devices. Magazine article from: Journal of Computer Science & Technology; 4/1/2007
	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

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...
	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...
	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...
	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...
	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...
	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...
	Bounded-degree graphs have arbitrarily large queue-number.(Report) Magazine article from: Discrete Mathematics and Theoretical Computer Science; 1/1/2008; ; 700+ words ; ...Mathematics Subject Classification: 05C62 (graph representations), 05C30 (enumeration of graphs and maps) 1 Introduction We consider graphs possibly with loops but with no parallel edges. A graph without loops is simple. Let G be a graph with...
	Comprehension of preference graphs Magazine article from: Psychologische Beiträge; 1/1/2002; ; 700+ words ; ...properties of the graphs themselves. Key words: graph comprehension...experiments in which graph readers were equipped...to interpret the graphs correctly. In...information from a graph. We assume that...about preference graphs that we call misconceptions...
	Topics in Graph Automorphisms and Reconstruction.(Book review) Magazine article from: School Science and Mathematics; 4/1/2008; ; 700+ words ; ...the automorphism group of a graph, Frucht's Theorem, Cayley graphs and coset graphs, and orbital graphs. These standards topics in graph theory were meant to serve...transitivity, asymmetric graphs, graph symmetries and the spectrum...