41. Supper Hard Riddle [Archive] - Mac Forums http//en.wikipedia.org/wiki/graph_theory graph theory so far my favourite math course ;) Graph theory is fascinating I wrote my economics thesis on it. http://forums.macrumors.com/archive/index.php/t-200900.html

Mac Forums Archive Archives of Old Posts Games ... PDA View Full Version : Supper Hard Riddle 05-15-2006, 04:25 PM This is something someone showed me 3 years ago, i solved it a year ago, and decided if anyone here can solve it. IT IS HARD. it took me two years. http://img115.imageshack.us/img115/1499/nighteatersriddle5xh.jpg (i will submit a better pic soon) Ok here is the rules you must draw the shape above, while following the conditions listed below You may use only one writing insturement You may not alter anyline you have drawn You may not draw over lines You may not lift up your writing instruement You may not alter your drawing space (ie, folding or cutting paper) Also inorder to prove you completed the task, u must submit a "comic strip" of each step Jaffa Cake 05-15-2006, 04:28 PM I've been trying to beat this one for the past 16 years. I suspect that I may have been told the rules wrong... :o Abulia 05-15-2006, 04:33 PM "Supper hard?" What, we can only do this just before dinner? :) 05-15-2006, 04:41 PM

42. - . . . , . http://math.eitan.ac.il/graph_theory/010_Rep/010_Rep_Basics.htm dir=rtl

43. Graph Theory graph theory . Draw two circles and connect them with a line, and you ve drawn a graph, as I intend it here. This very simple graph has two nodes and one http://www.seanmichaelragan.com/tags/graph_theory.shtml

"graph theory" Draw two circles and connect them with a line, and you've drawn a "graph," as I intend it here. This very simple graph has two nodes and one edge, and its more complex relations are often useful in visualizing and (hopefully) solving complex problems. I frequently find graphs to be extremely beautiful outside of any practical context. The Wikipedia page on graph theory is a good place to start if you are uninitiated. [2008-03-07] Choose Your Own Adventure book as directed graph [2008-01-11] EVE universe as Hamiltonian cycle sean@seanmichaelragan.com index

44. Fields Institute - Ottawa-Carleton Graph Theory Workshop Fields Logo. Home About Us Programs Activities Thematic Other Scientific Programs NPCDS/PNSDC Commercial Industrial Mathematics Education http://www.fields.utoronto.ca/programs/scientific/07-08/graph_theory/

Home About Us NPCDS/PNSDC Mathematics Education ... Search SCIENTIFIC PROGRAMS AND ACTIVITIES March 30, 2008 Ottawa-Carleton Graph Theory Workshop May 11-13, 2008 School of Mathematics and Statistics Carleton University, Ottawa Supported by Organizers: On-line Registration open until April 30 Fee: $20 Waived for post-docs ... Directions to Carleton This will be a three-day workshop in graph theory and applications, focusing on subareas in graph theory that have applications in optimization, computing, and network communications. The goal of this workshop is to bring top researchers in this area to Carleton to foster collaboration and to expose students to important problems in the growing field. The meeting will stimulate joint work among researchers both from Canada and from abroad and attract students and postdoctoral fellows from Ontario and Quebec. OVERVIEW There will be 5 speakers giving one-hour keynote lectures, two on each day of the three-day workshop. In addition, we are planning to have a two-hour tutorial lecture in a topic to be determined, aimed at graduate students and researchers entering the subarea. Time will be devoted to contributed talks allowing an afternoon for discussions.

45. Metaseek : ODP : Science : Math : Combinatorics : Graph_Theory : the entire directory, only in Combinatorics/graph_theory. Help build the largest humanedited directory on the web. Submit a Site - Open Directory Project http://www.pcdigest.net/dmoz/phod.php3?/Science/Math/Combinatorics/Graph_Theory/

46. Graph Theory | Open Problem Garden Pebbling a cartesian product Graham, , 0, mdevos Reconstruction conjecture Kelly; Ulam, , 0, zitterbewegung http://garden.irmacs.sfu.ca/?q=category/graph_theory

47. Graph Theory : New Features In Maple 11 : Maplesoft Maplesoft Products. For over 25 years, Maplesoft has been delivering powerful tools for any application that requires math. Select from the following http://www.maplesoft.com/products/Maple11/new/Pro/Graph_Theory.aspx

For Engineering Design For Scientific Research For Operations Research For Financial Analysis ... Contact Explore Maple 11: Maple 11 Professional Maple 11 Academic Maple 11 Student Use New Features: Professional ... Language Support How To Proceed: Maplesoft Web Store Request a Quote Contact Sales Tell Us Your Story - Win an iPod Featured: MaplePrimes MapleCast Maple Application Center Product Demonstrations ... Product History Stay Informed: Subscribe to the Maple Reporter Become a Member RSS Home ... New Features in Maple 11 : Graph Theory Graph Theory The new Graph Theory package provides a comprehensive set of tools for working with graphs and their applications. Supports directed graphs, undirected graphs, and graphs with edge weights, and includes over 150 functions and over 35 pre-defined special graphs Sophisticated algorithms for visualizing graphs in both two and three dimensions have been developed specifically for this package Includes tools for the import and export of graph data using other standard formats

48. Graph Theory Applications Ioan Tomescu 1) Basic Definitions Graph Theory Applications Ioan Tomescu. 1) Basic definitions. Trees. Cyclomatic and cocyclomatic numbers of a graph. Kruskal s algorithm for minimum http://www.sms.edu.pk/graph_theory.php

Ioan Tomescu 1) Basic definitions. Trees. Cyclomatic and cocyclomatic numbers of a graph. Kruskal's algorithm for minimum spanning tree. 2) Eulerian and bipartite graphs. Characterization theorems. 3) Planar graphs and convex polyhedra. Euler's formula and the five colour theorem. 4) Flows in networks. Ford-Fulkerson's theorem and algorithm for integer capacities. Applications to bipartite graphs. 5) Flows of minimum cost in networks. 6) h-Connected graphs and Menger's theorems. 7) Colouring problems: greedy algorithm, Brook's theorem, chromatic index of a bipartite graph and applications to Clos networks. Chromatic polynomials. 8) The spectrum of a graph and the adjacency algebra; Hoffman's theorem and spectra of regular graphs.Harary's theorem. References 1) B.Bollobas, Modern graph theory, Springer-Verlag, New York,1998. 3) N.Biggs, Algebraic graph theory, Cambridge University Press,1974. 4) R.E.Tarjan, Data structures and network algorithms, SIAM, Philadelphia,1989.

49. Graph Theory And RNA Structures Since RNA secondary structures are essentially 2D networks, they can be represented using planar graphs to facilitate analysis of RNA structures. http://www.biomath.nyu.edu/rna/tutorials/graph_theory.html

Graph Theory and RNA Structures Home RNA Tutorials RNA Structure Spectral Graph Analysis ... Clustering RNA Motifs Since RNA secondary structures are essentially 2D networks, they can be represented using planar graphs to facilitate analysis of RNA structures. Indeed, modeling network motifs using graphs has proven to be fruitful for many complex systems in biochemistry, neurobiology, ecology, and engineering. Graph Theory is a branch of mathematics that deals with configurations described by nodes and connections. The configurations may represent physical networks, such as electrical circuits or chemical compounds, where atoms and bonds are modeled as nodes and connections, respectively. Formally, such configurations are modeled by graphs consisting of vertices or nodes (o) and edges or lines (-), which connect the vertices. In our work, we use planar graphs, whose vertices and edges are drawn in a 2D plane. Figures A and B show examples of tree (A) and non-tree (B) planar graphs. These are connected graphs since every pair of vertices in the graph is connected by one or more paths; a path is a ``walk'' from a vertex to another with no repeated edges or vertices. A tree is a connected graph whose vertex connections do not form closed paths (e.g., no triangles). Hydrocarbon molecules, such butane and isobutane, can be represented using trees or tree graphs. In fact, the use of tree graphs to count possible hydrocarbon structures played a significant role in the development of graph theory through the graphical enumeration theorem of Arthur Cayley. We exploit this and other tree enumeration theorems to count RNA's topological motifs. For RNA pseudoknots, non-tree graphs are required to describe their complex patterns of connectivity involving closed paths or faces (Figure B).

50. Graph Theory :: View Forum - Everything Else Register • Search • FAQ • Memberlist • Usergroups • Log in Graph Theory Forum Index » Everything else. The time now is Wed Mar 12, 2008 343 am http://www.dailyescape.de/doerr/graph_theory/viewforum.php?f=5&sid=0d0bdaaad655d

51. HR - Automatic Theory Formation In Pure Mathematics 12. HR WORKING IN GRAPH THEORY. Subsections Diagrams Graph Types Numerical Invariants. This is under construction, please bear with me. http://www.dai.ed.ac.uk/homes/simonco/research/hr/graph_theory.html

12. HR WORKING IN GRAPH THEORY Subsections: Diagrams Graph Types Numerical Invariants This is under construction, please bear with me. At present, HR works only with connected graphs, but there is no reason why it shouldn't work with graphs in general. HR uses three tables to represent connected graphs, one for the nodes, one for the edges and one for the relation: node a is on edge e. For example, these graphs: are represented by these tables: This representation allows HR to re-invent many graph theory concepts, including types of graph and numerical invariants, as discussed below. HR works with the connected graphs with four or less nodes, but can access the connected graphs with up to six nodes for disproving conjectures, etc. Diagrams of Graphs ?- view::gt_concept(31). Also, HR can identify nodes, or edges of a particular type, eg. concept 12 was the centre node of stars, and when asked to show this concept, HR puts square boxes around the nodes in question: ?- view::gt_concept(12). Also, HR can display all the graphs of a given type from its store for counterexample finding. For example, concept 86 was the re-invented concept of complete graphs (ie. every pair of nodes joined by an edge). Asked to display all these, we see: ?- view::all_graphs_of_type(86).

52. Node (graph Theory) | English | Dictionary & Translation By Babylon node (graph theory). Dictionary terms for node (graph theory) in English, English definition for node (graph theory), Thesaurus and Translations of node http://www.babylon.com/definition/node_(graph_theory)/English

node (graph theory) Define node (graph theory) Translate node (graph theory) node (graph theory) in Chinese node (graph theory) in French node (graph theory) in Italian node (graph theory) in Dutch ... Download this dictionary Vertex (graph theory) For other uses, see vertex . In graph theory , a vertex (plural vertices) or node is the fundamental unit out of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph consists of a set of vertices and a set of arcs (ordered pairs of vertices). From the point of view of graph theory, vertices are treated as featureless and indivisible objects, although they may have additional structure depending on the application from which the graph arises; for instance, a semantic network is a graph in which the vertices represent concepts or classes of objects. See more at Wikipedia.org... This article uses material from Wikipedia and is licensed under the GNU Free Documentation License Translate: English Chinese (S) Chinese (T) Croatian Dutch French German Hebrew Italian Japanese Korean Portuguese Russian Serbian Spanish Swedish Turkish Additional Use Babylon to translate to various languages

53. Search - TMU - Darya Searched database for schema = (dc_article or general or simple) AND subject = (graph_theory), Result 21 39 of about 39. in 0.062 seconds. http://194.225.166.45/darya/search.php?s=dc_article&frm[TAG][]=subject&frm[q][]=

54. Graph Theory Glossary Graph Theory Glossary. This series of definitions and discussions uses mathematical language, and is intended to set forth as precisely as possible the http://exchange.manifold.net/manifold/manuals/manifold/networks/graph_theory/gra

Graph Theory Glossary This series of definitions and discussions uses mathematical language, and is intended to set forth as precisely as possible the conceptual terminology used within the mathematical side of Manifold. Changes in Nomenclature Manifold System versions before Release 3.00 use the standard mathematical terminology of graph theory. Manifold releases from Release 3.00 onward use a more commercial, relaxed style of language that is drawn from networking industry terminology. The following table shows changes in terminology that have occurred throughout menu systems, command names, and the non-mathematical portions of Manifold System documentation. Note that the more technical and more mathematical parts of Manifold documentation have not been rewritten using the simpler terminology, nor have the technical names of Manifold functions used within scripts or C++ programming. Previous New graph network vertex node edge link articulation points critical points isthmuses critical links oriented network directed network unoriented network undirected network Hamilton cycle Loop through all Nodes Euler cycle Loop through all Links Euler chain Path through all Links chain path cycle loop Our motivation for making these changes has been to make Manifold and the practical utilization of graph theory more usable by a wider audience. We feel that whereas mathematicians will immediately know that a "path through all links" is an Euler chain, very few computer users would recognize the term "Euler chain". If we use the terminology "path through all links" then everyone knows what it is all of the time.

55. Maple 11 New Features - Adept Scientific Plc Maple from Adept Scientific Looking for a source for Maple maths software? Adept has all the information you need. Maple 11 New Features - Adept http://www.adeptscience.co.uk/products/mathsim/maple11/aca/graph_theory.html

Adept Scientific - English The world's best software for research, science and engineering. Adept Store Join My Adept Home Products ... Jobs Search UK Site Browse Products Login Edit Account Shopping Basket The Next Steps Ask us a question Maple Product Tour Buy Maple Now View Maple Pricing ... Read our RSS Feeds Learn More Maple Home Maple 11 Professional Maple 11 Academic Maple 11 Student Use ... Product Comparison Chart Latest Information New Features: Professional New Features: Academic The Maple Reporter The Maple Reporter ... Numerical Algorithms Group (NAG) Maple Primes blogs, forums etc Elite Maintenance Program Application Centre Powertools Maple User Group (MUG) ... Join the Maple User Group (MUG) Search the Knowledge Base Technical Support request Maple Graph Theory The new Graph Theory package provides a comprehensive set of tools for working with graphs and their applications. Supports directed graphs, undirected graphs, and graphs with edge weights, and includes over 150 functions and over 35 pre-defined special graphs Sophisticated algorithms for visualizing graphs in both two and three dimensions have been developed specifically for this package Includes tools for the import and export of graph data using other standard formats Ready to buy?

56. Keyword: Graph TheoryePrints@IISc - Open Access Archive Of IISc Research Publica Keyword Graph theory. Chandran, Sunil L (1999) A high girth graph construction and a lower bound for hitting set size for combinatorial rectangles. http://eprints.iisc.ernet.in/view/keyword/Graph_theory.html

Home About Browse Search ... Help Keyword: Graph theory Chandran, Sunil L A high girth graph construction and a lower bound for hitting set size for combinatorial rectangles In Proceedings , pages pp. 283-290 Chennai, India Chandran, LS A linear time algorithm for enumerating all the minimum and minimal separators of a chordal graph In Proceedings 7th Annual International Computing and Combinatorics Conference,COCOON'01 (Lecture Notes in Computer Science) , pages pp. 308-317 Guilin, China Sebastian, MP and Jenkins, L and Rao, Nagendra PS Petersen-twisted cube: a new multiprocessor interconnection network In Proceedings of First International Workshop on Parallel Processing , pages pp. 597-602 Bangalore, India Subramanian, CR and Veni, Madhavan CE Coloring semi-random graphs in polynomial expected time In Proceedings Foundations of Software Technology and Theoretical Computer Science. 14th Conference. Proceedings , pages pp. 137-148 Madras, India Kannan, N and Vishveshwara, S Identification of side-chain clusters in protein structures by a graph spectral method Journal of Molecular Biology pp. 441-464

57. Graph Theory - Mahalo Graph Theory is the study of graphs used in mathematics to show relationship between items of a collection. Fast Facts Is a branch of Discrete Mathematics http://www.mahalo.com/Graph_Theory

var noads = false; Mahalo.com New! Mahalo Follow 2.0 Mahalo Social Login Create Account ... Education Graph Theory Guide Note: Graph Theory is the study of graphs used in mathematics to show relationship between items of a collection. Fast Facts: Is a branch of Discrete Mathematics Leonhard Euler is first known contributor Applications are usually with labeled graphs Used in sociology , chemistry and physics Related areas of mathematics are combinatorics and group theory Most famous problem is the four color problem Also try: Number Theory The Mahalo Top 7 Wikipedia: Graph Theory The Beauty of Mathematics: Graph Theory and the Web Map Florida Atlantic University: Graph Theory Leibniz Laboratory: An Overview of Graph Theory Hofstra University: Graph Theory: Definition and Properties Los Alamos National Laboratory: Graph Theory Indiana University: Graph Theory Review Graph Theory Recent News Google News: Graph Theory Science News Online: Sudoku and Graph Theory (July 7, 2007) Scientific American: "Graph Theory and Teatime" (March 2007) Graph Theory History and Information Kent University: Graph Theory History Digital Neurons: Origins and Development of "Graph Theory" (June 7, 2007)

58. Kids.Net.Au - Encyclopedia Graph Theory A graph is a set of dots, called vertices or nodes, connected by links, called edges or arcs. Depending on the applications, edges may or may not have a http://www.kids.net.au/encyclopedia-wiki/gr/Graph_theory

Web Kids.Net.Au Web Sites Encyclopedia Dictionary Thesaurus Search Web Kids.Net.Au Encyclopedia Sponsors Encyclopedia > Graph theory Article Content Graph theory Graph theory is the branch of mathematics that examines the properties of graphs A graph with 6 vertices and 7 edges. A graph is a set of dots, called vertices or nodes, connected by links, called edges or arcs. Depending on the applications, edges may or may not have a direction; edges joining a vertex to itself may or may not be allowed, and vertices and/or edges may be assigned weights, i.e. numbers. If the edges have a direction associated with them (indicated by an arrow in the graphical representation) we have a directed graph Structures that can be represented as graphs are ubiquitous, and many problems of practical interest can be formulated as questions about certain graphs. For example, the link structure of Wikipedia could be represented by a directed graph: the vertices are the articles in Wikipedia, and there's a directed edge from article A to article B if and only if A contains a link to B . Directed graphs are also used to represent finite state machines . The development of algorithms to compute certain properties of graphs is therefore of major interest in computer science Table of contents showTocToggle("show","hide")

59. Math: Combinatorics: Graph Theory: Books Links. Douglas West s Books Home page of D. West with description of his books Introduction to Graph Theory, Mathematical Thinking ProblemSolving and http://www.spacetransportation.org/Math/Combinatorics/Graph_Theory/Books/index.h

Math: Combinatorics: Graph Theory: Books Home Add Url About Us Contact Us ... Graph Theory : Books Advertising Links Douglas West's Books Home page of D. West with description of his books: Introduction to Graph Theory, Mathematical Thinking: Problem-Solving and Proofs, Combinatorics: A Core Course, The Art of Combinatorics. http://www.math.uiuc.edu/~west/ Graph Theory and Its Applications The purpose of www.graphtheory.com is to provide information about the textbook Graph Theory and Its Applications and to serve as a comprehensive graph theory resource for graph theoreticians and students. http://www.graphtheory.com/ Graph Theory By Reinhard Diestel. http://www.math.uni-hamburg.de/home/diestel/books/graph.theory/ Graph Theory 1736-1936 Two centuries of Graph Theory, by Norman L. Biggs, E. Keith Lloyd, and Robin J. Wilson. http://www.oup-usa.org/toc/tc_0198539169.html Graph Coloring Problems Archives for the book "Graph Coloring Problems" by Tommy R. Jensen and Bjarne Toft (Wiley Interscience 1995) http://www.imada.sdu.dk/Research/Graphcol/ Algebraic Graph Theory Home page for graduate level textbook "Algebraic Graph Theory" by Chris Godsil and Gordon Royle, published by Springer-Verlag, 2001.

60. Wiki Graph Theory Wapedia Wiki Wiki Graph theory. Contents 1. History 2. Drawing graphs 3. Graphtheoretic data structures 3. 1. List structures http://wapedia.mobi/en/Graph_theory

Wiki: Graph theory Contents: 1. History 2. Drawing graphs 3. Graph-theoretic data structures 3. 1. List structures ... Wapedia: For Wikipedia on mobile phones

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