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Topic: Turán graph


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In the News (Wed 30 Dec 09)

  
 Derivatives of Inverse Functions
We denote the tangent line to the graph f at (y,x) by M. The slope of M is equal to the value of the derivative of f at y.
is that the slopes of the graphs of f and f
The differentiability theorem for inverse functions guarantees that the square root function is differentiable at x whenever f '(x)=2x is not equal to zero.
oregonstate.edu /instruct/mth251/cq/Stage6/Lesson/inverseDeriv.html

  
 Undefined: Points, Lines, and Planes
It should be clear that the Unique Line Assumption does not apply to lines in discrete geometry (part of different lines near each other) or graph theory (more than one arc connecting two nodes).
The geometry of a saddle shaped surface is known as hyperbolic geometry (from the Greek to exceed).
This geometry was popularized by Albert Einstein when he developed his theory of General Relativity with the notion that space is curved by the presence of mass.
www.andrews.edu /~calkins/math/webtexts/geom01.htm   (2311 words)

  
 20021110110020021110mar
There are relative versions of this problem: It IS decidable if a finite graph is embeddable into the Cayley graph of a finite commutative group, but NOT decidable if a finite graph is embeddable into the Cayley graph of a finite nilpotent group.
We list two problems here as examples: Problem 1: SUBGRAPHS OF FINITE CAYLEY GRAPHS Given a finite graph G with edges labelled by a finite alphabet X, is G embeddable into the Cayley graph of some finite group?
However the generalization to groupoids is undecidable: The class of subcategories of finite groupoids is undecidable.That is there is no algorithm to decide if a given finite category is a subcategory of a finite groupoid.
www.math.technion.ac.il /~techm/20021110110020021110mar   (2311 words)

  
 Mr. Ferris' Rides
Note, this is only an ESTIMATE of the equation. The real equation is much more concise. If you look at the graph, you'll see the new equation being graphed over top of the old one, as in Fig II.6.
Ferris has an idea for a new type of amusement ride. It will be a giant "wheel" on which people can ride in seats suspended along its perimeter. His initial concept is to use a wheel that has a radius of 10 meters with its bottom standing 1 meter off of the ground.
Ferris has once again decided to change his wheel. Instead of having his passengers embark at the bottom of the wheel, they will now get on after the wheel has completed an 8th of a turn with respect to the original lowest position - the bottom of the circle.
www.algebralab.com /practice/practice.aspx?file=Calculator_MrFerris.xml   (2311 words)

  
 Chapter 5. Building a Scene Graph
A scene graph can be a single node or a hierarchy of nodes, as shown in Figure 5-1.
As an action traverses a scene graph, variables set by the nodes in the scene graph change the graphical context, which, in turn, changes the objects in the scene according to the node values.
To complete the scene graph, you add children to any child nodes of the root node that are a group-type.
techpubs.sgi.com /library/dynaweb_docs/nt/SGI_Developer/books/Cos3C_PG/sgi_html/ch05.html   (1254 words)

  
 Order theory Details, Meaning Order theory Article and Explanation Guide
In this way, each order is seen to be equivalent to a directed acyclic graph, where the nodes are the elements of the poset and there is a directed path from a to b if and only if a ≤ b.
When equipped with all transitive edges, these graphs in turn are just special categories, where elements are objects and each set of morphisms between two elements is at most singleton.
For example, a function preserves directed suprema iff it is continuous with respect to the Scott topology (for this reason this order theoretic property is also called Scott-continuity).
www.e-paranoids.com /o/or/order_theory.html   (1254 words)

  
 Math 881, Spring 2005
Thus the Cayley graph is (p+1)-regular and its directed edges come in opposite pairs, which we may regard as simple undirected edges.
Use this to construct a graph with girth(G) ≥ 4 and χ(G) ≥ 4.
The article deals with multigraphs (with loops and multiple edges allowed), but it is easy to turn these into simple graphs.
www.mth.msu.edu /~magyar/graph   (1254 words)

  
 Graph paper in postscript format
As you know, plain graph paper is universally helpful for presenting data.
Plain 30x40 graph paper (.ps or.pdf) with every 5
Semi-log paper is useful for presenting rapidly growing functions.
homepages.gac.edu /~wolfe/courses/graph-paper   (265 words)

  
 Free Printable graph paper - recipe card - For Sale Sign - No Smoking
Here one can find graph paper and grid papers, of various sizes.
All your paper needs can now be taken care of from your home computer and printer.
Also found in this section is regular lined paper for when you just need one more piece for that report, or that special airplane for class.
www.paperprintout.com   (288 words)

  
 GD::Graph labeling
Yeah, what I'm looking to do is label certain points on the graph (like the maximum Y values).
The problem is if I turn labeling on with my "thousand points of light" I've got way too many data point labels and everything runs together.
Well, I'd like to label the maxima, or maybe the 10 biggest y values by using the show_values option.
perlmonks.thepen.com /82801.html   (288 words)

  
 Through the Looking Glass:\\Inverse Functions
The sketch to the left is the sine function's graph we saw just above: the sketch to the right is a portion of it that represents a one-to-one function.
This is a graph of the arccos or inverse cosine function, often written with the
The ''selected portion'' of the tangent function's graph, for the purposes of constructing an inverse function, is the portion between the vertical asymptotes at x =
www.math.unh.edu /mac/calc/invtrg.html   (288 words)

  
 Graph theory and de Bruijn diagrams
Graphs in turn have such diverse representations as their connectivity matrix or a system of symbolic equations expressing their connectivity, not forgetting simple paper sketches of graphs which are not overly complex.
Graphs provide a finite frame of reference for describing the multitudinous paths corresponding to the actual configurations of an automaton; an economy of presentation which fully justifies linking graph theory with even the theory of general automata.
In particular, the form of graphical representation known as the de Bruijn diagram [ 98 ] enters into many discussions, and can be used to organize a major portion of the theory.
delta.cs.cinvestav.mx /~mcintosh/newweb/lcau/node10.html   (288 words)

  
 Graph theory and de Bruijn diagrams
Graphs in turn have such diverse representations as their connectivity matrix or a system of symbolic equations expressing their connectivity, not forgetting simple paper sketches of graphs which are not overly complex.
Graphs provide a finite frame of reference for describing the multitudinous paths corresponding to the actual configurations of an automaton; an economy of presentation which fully justifies linking graph theory with even the theory of general automata.
Including or excluding links according to various properties of either the neighborhood or its image results in a considerable variety of subdiagrams, or graphs, to be used for further study.
delta.cs.cinvestav.mx /~mcintosh/newweb/lcau/node10.html   (288 words)

  
 Graph definitions
The intuitive notion of a graph is a drawing of (possibly labeled) nodes (often circles) with edges connecting some of them.
Graphs turn out to be a model that many problems can be translated to, and often solved.
You've already seen a special case of a graph, since a tree is an acyclic, connected graph with one node distinguished as the root (see definitions below).
www.cs.toronto.edu /~heap/270F02/node32.html   (288 words)

  
 yFiles - Java Graph Layout and Visualization Library
It offers you a powerful graph viewer component, which is showcased in the yEd Graph Editor application and other Swing-based GUI elements.
Furthermore, it makes available a wide variety of graph and network algorithms which in turn form an indispensable toolkit for a range of network analysis tasks.
It ensures the highly efficient implementation of advanced data types such as graph and priority queue.
www.yworks.de /en/products_yfiles_about.htm   (288 words)

  
 Application to Graph theory
Graph Theory is now a major tool in mathematical research, electrical engineering, computer programming and networking, business administration, sociology, economics, marketing, and communications; the list can go on and on.
In any dominance-directed graph there is at least one vertex from which there is a 1-step or a 2-step connection to any other vertex in the graph.
In the above graph, the vertices A, C and E have the following property: from each one there is either a 1-step or a 2-step connection to any other vertex in the graph.
aix1.uottawa.ca /~jkhoury/graph.htm   (288 words)

  
 OFF: Graph: Plotting Discontiguous Line and Scatter Graphs
When you create an xy (scatter) graph in Microsoft Graph, if your data is incomplete, the data points on your graph do not connect continuously.
NOTE: In Microsoft Graph 5 and higher, you can leave the space blank (in the datasheet) and turn on empty cells plotted as interpolated using the following steps:
This forces the scatter points to connect even when there is no data available.
support.microsoft.com /default.aspx?scid=kb;EN-US;101608   (288 words)

  
 Application to Graph theory
Graph Theory is now a major tool in mathematical research, electrical engineering, computer programming and networking, business administration, sociology, economics, marketing, and communications; the list can go on and on.
In any dominance-directed graph there is at least one vertex from which there is a 1-step or a 2-step connection to any other vertex in the graph.
In the above graph, the vertices A, C and E have the following property: from each one there is either a 1-step or a 2-step connection to any other vertex in the graph.
aix1.uottawa.ca /~jkhoury/graph.htm   (288 words)

  
 Spectral Graph Theory
The underlying graph itself is introduced in a natural way by a move set (mutation operator, search strategy) on the set of possible configurations or genes.
Mutation, Recombination, and Fitness Landscapes: Correlation Measures and Spectral Graph Theory
We conclude that the algebraic approach to fitness landscape analysis can be extended to recombination spaces and provides an effective way to analyze the relative hardness of a landscape for a given recombination operator.
non.fiction.org /~await/alife/talks/maley/nov11-96.html   (415 words)

  
 Enhanced Graph Models in the Web: Multi-client, Multi-head, Multi-tail Browsing
Freely combining graph semantics uses the fact that the SWGL is implemented as a stream of filters which interpret extended HTML as graph content.
Adding protocols for completely unrelated graph types would still require the addition of a great many filters, but that addition in turn gives a starting point to achieve all protocols which are closely related in the graph hierarchy.
Our graph layer generalizes this approach by offering authors a number of options for how their nodes and links are to be interpreted.
www.cs.ubc.ca /local/reading/proceedings/www5/www315/overview.htm   (3937 words)

  
 Paper4 - Dr. C. Tardif - Department of Mathematics and Computer Science of the Royal Military College of Canada
Let $\mbox{\em Cay}(A,S)$ be a Cayley graph, where $A$ is an abelian group.
{\em Kneser graph} $K(r,s)$ is the graph whose vertices are the
is simplified by the fact that the second factor is a complete graph.
www.rmc.ca /academic/math_cs/tardif/paper4/index_e.html   (2238 words)

  
 Spectral Graph Theory
The underlying graph itself is introduced in a natural way by a move set (mutation operator, search strategy) on the set of possible configurations or genes.
Many important examples of landscapes in physics and combinatorial optimization, which are widely used as model landscapes in simulations of molecular evolution and adaptation, are ``elementary'', i.e., they are (up to an additive constant) eigenfunctions of a graph Laplacian.
Mutation, Recombination, and Fitness Landscapes: Correlation Measures and Spectral Graph Theory
non.fiction.org /~await/alife/talks/maley/nov11-96.html   (415 words)

  
 Hemodialysis Machine
With all contemporary machines, the dialysate concentrate is fed into the machine, water is fed from a water tank and a marvelous pump mixes them to the desired concentration.
However, in many centers all machines are set to the same temperature, and in many cases it is too cold, in addition to the freezing air-condition.
To remove air from the blood lines and dialyzer, the machine should run for a few minutes with the dialyzer mounted upside down, that is, the red header is down and the blue one is up.
gil1.home.pipeline.com /esrd/dmachine.htm   (6461 words)

  
 FoRK Archive: Re: Software directions to ponder over...
programmer isn't thinking in terms of graph reduction.
reduction is a handy but old-fashioned way of implementing certain
combinators do turn up as special cases of HOF, and some more
www.xent.com /sept00/0869.html   (6461 words)

  
 Math Guide - Links to find out about Math
Dave's Math Tables - Theorems, proofs, tables, identities, graphs
Graph Theory is the branch of mathematics that involves the study of graphs.
Dave's Math Tables: Theorems, proofs, tables, identities, graphs
www.useekufind.com /learningquest/tmath.htm   (6461 words)

  
 Circling*Apollo
Some time ago Idiot from No Right Turn emailed me to ask if I wanted to participate in an exercise to graph the Kiwi blogosphere.
I see Idiot over at No Right Turn has gone and got himself a flash new sign for his sidebar.
There seems to be quite a few newcomers, no doubt as a result of NetGuide magazine's feature on blogging a couple of months back.
circlingapollo.blognz.com   (6461 words)

  
 preliminary4.htm
The easiest way to determine if this function is one-to-one is to look at the graph of the function and use the horizontal line text on it.
The common log function is y = log x, and the natural log function is y = ln x.
We will first interchange x with y, and then we will solve for y in terms of x.
faculty.eicc.edu /bwood/math150supnotes/preliminary4.htm   (604 words)

  
 Teaching Math via Problem Solving
Concept taught: How functions (and their tables and/or graphs) may be employed to solve problems.
Graph (preferably with technology), these two functions and look where x is "higher than" x^2.
Since the sum of the numbers 1 to 9 is 45, you can't divide them into two groups (6 digits and 3 digits) so that the two groups have the same sum.
www.wiu.edu /users/mfjro1/wiu/teachvia.ps/page1.htm   (1045 words)

  
 TA: The Tuple Attribute Language
TA is also a two level language, one level for recording "facts" (an actual graph with its attributes) and another level for recording the general scheme for the graph (the classes of edges and of attributes).
TA's concept of a graph is sometimes called a multigraph or a typed graph or a colored graph, which means that there can be more than one type (color) of edge.
This is the class of graphs formalized as a calculus of relations by Tarski [1955]; see also [Holt 1997].
plg.uwaterloo.ca /~holt/papers/ta-intro.htm   (3950 words)

  
 SE 520 -- HW 6, due 11/18/02, ITU Fall 2002
For the following graph (i) show different DFS tree, (ii) label all edges in the DFS tree tree, back, forward or cross, and (iii) show the d[v] and f[v] (discover and finish) values for all vertices.
A third DFS traversal on Gdog (the same graph) gives 5 tree edges.
A different DFS traversal of Gdog (the same graph) gives 7 tree edges.
quong.best.vwh.net /itu/se520/hw6.html   (826 words)

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