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Topic: Graph (data structure)

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	The Boost Graph Library
		A standardized generic interface for traversing graphs is of utmost importance to encourage reuse of graph algorithms and data structures.
		First, the graph algorithms of the BGL are written to an interface that abstracts away the details of the particular graph data-structure.
		There are three distinct graph traversal patterns: traversal of all vertices in the graph, through all of the edges, and along the adjacency structure of the graph (from a vertex to each of its neighbors).
	www.boost.org /libs/graph/doc (1259 words)

	Graph theory
		Graph theory is the branch of mathematics that examines the properties of graphs.
		Structures that can be represented as graphs are ubiquitous, and many problems of practical interest can be formulated as questions about certain graphs.
		Every graph gives rise to a matroid, but in general the graph cannot be recovered from its matroid, so matroids are not truly generalizations of graphs.
	publicliterature.org /en/wikipedia/g/gr/graph_theory.html (886 words)

	Relational database management system and method for storing, retrieving and modifying directed graph data structures - ...
		Directed graph data structures are stored in specified tables by storing each record of the directed graph in a distinct row of one of the specified tables, with references corresponding to interconnections between records being stored in reference data type columns.
		Usually, when data from a directed graph is being inserted into a database, the columns in each row which is stored in the intermediate format are the same as, or a subset of the columns of the target base table in which the directed graph is being stored.
		Thus, the retrieved directed graph data structure may, in general, contain cycles and/or multiple pointers to the same substructure, and thus there may be paths from the top-level record of the structure to other records in the structure that exceed the specified depth.
	www.freepatentsonline.com /5201046.html (11636 words)

	Generic Programming: Followup to a Dagstuhl Seminar -- Generic Graph Algorithms Dietmar Kühl
		That means in an ideal world it is possible to apply the implementation of a graph algorithm to an arbitrary graph data structure (as long as it is suited to the requirements of the algorithms: it makes no sense to apply an algorithm for planar graphs to a general graph).
		Graph algorithms normally access data associated with the nodes and edges of the graph which is often interpreted as weight, length, cost, or flow, depending on the context of the algorithm.
		Because graph algorithms often use other algorithms as subalgorithms, the interpretation of the associated data may change, for example, from "length" to "cost." In addition, the algorithms need to store auxiliary data with the nodes and/or edges, for example to indicate a temporary flow value or that a node was already visited.
	www.cs.rpi.edu /~musser/gp/dagstuhl/gpdag_28.html (897 words)

	Graph Data Structures
		GraphEd [Him94], written in C by Michael Himsolt, is a powerful graph editor that provides an interface for application modules and a wide variety of graph algorithms.
		Simple graph data structures in Mathematica are provided by Combinatorica [Ski90], with a library of algorithms and display routines.
		Dynamic graph algorithms are essentially data structures that maintain quick access to an invariant (such as minimum spanning tree or connectivity) under edge insertion and deletion.
	www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK3/NODE132.HTM (1450 words)

	Graphs (graph)
		An instance G of the data type graph consists of a list V of nodes and a list E of edges (node and edge are item types).
		In a directed graph an edge is adjacent to its source and in an undirected graph it is adjacent to its source and target.
		In a directed graph a node w is adjacent to a node v if there is an edge (v,w) in E; in an undirected graph w is adjacent to v if there is an edge (v,w) or (w,v) in the graph.
	graphics.stanford.edu /courses/cs368/LEDA/node90.html (3409 words)

	Graph (data structure) - Wikipedia, the free encyclopedia
		In computer science, a graph is a kind of data structure, specifically an abstract data type (ADT), that consists of a set of nodes and a set of edges that establish relationships (connections) between the nodes.
		A graph G is defined as follows: G=(V,E), where V is a finite, non-empty set of vertices (singular: vertex) and E is a set of edges (links between pairs of vertices).
		Graph data structures are non-hierarchical and therefore suitable for data sets where the individual elements are interconnected in complex ways.
	en.wikipedia.org /wiki/Graph_(data_structure) (249 words)

	GRAPHS.TXT
		Graphs can and have been used to model cities and their connections via highways, via bus routes, via commercial airline flights.
		In engineering, graphs are used to model the utility network for either water or electric power lines between points where things are connected.
		The program to maintain a graph data structure and to print out the results is very similar to the many-many relations we learned about.
	www.wiu.edu /users/mflll/cs350/graphs.htm (1217 words)

	BioMed Central \| Full text \| GenoLink: a graph-based querying and browsing system for investigating the function of ...
		Graph querying approach could greatly benefits from object-oriented data modelling techniques since they provide a higher level of abstraction (especially through objects inheritance) that is especially well-suited to represent complex biological data.
		An occurrence of a graph pattern in the data graph is a sub-graph of this data graph where the vertices and the edges fully satisfy the graph pattern constraints: topology, data type (or subtypes) of vertices and edges and constraints on attributes.
		Once a line is selected, the Graph Rider provides a graphic view of the corresponding sub-graph (Figure 7) and allows to browse the whole data graph by exploring the neighbours of displayed vertices.
	www.biomedcentral.com /1471-2105/7/21 (4968 words)

	Dictionary of Algorithms and Data Structures
		This is a dictionary of algorithms, algorithmic techniques, data structures, archetypal problems, and related definitions.
		Here are some references on algorithms and data structures.
		Data Structures and Algorithms is a wonderful site with illustrations, explanations, analysis, and code taking the student from arrays and lists through trees, graphs, and intractable problems.
	www.nist.gov /dads (686 words)

	Graph - Wikipedia, the free encyclopedia
		Graph (mathematics), a structure of vertices and edges in graph theory
		Graph (data structure), a data structure representing a graph
		HMS Graph (P715), a submarine of the Royal Navy.
	en.wikipedia.org /wiki/Graph (162 words)

	The diva.graph demo
		It consists of three parts, incremental programmatic construction of a simple graph, user editing of the graph, and finally automatic layout of the graph using a simple algorithm.
		Basic graph algorithms and other graph operations operate on the graph data structure, and side-effects changes to the view indirectly.
		Any other views on the graph render the edge in whatever way is appropriate to that view, and then update their layout.
	embedded.eecs.berkeley.edu /diva/demo/graph.html (639 words)

	STLplus Library - digraph.hpp - A Directed Graph Container
		A directed graph is a graph in which all arcs have a direction associated with them - so can be interrogated as to which node they come from and which they go to.
		const_iterator - a node iterator for const graphs
		The select function is passed both the graph and the arc iterator so that it is possible to select an arc on the basis of the nodes it is connected to.
	stlplus.sourceforge.net /stlplus/docs/digraph.html (4732 words)

	Graph Drawing Software Combinatorics Math Science
		Written in C++ and interfaced with the Qt library, it is particularly intended for graph theoretical research.
		It manages graphs with a number of elements (nodes and edges) up to 500,000 on a personal computer.
		It includes a graph editor, navigation features, an API for use by other programs and is available for Windows, Linux, FreeBSD and Solaris in English and German.
	www.iaswww.com /ODP/Science/Math/Combinatorics/Software/Graph_Drawing (448 words)

	Caml Weekly News (Site not responding. Last check: 2007-10-21)
		It seems to be the data structure you are looking for (that is an extension to usual sets and maps with a better support for interval query, insertion, removal,...) Erwig's paper is available from his home page, there is also a version by Olivier Andrieu.
		It could be included to one of the 'data structure projects' being developed in Caml.
		I also experimented a few LP algorithms mostly on Bender's decomposition to obtain a quasi-recursive scheme and to be able to use a persistent data structure (sparse arrays).
	pauillac.inria.fr /~aschmitt/cwn/2003.05.27.html (933 words)

	1.1.4 Graph Data Structures
		While there are several possible variations, the two basic data structures for graphs are adjacency matrices and adjacency lists.
		Building a good general-purpose graph type is surprisingly tricky and difficult.
		Note that it costs only time linear in the size of the larger data structure to convert between adjacency matrices and adjacency lists.
	www.cs.sunysb.edu /~algorith/files/graph-data-structures.shtml (436 words)

	CSCI 220 98F Project 4: Graph Coloring (Site not responding. Last check: 2007-10-21)
		Implement a data structure to support the storage of an undirected graph and the following operations on it.
		Degree(v) returns an integer which is the degree of vertex v in graph G. If v is not a valid vertex for the graph you have the choice of crashing the code or returning -1.
		A graph is colored if we can assign a color (integer in this case) to each vertex of the graph so that no vertices connected by an edge have the same color.
	www.cs.xu.edu /csci220/98f/project4.html (551 words)

	Data Structures for Graphs
		Selecting the right data structure to represent graphs can have an enormous impact on the performance of an algorithm.
		Most of the graphs that one encounters in real life tend to be sparse.
		It is a good idea to use a well-designed graph data type as a model for building your own, or even better as the foundation for your application.
	www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK2/NODE61.HTM (501 words)

	Dr. Dobb's \| Applying BGL to Computational Geometry \| April 15, 2003 (Site not responding. Last check: 2007-10-21)
		Second, and this applies particularly to problems in graph domains, an application often already has its own data representation and converting that data structure into some graph library format may severely degrade performance.
		Instead, you should superimpose the graph structure on the existing data in an implicit fashion by providing the right interface and then run your graph algorithm against that interface.
		I located the implementation [10], which was in plain C and produced only ASCII output (i.e., not an in-memory graph data structure).
	www.ddj.com /dept/cpp/184401546 (2158 words)

	ocamlgraph: an ocaml graph library (Site not responding. Last check: 2007-10-21)
		It provides an easy-to-use graph data structure together with several operations and algorithms over graphs, in Graph.Pack.
		It is a reasonably efficient imperative data structure for directed graphs with vertices and edges labeled with integers.
		One consequence is that you can define your own data structure for graphs and yet re-use all the algorithms from this library -- you only need to provide a few operations such as iterating over all vertices, over the successors of a vertex, etc. See module Path for an example.
	www.lri.fr /~filliatr/ocamlgraph (247 words)

	Java Graph Base [May 1998] (Site not responding. Last check: 2007-10-21)
		The graph is one of the most useful and powerful data structures in the field of Computer Science.
		The scope of this data structure spreads well beyond the realm of Computer Science and even academia; application areas include various fields of science, neural network applications, electrical engineering, operations research, sociology, communications and networking, transportation systems, scheduling systems, simulation systems, and so on.
		The primary advantage to using the graph data structure is its flexibility.
	www.cs.rpi.edu /research/groups/pb/jgb (225 words)

	Resource Description Framework (RDF): Concepts and Abstract Syntax
		The underlying structure of any expression in RDF is a collection of triples, each consisting of a subject, a predicate and an object.
		The nodes of an RDF graph are its subjects and objects.
		When graphs are merged, their blank nodes must be kept distinct if meaning is to be preserved; this may call for re-allocation of blank node identifiers.
	www.w3.org /TR/rdf-concepts (4679 words)

	Data Structure Articles \| Data Structure Tutorials \| Data Structure FAQ
		Data structures for storing information in tables, lists, trees, queues and stacks will be covered.
		This book is about the fundamentals of data structures and algorithms--the basic elements from which large and complex software artifacts are built.
		To develop a solid understanding of a data structure requires three things: First, you must learn how the information is arranged in the memory of the computer....
	www.geekarticles.com /Data-Structure/page1/sortpopularity (315 words)

	perl.com: Optimizing Your Perl
		This might be because you've chosen a data structure or algorithm that takes a long time to run.
		I developed a new graph module for a project at my day job, because the existing one was overkill, yet did not support a feature I needed.
		I modified graph so that in_edges were calculated when the new edge was being added.
	www.perl.com /pub/a/2002/02/12/bigo.html (815 words)

	Data Structure Sample Questions
		A data structure is a way of storing data in a computer so that it can be used efficiently.
		Different kinds of data structures are suited to different kinds of applications.
		Answer: A data structure is a way of organizing data that considers not only the items stored, but also their relationship to each other.
	www.bestsamplequestions.com /technical-questions/data-structure-sample-questions/data-structure-sample-questions.html (303 words)

	Class GraphPack.Graph (Site not responding. Last check: 2007-10-21)
		Graph implements a graph data structure with the additional feature of highlighted vertices and edges.
		return a directed graph which is equivalent to this graph: there will be an edge in each direction.
		insert a copy of graph g into this graph, with one of the new nodes at (x,y).
	www.cs.williams.edu /~lenhart/zarbiff/GraphPack.Graph.html (696 words)

	VRML documentation
		The scene graph data structure and manager are designed with a minimum of assumptions about the application in which it will be needed.
		During scene graph traversal, a callback routine for each type of node is called.
		Applications provide callback routines for scene graph nodes by creating a renderer sub-class in which default callback routines are superceeded.
	www.cs.kuleuven.ac.be /cwis/research/graphics/XRML/design.html (662 words)

	CSCI 220: Project 4
		Degree(G,v) returns an integer which is the degree of vertex v in graph G. If v is not a valid vertex for the graph you have the choice of crashing the code or returning -1.
		The graph format is exactly the same except a third integer is added on each edge description line indicating the weight (cost) of the edge.
		mstgraph1.out and mstgraph2.out are my output on these graphs (you don't need to output the entire original graph again, that's the remainder of my debugging scaffolding).
	www.cs.xu.edu /csci220/97f/project4.html (748 words)

	1.1 The graph list data structure (Site not responding. Last check: 2007-10-21)
		which is the simplest graph you can create (it is directed, has one node and one loop arc on this node).
		Flag giving the type of the graph; it is equal to 1 if the graph is directed or equal to 0 is the graph is undirected (REQUIRED).
		Default is computed when showing the graph in the Metanet window (see 3).
	pauillac.inria.fr /cdrom_a_graver/www/scilab/doc/metanet/node2.html (886 words)

	TM4J - Topic Maps For Java (Site not responding. Last check: 2007-10-21)
		The eventual goal of this sub-project is to provide both a toolkit for the creation of topic map browers and editors as well as reference implementations.
		The Panckoucke library provides a means for programmers to "lift" data from topic maps into a more application-specific data structure.
		That data structure can then be represented in a varient of formats including, but not limited to, a Java data structure and an XML representation.
	tm4j.org (191 words)

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