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Topic: Degree distribution


In the News (Wed 16 Dec 09)

  
  Complex network - Wikipedia, the free encyclopedia
Most real world networks can be considered complex on account of their having several topological features that do not exist in simple networks, e.g., a heavy-tail in the degree distribution, a high clustering coefficient, assortativity or disassortativty among vertices, community structure at many scales and evidence of a hierarchical structure.
A network is named scale-free if its degree distribution, i.e., the probability that a node selected uniformly at random has a certain number of links (degree), follows a particular mathematical function called a power law.
Networks with a power-law degree distribution can be highly resistant to the random deletion of vertices, i.e., the vast majority of vertices remain connected together in a giant component.
en.wikipedia.org /wiki/Complex_network   (915 words)

  
 Getting Started
(i) is a polynomial of degree 1 in i and f
The following statements use the PDLREG procedure to regress Y on a distributed lag of X. The length of the lag distribution is 4, and the degree of the distribution polynomial is specified as 3.
The lag distribution coefficients are the coefficients of the lagged values of X in the regression model.
www.uni.edu /sasdoc/ets/chap15/sect2.htm   (666 words)

  
 CPC - Temperature to Degree Day File
Degree days are estimated from the climatological correspondence between the seasonal mean temperature, and the heating or cooling degree days for that season.
Whenever the distribution of heating or cooling degree days is not normally distributed the expected value of the heating degree days should be computed to obtain the best estimate of the forecast heating or cooling degree days for the season (See below), although the 50 percentile value can be used as an approximation.
The degree day to temperature translation is non-linear, so the mean degree days cannot be found by applying the formula in the temperature-to-degree day files to the mean temperature.
www.cpc.ncep.noaa.gov /pacdir/NFORdir/HUGEdir2/translation2.html   (1182 words)

  
 A Simulation-Based Evaluation of an Exponential Growth Copying Model for the Web-Graph
We derive the in and out degree distributions of the resulting graphs for various parameter values and measure them against the reported power-laws for in and out degrees.
In and out degrees of all vertices (removing self-loop edges) and the corresponding degree probability distributions for each run are then computed, and averaged over the 5 runs of each parameter vector.
We concluded that the in-degree probability distribution of the resulting graph, for all parameter vectors, is very close to the empirical distribution of the WWW (power-law with factor –2.1).
www2003.org /cdrom/papers/poster/p159/p159-kogias.html   (1388 words)

  
 Scale-free network - Wikipedia, the free encyclopedia
In this form, essentially all graphs with a power law degree distribution were grouped together as "scale-free".
The properties of these random graphs are not consistent with the properties observed in scale-free networks, and therefore a model for this growth process is needed.
The scale-free properties of the Web have been studied, and its distribution of links is very close to a power law, because there are a few Web sites with huge numbers of links, which benefit from a good placement in search engines and an established presence on the Web.
en.wikipedia.org /wiki/Scale-free_network   (1238 words)

  
 Degree distribution - Wikipedia, the free encyclopedia
In the mathematical field of graph theory the degree distribution of a graph is a function describing the total number of vertices in a graph with a given degree (number of connections to other vertices).
where v is a vertex in the set of the graph's vertices V, and deg(v) is the degree of vertex v.
The degree distribution is a common way of classifying graphs into categories, such as Random graphs (Poisson distribution) and Scale-free networks (Power law distribution).
en.wikipedia.org /wiki/Degree_distribution   (137 words)

  
 Nat' Academies Press, Dynamic Social Network Modeling and Analysis: Workshop Summary and Papers (2003)
It is argued here that there is no general straightforward relation between the degree distribution on one hand and structural aspects on the other hand, as this relation depends on further characteristics of the presumed mode] for the network.
Degrees often are constraints in, but also consequences of, the processes that generate networks and determine network dynamics.
It is argued here that the degree distribution is a primary characteris- tic for the structure of digraphs but many other features, such as transi- tivity, occurrence of cycles, segmentation into subgroups, etc., are also of great importance.
www.nap.edu /books/0309089522/html/146.html   (4199 words)

  
 Texas A&M University Graduate Catalog 2004-2005 Edition   (Site not responding. Last check: 2007-10-11)
The MID degree is a non-thesis degree for which a final oral examination is not required.
This proposed degree plan must be typed and submitted on the official form as it appears on the website at ogs.tamu.edu/OGS/currentForms.htm with an endorsement by the Director of the MID Program Office.
All degree requirements must be completed within a period of seven consecutive years for the degree to be granted.
www.tamu.edu /admissions/GCatalog2004-5/DegreeInfo/MoIndDist.htm   (694 words)

  
 Progressive Distributor - Industry links
Offering a Bachelor of Science degree in Industrial Distribution, UAB's program is housed in nationally accredited schools of business and engineering and prepares individuals for entry level positions in sales, sales management, operations management and mid-management with distributors and manufacturing firms selling through wholesaler-distributors.
The program in Distribution Management at the University of Southern California is managed under the auspices of the Departments of Marketing and Information/Operations Management in the School of Business Administration.
DLE is a degree option within Industrial Engineering and meets the increasing demands of complexity and performance in the industrial world.
www.progressivedistributor.com /progressive/indlinks/schools.htm   (1260 words)

  
 Degree distributions
The degree of a node provides a first-level quantification of the fault tolerance of that node in a given topology.
We say that a graph has a skewed degree distribution if its node degrees are distributed over a wide range with a few large node degrees and a high percentage of the nodes are leaves.
The degree distribution will not be affected much due to a few missing links.
www.usenix.org /event/usenix02/full_papers/subramanian/subramanian_html/node31.html   (514 words)

  
 Degree of consanguinity - Hutchinson encyclopedia article about Degree of consanguinity   (Site not responding. Last check: 2007-10-11)
Relationship by blood, whether lineal (for example by direct descent) or collateral (by virtue of a common ancestor).
The degree of consanguinity is significant in laws relating to the inheritance of property and also in relation to marriage, which is forbidden in many cultures between parties closely related by blood.
This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.
encyclopedia.farlex.com /Degree+of+consanguinity   (113 words)

  
 Chung-Yuan Huang, Chuen-Tsai Sun and Hsun-Cheng Lin: Influence of Local Information on Social Simulations in ...
In Experiment 1, the weighted vertex degree attribute was set according to the experiment's specific needs and the parameters used to generate the SWN model; each vertex degree attribute had a completely different setting in terms of topological structure.
Since the average degree of separation between any two individuals in a SWN model is very low, we looked at the question of whether the potential for a large-scale epidemic is affected by a minority of weak individuals who are especially prone to the disease.
Therefore, regardless of the distribution of weak individuals in a social network (e.g., condensed cluster or random distribution), the average degree of separation between weak and ordinary individuals is still 2.45.
jasss.soc.surrey.ac.uk /8/4/8.html   (7175 words)

  
 Evolution of document networks -- Menczer 101 (Supplement 1): 5261 -- Proceedings of the National Academy of Sciences
Distributions of degree (citation count) of PNAS articles, as predicted by the two mixture models.
Distribution of content similarity among titles and abstracts of articles that cite one another, as predicted by the two mixture models.
distribution with a fatter tail and a peak for
www.pnas.org /cgi/content/full/101/suppl_1/5261   (2230 words)

  
 • Associate Arts, Oregon Transfer Degree •   (Site not responding. Last check: 2007-10-11)
Students who complete the degree and are accepted at Oregon public universities will be admitted as having completed all lower division comprehensive and General Education requirements for a baccalaureate degree.
Distribution courses must total 17 courses, with a maximum of six courses in any single distribution area.
Degree candidates must demonstrate competency in basic mathematics and writing skills within five years before receiving their degree.
www.tbcc.cc.or.us /tgsd_aaot.html   (2308 words)

  
 A maximum likelihood based model selection approach to topology classification for biological networks   (Site not responding. Last check: 2007-10-11)
The determination of the form of the degree distribution has often been done by fitting the distribution to a certain class of function and observing that the deviation is small.
We speculate that true positive edges and false positive edges may be drawn from different underlying distributions, so we consider combination models that are the sum of two basic degree distribution models.
Preliminary results suggest that the degree distribution of several networks previously described as scale-free is in fact more complicated than this, and that the degree distributions for true protein interactions and false positives in yeast two-hybrid experiments are different.
www.iscb.org /ismb2004/posters/debgAThms.harvard.edu_509.html   (414 words)

  
 Marketing and Distribution AA Degree and Certificate of Achievement - Curriculum Guides - Ohlone College   (Site not responding. Last check: 2007-10-11)
Students who will be graduating using a different catalog for their degree requirements should see a counselor and/or refer to the appropriate Ohlone College Catalog (view Ohlone's Catalog Rights Policy).
All students are encouraged to meet with a counselor to review degree requirements and/or have questions answered.
This curriculum is designed to prepare students for entry-level positions in marketing and distribution and to provide in-service training and development opportunities for persons currently working in the field.
www.ohlone.cc.ca.us /org/currguides/2003-2004/marketing.html   (235 words)

  
 Distribution Requirements, Degree Requirements, Student Handbook, Undergraduate Studies and Advising: WCAS   (Site not responding. Last check: 2007-10-11)
Each quarter consider enrolling in one class that expands your horizons and is not a continuation of something you studied in high school.
The remainder of your distribution requirements should be finished by the end of your second year.
If you leave distribution requirements until your last year, you don't maximize your seniority in enrolling in upper level courses.
www.cas.northwestern.edu /advising/advice.html   (157 words)

  
 SIAM: Wanted: An Accurate Map of the Internet
In fact, heavy-tailed degree distributions are common to so many man-made and natural-world networks that they have been called "a signature of human activity." Following several years of what some researchers describe as "irrational exuberance" about heavy tails, however, the recent mood in random networks research leans toward caution and skepticism.
Erdös—Rényi graphs have a bell-shaped degree distribution, with the fraction of nodes of degree d decreasing exponentially in d.
The three recent papers indicate that the degree distribution given in the Faloutsos paper, while a step in the right direction, may not be wholly accurate because of a systematic bias in the measurement method used to gather the data.
www.siam.org /news/news.php?id=111   (2468 words)

  
 Worm Propagation on Graphs with Heavy-tailed Degree Distribution by Stephan Bohacek
There has been extensive work suggesting that for these graphs, the degree of each node is distributed according to a heavy-tailed distribution.
This talk will explore these graphs and show how heavy-tailed degree distribution typically leads to a highly connected core.
Furthermore, the growth function (the number of nodes visited as a function of the number of "hops" from starting node) is significantly different from that of the typical graph with heavy-tailed degree distribution.
www.isr.umd.edu /CSHCN/news-events/colloquium/020920bohacek.html   (379 words)

  
 Courses That Count, Distribution, Degree Requirements Undergraduate Studies and Advising: WCAS   (Site not responding. Last check: 2007-10-11)
To request permission to substitute non-approved courses for distribution requirements, you should download the Petition for Substitution of Distribution Requirements, check the appropriate box, and follow the accompanying instructions.
Any claim that you cannot fulfill the distribution requirements in the usual way must be accompanied by evidence that other required courses will fill all future spaces in your schedule.
To fulfill a distribution requirement with a course on this list completed prior to Spring 2005, students must complete the Petition for Retroactive Counting of a Newly Approved Distribution Course.
www.cas.northwestern.edu /advising/dist.html   (997 words)

  
 Energy Citations Database (ECD) - Energy and Energy-Related Bibliographic Citations
We propose the simplest model of scale-free growing networks and obtain the exact form of its degree distribution for any size of the network (degree is a number of connections of a node).
We demonstrate that a trace of initial conditions {emdash} a hump near cutoff of the degree distribution at k{sub cut}{similar_to}t{sup {beta}} {emdash} may be found for any network size.
Here {beta}=1/({gamma}{minus}1), where {gamma} is the exponent of the degree distribution of the network.
www.osti.gov /energycitations/product.biblio.jsp?osti_id=40203310   (195 words)

  
 Degree Audit Distribution Evaluation
E-mail notification that degree audits were available was effective.
E-mail notification of degree audits being available was timely.
I received the e-mail, but could have used more information about the importance of a degree audit and Advisement Day activities.
www.uwstout.edu /stusrv/daeval.html   (97 words)

  
 Asymptotic Degree Distribution In Random Recursive Trees (ResearchIndex)   (Site not responding. Last check: 2007-10-11)
Abstract: The distributions of vertex degrees in random recursive trees and random plane recursive trees are shown to be asymptotically normal.
Formulas are given for the asymptotic variances and covariances of the number of vertices with given outdegrees.
2 Distribution of nodes of a tree by degree (context) - Na, Rapoport - 1970
citeseer.ist.psu.edu /582049.html   (385 words)

  
 Associate of Arts,   (Site not responding. Last check: 2007-10-11)
Complete two additional courses from two different distribution areas.  Courses may be from List A or B in any subject (including List A sequence subjects).
In addition to the distribution area requirements, students must complete the following courses with a letter grade of “C” or pass or higher (mathematics and writing skills competency courses must be within five years before receiving this degree):
Non-traditional credit, credit transferred from another institution or challenge credit cannot be used to establish the 30 quarter hour residency requirement and the student petition process may not be used to waive the residency requirement.
www.tbcc.cc.or.us /~catalog/transfer/aaot.htm   (2229 words)

  
 A Global 1x1 Degree Distribution of Atmospheric-Soil CO2 Consumption by Continental Weathering and Riverine HCO3 Yield, ...
The data are referenced to a 1 degree by 1 degree global grid.
The work was done at the Centre National de la Recherche Scientifique (CNRS) of Strasborg Cedex, France with the support of the Environment Programme of the European Communities to model the spatial distribution of atmospheric-soil CO2 consumption by chemical weathering of continental rocks.
The result of the study is the database of CO2 consumption and transport of bicarbonate from rivers to the ocean in moles per kilometer squared per year (mol km2/yr).
gcmd.gsfc.nasa.gov /records/GCMD_CDIAC_DB1012.html   (864 words)

  
 AMTDA. TradeSchools   (Site not responding. Last check: 2007-10-11)
Developed through the financial support and participation of industry leaders in distribution and manufacturing, UAB's ID program prepares students to understand the direct application of operations, business and "people skills".
Tailored to meet the needs of high potential managers, the Master of Industrial Distribution eDistance Degree program is web-based and offers industry professionals the next level of education and experience in distribution.
Graduates earn a master of Industrial Distribution degree from Texas AandM University.
www.amtda.org /tradeschools   (1214 words)

  
 analysis of the strong set in the PGP web of trust
The distribution of degree (number of signatures per key) is very stable:
The shape of the distribution curves is very stable; over time, the pattern shifts slowly toward smaller distances.
The crumbling is evenly distributed over the entire range, until there is nothing but graph dust, probably local clusters.
www.cs.uu.nl /people/henkp/henkp/pgp/pathfinder/plot   (964 words)

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