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Topic: Simple graph

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graph theory

Glossary of graph theory

graph of a function

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	Glossary of graph theory - Wikipedia, the free encyclopedia
		In the example graph, (1, 2, 5, 1, 2, 3) is a path with length 5, and (5, 2, 1) is a simple path of length 2.
		The girth of a graph is the length of a shortest (simple) cycle in the graph; and the circumference, the length of a longest (simple) cycle.
		A vertex of degree 0 is an isolated vertex.
	en.wikipedia.org /wiki/Glossary_of_graph_theory (5364 words)

	Kids.net.au - Encyclopedia Graph theory -
		Graph theory is the branch of mathematics that examines the properties of graphs.
		The girth of a graph is the length of the shortest simple cycle in the graph.
		A subgraph of the graph G is a graph whose vertex set is a subset of the vertex set of G, whose edge set is a subset of the edge set of G, and such that the map w is the restriction of the map from G.
	www.kids.net.au /encyclopedia-wiki/gr/Graph_theory (1684 words)

	Glossary of graph theory (Site not responding. Last check: 2007-11-04)
		A '''universal graph''' in a class K of graphs is a simple graph in which every element in K can be embbeded as a subgraph.
		A '''''k''-factorable graph''' is a graph that admits a ''k''-factorization.
		A '''strongly regular graph''' is a regular graph such that any adjacent vertices have the same number of common neighbors as other adjacent pairs and that any nonadjacent vertice have the same number of common neighbors as other nonadajacent pairs.
	www.baapoo.com /baapoo.com,index,edit,Glossary_of_graph_theory.html (4687 words)

	Graph theory - Wikipedia, the free encyclopedia
		A graph structure can be extended by assigning a weight to each edge, or by making the edges to the graph directional ( A links to B, but B does not necessarily link to A, as in webpages), technically called a digraph.
		Graphs are represented graphically by drawing a dot for every vertex, and drawing an arc between two vertices if they are connected by an edge.
		A graph drawing should not be confused with the graph itself (the abstract, non-graphical structure) as there are several ways to structure the graph drawing.
	en.wikipedia.org /wiki/Graph_theory (1090 words)

	Graph theory - Open Encyclopedia (Site not responding. Last check: 2007-11-04)
		Informally, a graph is a set of objects called vertices (or nodes) connected by links called edges (or arcs).
		Typically, a graph is depicted as a set of dots (i.e., vertices) connected by lines (i.e., edges).
		In general, there are four ways to represent a graph in a computer system: The incidence list representation, the incidence matrix representation, adjacency list representation, and the adjacency matrix representation.
	open-encyclopedia.com /Graph_theory (884 words)

	Graphs Glossary
		A graph is bipartite if the vertices can be partitioned into two sets, X and Y, so that the only edges of the graph are between the vertices in X and the vertices in Y. Trees are examples of bipartite graphs.
		A chain in a graph is a sequence of vertices from one vertex to another using the edges.
		The closure of a graph G with n vertices, denoted by c(G), is the graph obtained from G by repeatedly adding edges between non- adjacent vertices whose degrees sum to at least n, until this can no longer be done.
	www-math.cudenver.edu /~wcherowi/courses/m4408/glossary.htm (1928 words)

	Section 5.1 An Introduction to Graphs (Site not responding. Last check: 2007-11-04)
		A simple graph G is an ordered pair ( V, E), where V is a finite nonempty set of nodes ( vertices) and E is another finite set of edges of the graph.
		A simple graph is complete provided that any two vertices in the graph are adjacent.
		A graph H is a subgraph of G provided that the set of vertices in H is a subset of the set of vertices in G and the set of edges in H is a subset of the set of edges in G.
	users.csc.tntech.edu /~srini/DM/chapters/review5.1.html (749 words)

	Puzzles on graphs
		A graph is called bipartite if the set of its vertices can be represented as a union of two disjoint sets such that no two nodes of the same set are connected by an edge.
		A subgraph of a graph is a graph whose vertices and edges form subsets of the sets of vertices and edges, respectively, of the given graph that may be called a supergraph.
		A connected component of a node is the biggest subgraph of a graph that consists of all the nodes that serve as endpoints of walks starting at the given node.
	www.cut-the-knot.com /do_you_know/graphs2.shtml (1158 words)

	Graph Theory Glossary (Site not responding. Last check: 2007-11-04)
		In a digraph (directed graph) the degree is usually divided into the in-degree and the out-degree (whose sum is the degree of the vertex in the underlying undirected graph).
		A digraph (or a directed graph) is a graph in which the edges are directed.
		A path is a sequence of consecutive edges in a graph and the length of the path is the number of edges traversed.
	www.utm.edu /departments/math/graph/glossary.html (831 words)

	Miscellaneous Graph Functions ( graph_misc )
		CopyGraph( GRAPH and H, graph G) constructs a copy H of graph G such that H [ v ] is the node of G that corresponds to v and H [ e ] is the edge of G that corresponds to e.
		CopyGraph( GRAPH and H, graph G, list V, list E) constructs a copy H of the subgraph ( V, E) of G such that H [ v ] is the node of G that corresponds to v and H [ e ] is the edge of G that corresponds to e.
		Is_Plane_Map( graph G) tests whether G is a plane map, i.e, whether G is a map of genus zero.
	www.tu-chemnitz.de /mathematik/discrete/manuals/leda/graph_misc.html (685 words)

	GRAPH
		A simple graph (V,E) consists of vertices, V, and edges,E, connecting distinct elements of.
		An Euler cycle in a graph G is a cycle that includes all of the edges and all of the vertices of G.
		Two graphs G1 and G2 are isomorphic if there is a one-to-one, onto function f from the vertices of G1 to the vertices of G2 and a one-to-one, onto function g from the edges of G1 to the edges of G2.
	www.nova.edu /~vinuela/GRAPH.html (548 words)

	Games on Graphs (Site not responding. Last check: 2007-11-04)
		Graphs are mathematical objects that are made of dots connected by lines.
		Graph Theory is the branch of mathematics that involves the study of graphs.
		Graph theory has been instrumental for analyzing and solving problems in areas as diverse as computer network design, urban planning, and molecular biology.
	www.c3.lanl.gov /mega-math/workbk/graph/graph.html (88 words)

	``Introduction to Graph Theory'' (2nd edition)
		"Even graph" is my compromise expression for the condition that all vertex degrees are even, and I will continue to use "cycle" for a 2-regular connected graph, "circuit" for a cyclically-edge-ordered connected even graph, and "circuit" for a minimal dependent set in a matroid.
		It is convenient in research to use "graph" for whichever model is the current context, but this practice does not work well in a beginning course.
		Letting "graph" forbid loops and multiple edges simplifies the first notion for students, making it possible to correctly view the edge set as a set of vertex pairs and avoid the technicalities of an incidence relation in the first definition.
	www.math.uiuc.edu /~west/igt (1088 words)

	Graph Theory
		In an undirected graph, this is obviously a metric.
		A connected graph is therefore a graph with exactly one connected component.
		Bound δ (of a graph embedded in on a surface)
	www.math.fau.edu /locke/graphthe.htm (1179 words)

	Introduction
		The discussion can be extended to polyhedra as well, inasmuch as polyhedra can be mapped to graphs by mapping each face to a vertex and mapping the edge between each pair of adjoining faces to a connection between the corresponding nodes of the graph.
		A simple graph is a set of finitely many points ( nodes) together with a set of connections between pairs of those points, such that no two distinct connections join the same two points and no connection joins any point to itself.
		Because G is simple it has no loops, and thus neither does G — S ; therefore all of the elements of the main diagonal of its adjacency matrix are zero and the missing terms of the determinant are all identically zero.
	www.mathpuzzle.com /characteristic.html (2265 words)

	Unsolved Problems
		An (m,n)-cage is an m -regular graph with girth n and, subject to this, with the least possible number of vertices.
		The bandwidth of a graph G is the minimum bandwidth among adjacency matrices of graphs isomorphic to G.
		A simple graph G on m edges is graceful if there is a labelling l of its vertices with distinct integers from the set {0,1,2,...,m}, so that the induced edge labelling l
	www.math.fau.edu /locke/unsolved.htm (3001 words)

	Graph Maker 1
		With some combinations of platform and browser, the printed form of the graph should be a close approximation of what you see on the screen.
		On a Mac platform, the printed form of a graph comes out fairly well intact on all versions of Explorer and Navigator that I've tried.
		Caution: On a Windows platform, the printed form of a graph has not come out well at all with the several versions of Navigator that I've tried.
	faculty.vassar.edu /lowry/graphs1.html (227 words)

	Probabilistic Causation
		First, a directed graph G on V is a set of directed edges, or ‘arrows’, having the variables in V as their vertices.
		The graph will represent the causal relationships among the variables in a population, and the probability distribution will represent the empirical probability that an individual in the population will possess certain values of the relevant variables.
		Nothing in the graph indicates that increased levels of smoking increase the risk and severity of heart disease, whereas increased levels of exercise (up to a point, anyway) decrease the risk and severity of heart disease.
	plato.stanford.edu /entries/causation-probabilistic (10656 words)

	A Simple Scene Graph API for OpenGL.
		Simple Scene Graph (SSG) is intended to be a really simple, low-impact, scene graph API that layers nicely on top of OpenGL using C++ and which works with or without GLUT.
		SSG includes a subsidiary library of simple matix and vector math with support for some intersection testing, field-of-view culling and such like.
		A Scene Graph is essentially just a tree-structured database containing a hierarchy of branches - and a bunch of leaf nodes.
	plib.sourceforge.net /ssg (392 words)

	GT 17/2 poz 1 (Site not responding. Last check: 2007-11-04)
		V leads to the concept of choice number, a graph parameter showing unexpectedly different behavior compared to the chromatic number, despite these two invariants have nearly the same value for almost all graphs.
		Bollobás, A.J. Harris, List-colourings of graphs, Graphs and Combinatorics 1 (1985) 115-127.
		F.S. Roberts, New directions in graph theory (with an emphasis on the role of applications), Annals of Discrete Mathematics 55 (1993) 13-43.
	www.pz.zgora.pl /discuss/gt/17_2/g1.htm (3116 words)

	Sample Configurable JCM Applet: SimpleGraph
		SimpleGraph is a configureable applet that shows the graph of a function and, optionally, marks a point on the graph.
		If there is a point, then the user can control its x-coordinate either by adjusting a slider at the bottom of the applet or by entering the x-coordinate in an input box.
		If the value is anything except "no", then a point is marked on the graph and inputs are added so the user can move the point.
	math.hws.edu /javamath/config_applets/SimpleGraph.html (484 words)

	AspWebSolution Forums » Products » ASP SimpleGraph » simple Graph
		But when create a graph the graph does not show.
		I have 2 sql server databases which are identical as far as the structure goes (tables, views being used by report wizard are identical save for the actual data).
		Using the same reports.xml file, the graph shows up for 1 database, but not for the other.
	www.aspwebsolution.com /forums/?tid=733 (524 words)

	Make-a-Graph
		This program is deleted each time the graph is drawn in order to prevent clutter on the server.
		Is it possible to to convert the graph to a vertical bar graph?
		There are no restrictions on the use of the graphs made by this script.
	theaction.com /scripts/makegraf/mg.html (1259 words)

	efg's Graphics -- Simple Graph Lab Report (Site not responding. Last check: 2007-11-04)
		Show the graph in a single step, or show the graph as it is being drawn.
		As a simple way to blank an image, the ButtonClearClick method assigns NIL to Image.Picture.
		This example showed how to create a simple graph "from scratch" using 2D vectors and a TPantograph object.
	www.efg2.com /Lab/Graphics/SimpleGraph.htm (198 words)

	BeanShell Example - Simple Graph Example (Site not responding. Last check: 2007-11-04)
		This example shows the use of a scripted object - a "graph" - on which we can call a method plot() to display points.
		Note in the snapshot above that we are able to refer to variables in the graph for later use.
		we can refere to our graph's canvas, frame, or graphics objects if we want to modify the graph's appearance, or do additional drawing.
	www.beanshell.org /examples/graph.html (134 words)

	Create a Graph
		Due to popular demand, the Create A Graph website has been completely redesigned with dozens of new features and better graphs.
		For a short period of time, the old Create A Graph website will still be available for those who can't bear to part with it.
		Click here to use the Create A Graph Classic.
	nces.ed.gov /nceskids/graphing (107 words)

	Simple graph display (Site not responding. Last check: 2007-11-04)
		Certainly there are extensions like BLT that provide wonderful graphing capabilities.
		Try looking at some of the Tk demos; drawing a graph isn't hard.
		What's hard though is working out what kind of graph to draw.
	wiki.tcl.tk /2474 (95 words)

	Free Simple Graph Software (Site not responding. Last check: 2007-11-04)
		The ASP Report Wizard is a multi-level web reporting component that is used to generate professional drill-down reports with as much 1 Click from virtually any data source.
		This version supports many features including fast dynamic reports, simple charts & graphs, multiple dynamic column sorting, data filtering, generating reports from multiple tables, multiple field summaries, field data formating, field name aliasing and much more...
		Keywords: report writer web reports online reporting asp reports databases sql server ms access dynamic export data simple charts time series reports simple graph excel xml csv report wizard multiple column sorting join tables
	www.tversoft.com /computer/simple-graph.html (98 words)

	VB Helper: HowTo: Draw a simple graph with Visual Basic alone
		VB Helper: HowTo: Draw a simple graph with Visual Basic alone
		Draw a simple graph with Visual Basic alone
		My book Custom Controls Library implements 101 custom controls including a simple graph control.
	www.vb-helper.com /howto_graph_simple.html (225 words)

	Simple Graph(Parametric Function)
		The applet draws the graph of parametric functions.
		Using the applet, graph the functions in the table.
		The following is the list of functions defined in this applet.
	www.ies.co.jp /math/java/calc/sg_para/sg_para.html (28 words)

	Simple Graph Control
		This is a very simple (but easily enhanced) CStatic-derived class to do bar, line, and pie graphs.
		This is code is based on un-copyrighted code posted here by Brian Convery at CGraph - Graph Class for Plotting Groups of Data.
		I pretty much rewrote the entire thing, but much of the basic design is his.
	www.developer.com /net/cplus/print.php/627591 (343 words)

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