background preloader

Graph theory

Graph theory
Refer to the glossary of graph theory for basic definitions in graph theory. Definitions[edit] Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph[edit] Other senses of graph stem from different conceptions of the edge set. All of these variants and others are described more fully below. The vertices belonging to an edge are called the ends, endpoints, or end vertices of the edge. V and E are usually taken to be finite, and many of the well-known results are not true (or are rather different) for infinite graphs because many of the arguments fail in the infinite case. (the number of vertices). For an edge {u, v}, graph theorists usually use the somewhat shorter notation uv. Applications[edit] The network graph formed by Wikipedia editors (edges) contributing to different Wikipedia language versions (nodes) during one month in summer 2013.[3] History[edit] The Königsberg Bridge problem "[...] Related:  Graph_UML_Urban_planningprogrammazione, linguaggi, codingmodel 13

Graph (mathematics) The edges may be directed or undirected. For example, if the vertices represent people at a party, and there is an edge between two people if they shake hands, then this is an undirected graph, because if person A shook hands with person B, then person B also shook hands with person A. In contrast, if there is an edge from person A to person B when person A knows of person B, then this graph is directed, because knowledge of someone is not necessarily a symmetric relation (that is, one person knowing another person does not necessarily imply the reverse; for example, many fans may know of a celebrity, but the celebrity is unlikely to know of all their fans). This latter type of graph is called a directed graph and the edges are called directed edges or arcs. Vertices are also called nodes or points, and edges are also called arcs or lines. Definitions in graph theory vary. Other senses of graph stem from different conceptions of the edge set. (the number of vertices). A directed graph.

Data Model Prototype | Computational Urban Design Research Studio | Page 4 Laster semester we utilize two kinds of clustering algorithms to do our analyze. The first one is distance based clustering, the second one is grid based clustering. Although logically they are very similar, both of them are forming clusters based on distances, they are different in doing this, and results can be different. Below is the logic of these 2 algorithms. A. distance based clustering: 1. 2. B. 1. 2. 3. Blow is the SQL for Grid based clustering WITH clstrtags AS ( SELECT *, tag.geom as tgeom FROM gridcluster(30,’urbantag’,’geom’) as grid JOIN urbantag as tag ON st_contains(st_setsrid(grid.geom,3435),st_setsrid(tag.geom,3435)) ORDER BY rid,cid ), counts AS (SELECT count(tagid) as count, clusterid, activity FROM clstrtags GROUP BY clusterid, activity), countss AS (SELECT count(tagid) as count, clusterid FROM clstrtags GROUP BY clusterid)

Hyperlink Studio | Simple Brainstorming and Mind mapping Tool Manual Thinking is created by Luki Huber (Luzern, 1973) and Gerrit Jan Veldman (Leicester, 1983), who initially developed the tool for internal use in their product design studio situated in Barcelona. The tool has taken shape and has been tested during extensive collaborations with clients where organization, creativity and teamwork have been essential for success. In December 2009 the design studio moved to its actual location in the center of Barcelona, which has been arranged as a space where clients are invited to co-create on their projects together with the studio’s team members and other strategic guests. The Manual Thinking tool plays a central role in this process, enabling newly formed teams with participants of different backgrounds and nationalities to work with each other in an effective manner from the very minute they enter the studio! zp8497586rq www.lekue.es

Discrete mathematics The set of objects studied in discrete mathematics can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in discrete steps and store data in discrete bits. Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in branches of computer science, such as computer algorithms, programming languages, cryptography, automated theorem proving, and software development. Conversely, computer implementations are significant in applying ideas from discrete mathematics to real-world problems, such as in operations research. Grand challenges, past and present[edit] Topics in discrete mathematics[edit] Theoretical computer science[edit] Information theory[edit]

Community Overview | Astah.net It's time to try Astah for free! Astah Community is an add-on tool for your UML that is ready to use the instant you download it, allowing your UML to be quickly and easily enhanced, and refining your development process with Astah's innovative modeling approach. FAQ: Can Astah Community be used for commercial projects? Included Features Instantly suggest features to modelsAutomatically aligns actors, UseCase, and ClassesCustomizable key-shortcuts to increase diagrams functionality When added to UML 2.x, these features will streamline your basic modeling process, making it simple to create, yet dynamic and powerful. information architecture Introduction This lesson discusses ideas associated with the phrase "information architecture" and relates them to aspects of the library- and information-science (LIS) professions. Origin of the Phrase, "Information Architecture" The phrase "information architecture" appears to have been coined, or at least brought to wide attention, by Richard Saul Wurman, a man trained as an architect but who has become also a skilled graphic designer and the author, editor, and/or publisher of numerous books that employ fine graphics in the presentation of information in a variety of fields. In the 1960s, early in his career as an architect, he became interested in matters concerning the ways in which buildings, transport, utilities, and people worked and interacted with each other in urban environments. Wurman views architecture as the science and art of creating an "instruction for organized space." Information Architecture Emphasizing Graphic Design In this abstract map, Wurman shows: Schemes Summary

MATLAB - The Language of Technical Computing MATLAB® is a high-level language and interactive environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java™. You can use MATLAB for a range of applications, including signal processing and communications, image and video processing, control systems, test and measurement, computational finance, and computational biology.

Network theory A small example network with eight vertices and ten edges. It has applications in many disciplines including statistical physics, particle physics, computer science, electrical engineering, biology, economics, operations research, and sociology. Applications of network theory include logistical networks, the World Wide Web, Internet, gene regulatory networks, metabolic networks, social networks, epistemological networks, etc; see List of network theory topics for more examples. Euler's solution of the Seven Bridges of Königsberg problem is considered to be the first true proof in the theory of networks.[1] Network optimization[edit] Network analysis[edit] Social network analysis[edit] Visualization of social network analysis.[2] Biological network analysis[edit] With the recent explosion of publicly available high throughput biological data, the analysis of molecular networks has gained significant interest. Narrative network analysis[edit] Narrative network of US Elections 2012[6] Spread[edit]

Fred Madiot: Performing multi-viewpoint analysis : Thales case-study From now, on this blog, my posts mainly described case-studies where model-driven engineering (MDE) has been used to produce code or modernize existing software systems. Another domain where MDE is widely used is System Engineering. In this domain, Thales has acquired a strong experience with the Arcadia approach. Arcadia is a model-based architecture engineering approach which has been tooled up in Eclipse with Melody Advance, a generic workbench developped by Thales Engineering & Process Management with the assistance of Obeo. Based on EMF and GMF, Melody Advance allows other Thales entities to create their own modeling tools. Arcadia has been presented at MD Day 2011 by Jean-Luc Voirin, the System and Software Engineering Director of Research & Technology at Thales Aerospace & Mission Systems Division. This approach has several objectives: Thanks to Melody Advance technology, this tool is easily customizable: Thales can define its own graphical representations and validation rules.

torus interconnect Diagram of a 3-dimensional torus interconnect. It is not limited to 8 nodes but can consist of any number of nodes in a similar rectilinear array. A torus interconnect is a network topology for connecting processing nodes in a parallel computer system. A number of supercomputers on the TOP500 list use three-dimensional torus networks, e.g. Visualization[edit] In a two-dimensional torus interconnect, the nodes are imagined laid out in a two-dimensional rectangular lattice of rows and columns, with each node connected to its 4 nearest neighbors, and corresponding nodes on opposite edges connected. Higher-dimensional arrays can't be directly visualized, but each higher dimension adds another pair of nearest neighbor connections to each node. See also[edit] References[edit]

Storage options MindMup supports several storage options for your maps. They have hugely different capabilities and constraints. Once a map is modified, the toolbar and menu bar show the save button. The icon next to Save shows the currently selected storage option. Clicking on Save (blue) button directly will save to that storage. Clicking on the icon will open a drop-down with storage options, and allow you to select an alternative option for storage. MindMup Anonymous Public Storage. Storage capabilities and constraints Storage options have different constraints and limitations.

List of graphical methods List of graphical methods From Wikipedia, the free encyclopedia Jump to: navigation, search There is also a list of computer graphics and descriptive geometry topics. Contents [hide] Simple displays[edit] Set theory[edit] Descriptive geometry[edit] Engineering drawing[edit] Systems analysis[edit] Cartography[edit] Biological sciences[edit] Physical sciences[edit] Business methods[edit] Conceptual analysis[edit] Statistics[edit] See also: Statistical graphics Other[edit] External references[edit] Retrieved from " Categories: Navigation menu Personal tools Namespaces Variants Views Actions Navigation Interaction Tools Print/export Languages Edit links This page was last modified on 17 January 2014 at 14:47.

Module: UML Designer UML Designer is a graphical tool to edit and vizualize UML 2.4 models. It uses the standard UML2 metamodel provided by Eclipse Foundation and it implements the following generic UML diagrams: Package HierarchyClass DiagamComponent DiagramObject DiagramComposite Structure DiagramDeployment DiagramUse Case DiagramActivity DiagramState MachineSequence DiagramProfile Diagram For those seeking to generate code from their UML diagrams, the UML Designer is compatible with the free UML to Java code generator. As it is based on Obeo Designer, it provides an easy way to combine UML with domain specific modelling. This designer is free (open-source with EPL license). You can easily modify it with Obeo Designer to adapt each diagram to your needs or combine it to your own DSL. More detail Here. If you have any feedback, tell us on the forum, fill in our survey or report an issue. Owner: Obeo License: EPL Status: Production/Stable Eclipse Version: 4.3 OD version : Unknown Support Update site Source code

Related: