(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 3960139, 71244] NotebookOptionsPosition[ 3954635, 71067] NotebookOutlinePosition[ 3955150, 71087] CellTagsIndexPosition[ 3955107, 71084] WindowFrame->Normal ContainsDynamic->False*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["An Extensible Graph Toolkit for Mathematica", "Title", CellChangeTimes->{{3.406994321688723*^9, 3.406994356423834*^9}}], Cell[CellGroupData[{ Cell["Eytan Bakshy", "Author", CellChangeTimes->{{3.406994389624703*^9, 3.4069943913452597`*^9}, { 3.407101235499833*^9, 3.4071012355054207`*^9}}], Cell["\[LineSeparator]SI 708", "Institution", CellChangeTimes->{{3.407101235858983*^9, 3.407101241121469*^9}}] }, Open ]], Cell[CellGroupData[{ Cell["Introduction & Motivation", "Section", CellChangeTimes->{{3.4069944033888073`*^9, 3.4069944413628607`*^9}, { 3.407088962871181*^9, 3.4070889643962507`*^9}}], Cell[TextData[{ "The Extensible Graph Toolkit for ", StyleBox["Mathematica", FontSlant->"Italic"], ", or EGraph, is a framework for studying networks. The toolkit is a \ lightweight, extensible object framework that poses significant advantages \ over the two standard methods of representing graphs in ", StyleBox["Mathematica", FontSlant->"Italic"], ": rule lists and ", StyleBox["Combinatorica", FontSlant->"Italic"], " graphs. This tutorial demonstrates the usage of the kit in the analysis \ and visualization of static and evolving networks." }], "Text", CellChangeTimes->{{3.406994874238865*^9, 3.40699487872118*^9}, { 3.407074189178055*^9, 3.407074258034268*^9}, {3.40707431863701*^9, 3.407074456358287*^9}, {3.407101264260819*^9, 3.407101293737199*^9}}], Cell[CellGroupData[{ Cell["Graph Programming with Rule Lists", "Subsection", CellChangeTimes->{{3.407074558787747*^9, 3.407074579187812*^9}, { 3.407081856819387*^9, 3.4070818640157146`*^9}}], Cell[TextData[{ "Rule-lists can be used with some of ", StyleBox["Mathematica", FontSlant->"Italic"], "'s more modern graph utilities such as adaptive algorithms for computing \ all-pairs shortest paths, pseudo-diameters, PageRank, and finding strong and \ weakly connected components. The objects in rule lists can easily be plotted \ using GraphPlot[]. 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StyleBox["Combinatorica", FontSlant->"Italic"], " Graph objects and the EGraph Structure" }], "Subsection", CellChangeTimes->{{3.407074558787747*^9, 3.407074579187812*^9}, { 3.407075005531225*^9, 3.407075029648212*^9}, 3.407081889652402*^9, { 3.407083846008196*^9, 3.40708387459072*^9}, {3.4070889704471617`*^9, 3.407088970686983*^9}}], Cell[TextData[{ StyleBox["Combinatorica", FontSlant->"Italic"], " is a package that covers many areas of discrete mathematics, including \ graph theory. 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0.002903865476271671}}]}, "\"Macedonia\""], Annotation[#, "Macedonia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{62., 0.0029046063808428548`}}]}, "\"Tunisia\""], Annotation[#, "Tunisia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{63., 0.0029156379748871085`}}]}, "\"Moldova\""], Annotation[#, "Moldova", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{64., 0.002921178363385899}}]}, "\"Tanzania\""], Annotation[#, "Tanzania", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{65., 0.0029852193867004567`}}]}, "\"Honduras\""], Annotation[#, "Honduras", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{66., 0.0030322940358751996`}}]}, "\"Guinea\""], Annotation[#, "Guinea", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{67., 0.0030417375324888196`}}]}, "\"Ireland\""], Annotation[#, "Ireland", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{68., 0.003057725656809622}}]}, "\"Albania\""], Annotation[#, "Albania", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{69., 0.003059582899167082}}]}, "\"Estonia\""], Annotation[#, "Estonia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{70., 0.003062069335088194}}]}, "\"NewZealand\""], Annotation[#, "NewZealand", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{71., 0.003082910285662409}}]}, "\"Ecuador\""], Annotation[#, "Ecuador", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{72., 0.003088952921503176}}]}, "\"SaintVincentGrenadines\""], Annotation[#, "SaintVincentGrenadines", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{73., 0.0030915166321724527`}}]}, "\"Belarus\""], Annotation[#, "Belarus", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{74., 0.0030936546275059486`}}]}, "\"Bahrain\""], Annotation[#, "Bahrain", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{75., 0.003102008988206353}}]}, "\"Brunei\""], Annotation[#, "Brunei", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{76., 0.0031948249779629513`}}]}, "\"Angola\""], Annotation[#, "Angola", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{77., 0.0031977433855767718`}}]}, "\"MarshallIslands\""], Annotation[#, "MarshallIslands", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{78., 0.0032042438952126304`}}]}, "\"Seychelles\""], Annotation[#, "Seychelles", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{79., 0.003222369415372793}}]}, "\"Maldives\""], Annotation[#, "Maldives", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{80., 0.003246547094482766}}]}, "\"SaintKittsNevis\""], Annotation[#, "SaintKittsNevis", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{81., 0.0032690542638392833`}}]}, "\"Tajikistan\""], Annotation[#, "Tajikistan", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{82., 0.0032946261657379847`}}]}, "\"Djibouti\""], Annotation[#, "Djibouti", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{83., 0.0033172354668390487`}}]}, "\"CostaRica\""], Annotation[#, "CostaRica", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{84., 0.0033242604305274404`}}]}, "\"Madagascar\""], Annotation[#, "Madagascar", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{85., 0.00334086428303058}}]}, "\"Lesotho\""], Annotation[#, "Lesotho", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{86., 0.0033411294741569606`}}]}, "\"SierraLeone\""], Annotation[#, "SierraLeone", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{87., 0.0033422505742824477`}}]}, "\"Uzbekistan\""], Annotation[#, "Uzbekistan", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{88., 0.003353174917857003}}]}, "\"Malta\""], Annotation[#, "Malta", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{89., 0.0033619151529971723`}}]}, "\"Somalia\""], Annotation[#, "Somalia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{90., 0.0033972012515844936`}}]}, "\"Kuwait\""], Annotation[#, "Kuwait", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{91., 0.0034058165959617625`}}]}, "\"Dominica\""], Annotation[#, "Dominica", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{92., 0.003410644432342331}}]}, "\"Togo\""], Annotation[#, "Togo", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{93., 0.0034303831746459235`}}]}, "\"Gambia\""], Annotation[#, "Gambia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{94., 0.0034525314013849335`}}]}, "\"Ethiopia\""], Annotation[#, "Ethiopia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{95., 0.00346088159325197}}]}, "\"Bangladesh\""], Annotation[#, "Bangladesh", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{96., 0.0034788912429620285`}}]}, "\"Cyprus\""], Annotation[#, "Cyprus", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{97., 0.0034887409868461384`}}]}, "\"Jamaica\""], Annotation[#, "Jamaica", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{98., 0.0035162901446042197`}}]}, "\"Romania\""], Annotation[#, "Romania", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{99., 0.003530717918479784}}]}, "\"Bolivia\""], Annotation[#, "Bolivia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{100., 0.0035391604967919717`}}]}, "\"Uganda\""], Annotation[#, "Uganda", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{101., 0.003550511480330227}}]}, "\"Colombia\""], Annotation[#, "Colombia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{102., 0.0035539676214298957`}}]}, "\"Botswana\""], Annotation[#, "Botswana", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{103., 0.0035590660952955653`}}]}, "\"Argentina\""], Annotation[#, "Argentina", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{104., 0.0035859761167450982`}}]}, "\"SriLanka\""], Annotation[#, "SriLanka", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{105., 0.0035869112509737617`}}]}, "\"Bahamas\""], Annotation[#, "Bahamas", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{106., 0.0036280879649570525`}}]}, "\"Algeria\""], Annotation[#, "Algeria", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{107., 0.003642739223482767}}]}, "\"Bulgaria\""], Annotation[#, "Bulgaria", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{108., 0.003663028726750411}}]}, "\"Georgia\""], Annotation[#, "Georgia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{109., 0.0036740441197074944`}}]}, "\"EquatorialGuinea\""], Annotation[#, "EquatorialGuinea", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{110., 0.0036818060451363505`}}]}, "\"Slovenia\""], Annotation[#, "Slovenia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{111., 0.003705706929728959}}]}, "\"Burundi\""], Annotation[#, "Burundi", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{112., 0.0037125275531039795`}}]}, "\"Chad\""], Annotation[#, "Chad", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{113., 0.003734725234961241}}]}, "\"AntiguaBarbuda\""], Annotation[#, "AntiguaBarbuda", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{114., 0.003739928274269949}}]}, "\"Guyana\""], Annotation[#, "Guyana", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{115., 0.003757947871114553}}]}, "\"Vietnam\""], Annotation[#, "Vietnam", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{116., 0.003778949595398559}}]}, "\"RepublicCongo\""], Annotation[#, "RepublicCongo", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{117., 0.003779525664826305}}]}, "\"Syria\""], Annotation[#, "Syria", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{118., 0.003824295531361809}}]}, "\"Yemen\""], Annotation[#, "Yemen", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{119., 0.003836372323016815}}]}, "\"Mauritania\""], Annotation[#, "Mauritania", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{120., 0.003844198702822464}}]}, "\"Mauritius\""], Annotation[#, "Mauritius", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{121., 0.003864217480539011}}]}, "\"SaintLucia\""], Annotation[#, "SaintLucia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{122., 0.003869854593263212}}]}, "\"Cameroon\""], Annotation[#, "Cameroon", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{123., 0.0038740781019060396`}}]}, "\"Kenya\""], Annotation[#, "Kenya", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{124., 0.003925553496736399}}]}, "\"Egypt\""], Annotation[#, "Egypt", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{125., 0.003948371346920946}}]}, "\"Oman\""], Annotation[#, "Oman", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{126., 0.003983593335260488}}]}, "\"Lebanon\""], Annotation[#, "Lebanon", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{127., 0.004009892426922326}}]}, "\"Slovakia\""], Annotation[#, "Slovakia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{128., 0.004058235124244995}}]}, "\"Comoros\""], Annotation[#, "Comoros", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{129., 0.004074665407228384}}]}, "\"Azerbaijan\""], Annotation[#, "Azerbaijan", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{130., 0.004075863717134281}}]}, "\"Senegal\""], Annotation[#, "Senegal", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{131., 0.0040806354082375575`}}]}, "\"CzechRepublic\""], Annotation[#, "CzechRepublic", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{132., 0.004082861366676416}}]}, "\"Ukraine\""], Annotation[#, "Ukraine", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{133., 0.004112844640225483}}]}, "\"Afghanistan\""], Annotation[#, "Afghanistan", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{134., 0.004165486003216008}}]}, "\"Iran\""], Annotation[#, "Iran", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{135., 0.00420888099595224}}]}, "\"Turkmenistan\""], Annotation[#, "Turkmenistan", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{136., 0.004232287935259023}}]}, "\"Ghana\""], Annotation[#, "Ghana", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{137., 0.004234314299317471}}]}, "\"DemocraticRepublicCongo\""], Annotation[#, "DemocraticRepublicCongo", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{138., 0.004239566371122363}}]}, "\"CapeVerde\""], Annotation[#, "CapeVerde", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{139., 0.00431713724093095}}]}, "\"Qatar\""], Annotation[#, "Qatar", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{140., 0.004364632644492288}}]}, "\"Nicaragua\""], Annotation[#, "Nicaragua", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{141., 0.004404178815622728}}]}, "\"Latvia\""], Annotation[#, "Latvia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{142., 0.004416526691823276}}]}, "\"Croatia\""], Annotation[#, "Croatia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{143., 0.004469101607010262}}]}, "\"Morocco\""], Annotation[#, "Morocco", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{144., 0.004476524913849637}}]}, "\"Belize\""], Annotation[#, "Belize", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{145., 0.004484120838897915}}]}, "\"ElSalvador\""], Annotation[#, "ElSalvador", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{146., 0.004508394232637264}}]}, "\"Peru\""], Annotation[#, "Peru", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{147., 0.004517512653287532}}]}, "\"Libya\""], Annotation[#, "Libya", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{148., 0.0046256164777185105`}}]}, "\"Benin\""], Annotation[#, "Benin", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{149., 0.004635920234754693}}]}, "\"Norway\""], Annotation[#, "Norway", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{150., 0.004642167386295358}}]}, "\"Israel\""], Annotation[#, "Israel", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{151., 0.004698918995068585}}]}, "\"BosniaHerzegovina\""], Annotation[#, "BosniaHerzegovina", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{152., 0.004747626561052381}}]}, "\"Iceland\""], Annotation[#, "Iceland", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{153., 0.004846239439754928}}]}, "\"Philippines\""], Annotation[#, "Philippines", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{154., 0.005025722934674629}}]}, "\"Cambodia\""], Annotation[#, "Cambodia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{155., 0.005028006659405742}}]}, "\"Armenia\""], Annotation[#, "Armenia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{156., 0.005106598881738555}}]}, "\"Pakistan\""], Annotation[#, "Pakistan", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{157., 0.005224630845442329}}]}, "\"Indonesia\""], Annotation[#, "Indonesia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{158., 0.005230044422943159}}]}, "\"TrinidadTobago\""], Annotation[#, "TrinidadTobago", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{159., 0.00524774390781173}}]}, "\"Chile\""], Annotation[#, "Chile", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{160., 0.005261605447122336}}]}, "\"Guatemala\""], Annotation[#, "Guatemala", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{161., 0.005296498216074808}}]}, "\"Niger\""], Annotation[#, "Niger", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{162., 0.0054149456865806725`}}]}, "\"Hungary\""], Annotation[#, "Hungary", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{163., 0.005435658320816159}}]}, "\"Cuba\""], Annotation[#, "Cuba", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{164., 0.005565803151493267}}]}, "\"Finland\""], Annotation[#, "Finland", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{165., 0.005648354784011171}}]}, "\"Mexico\""], Annotation[#, "Mexico", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{166., 0.0057412963940279595`}}]}, "\"Sweden\""], Annotation[#, "Sweden", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{167., 0.0057903032428980985`}}]}, "\"Portugal\""], Annotation[#, "Portugal", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{168., 0.005801316686082803}}]}, "\"Denmark\""], Annotation[#, "Denmark", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{169., 0.005824316606720422}}]}, "\"Brazil\""], Annotation[#, "Brazil", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{170., 0.005863580330839858}}]}, "\"Australia\""], Annotation[#, "Australia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{171., 0.005918920502717573}}]}, "\"Austria\""], Annotation[#, "Austria", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{172., 0.0059580007622638195`}}]}, "\"Malaysia\""], Annotation[#, "Malaysia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{173., 0.0062186414422826675`}}]}, "\"Taiwan\""], Annotation[#, "Taiwan", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{174., 0.0064293632761537696`}}]}, "\"SouthAfrica\""], Annotation[#, "SouthAfrica", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{175., 0.006626900303056942}}]}, "\"Greece\""], Annotation[#, "Greece", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{176., 0.006658240480336574}}]}, "\"SaudiArabia\""], Annotation[#, "SaudiArabia", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{177., 0.006717032192873909}}]}, "\"Nigeria\""], Annotation[#, "Nigeria", "Tooltip"]& ], TagBox[ TooltipBox[ {Opacity[0.], PointBox[{{178., 0.00674850632466843}}]}, 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In this example, \ we use the modified preferential attachment model from class.\ \>", "Text", CellChangeTimes->{{3.407095309699851*^9, 3.4070954288188963`*^9}}], Cell[BoxData[{ RowBox[{"<<", "NetLogo`"}], "\n", RowBox[{ RowBox[{"NLStart", "[", "\"\\"", "]"}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{ "NLLoadModel", "[", "\"\\"", "]"}], ";"}]}], "Code", CellChangeTimes->{{3.407095445131174*^9, 3.407095445376546*^9}}], Cell["\<\ To perform the experiment, we grow the graph to 5000 nodes and sample its \ structure every 100 model ticks. Because the behavior of the model might \ differ from run to run, we perform 20 realizations of the model. 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