(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 11.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] NotebookDataLength[ 73574, 1400] NotebookOptionsPosition[ 72814, 1371] NotebookOutlinePosition[ 73173, 1387] CellTagsIndexPosition[ 73130, 1384] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["Exercise :", "Section", CellChangeTimes->{{3.6514784366713877`*^9, 3.651478444592558*^9}, { 3.696247995173765*^9, 3.696247995771352*^9}}], Cell[TextData[{ "Open the ", StyleBox["Mathematica", FontSlant->"Italic"], " notebook Map.nb (MetroStationMap).The variable called ", StyleBox["Metro", FontWeight->"Bold"], " is a list of 5 graphs with the metro networks in Seoul, New York, Paris, \ Mexico City and London. The vertices of the graphs are labeled with the names \ of the stations. The variable ", StyleBox["CityName", FontWeight->"Bold"], " is a list which contains the names of the cities." }], "Text", CellChangeTimes->{{3.651473125445464*^9, 3.651473194254459*^9}, { 3.651476055689809*^9, 3.6514760645593643`*^9}, {3.6514773816897383`*^9, 3.651477556778808*^9}, {3.651478579565559*^9, 3.651478633494419*^9}, { 3.651478714327673*^9, 3.65147874669571*^9}, {3.651478978689926*^9, 3.651478991357911*^9}, 3.651479180970708*^9, {3.651480531613593*^9, 3.651480536102968*^9}, 3.651484158166214*^9, {3.654488222420248*^9, 3.654488241635373*^9}, {3.6962479080196533`*^9, 3.696247933857871*^9}}], Cell[TextData[{ StyleBox["(a).", FontWeight->"Bold"], " Write an interactive program using ", StyleBox["Manipulate[...]", FontWeight->"Bold"], " that has a control button with five values 1,2,3,4,5. When the user \ selects a given value, you display the name of the city and the corresponding \ metro map. Because your program uses some global variables defined outside \ Manipulate (like ", StyleBox["Metro", FontWeight->"Bold"], "), you should also set ", StyleBox["SaveDefinitions\[Rule]True", FontWeight->"Bold"], ". " }], "Text", CellDingbat->"\[FilledSquare]", CellChangeTimes->{{3.6205018504224777`*^9, 3.6205019558072147`*^9}, { 3.620502092122567*^9, 3.620502118642055*^9}, {3.620504107861274*^9, 3.620504118677207*^9}, {3.620504650373715*^9, 3.620504654356748*^9}, { 3.651479172022374*^9, 3.651479205931744*^9}, {3.65148416454828*^9, 3.651484169758423*^9}, {3.696247763255722*^9, 3.6962477638969183`*^9}}], Cell[TextData[{ StyleBox["(b).", FontWeight->"Bold"], " Expand the model from part (a) with a second control which gets populated \ with the vertices of the corresponding graph. When the user selects a vertex \ from the list, you show the corresponding metro station highlighted in green \ (or with increased size) on the metro network. Make the control type a ", StyleBox["PopupMenu", FontWeight->"Bold"], ". When the model is first compiled, the default vertex selected should be \ 5, and the label of the control should be \[OpenCurlyDoubleQuote]Metro Node\ \[CloseCurlyDoubleQuote]." }], "Text", CellDingbat->"\[FilledSquare]", CellChangeTimes->{{3.620454257072255*^9, 3.620454320940864*^9}, { 3.620459117742785*^9, 3.620459123757498*^9}, {3.620459179741609*^9, 3.620459252592271*^9}, {3.620501146329939*^9, 3.620501150841432*^9}, { 3.620502274706925*^9, 3.620502438138816*^9}, {3.620502893541544*^9, 3.6205028981979094`*^9}, {3.6205029373089857`*^9, 3.620502940413299*^9}, { 3.620504087401848*^9, 3.6205040899771357`*^9}, {3.6205046592762547`*^9, 3.620504725990114*^9}, {3.651479573995905*^9, 3.651479739435196*^9}, { 3.65148036745498*^9, 3.651480374362545*^9}, {3.651482762863699*^9, 3.651482764361018*^9}, {3.6514828404851418`*^9, 3.651482879777258*^9}, 3.69667772660527*^9, {3.696677759044932*^9, 3.69667781245333*^9}, { 3.6966780443880177`*^9, 3.696678051851747*^9}, {3.696678116365926*^9, 3.6966782168166647`*^9}, {3.6966786985437107`*^9, 3.696678711958235*^9}, { 3.696678787098136*^9, 3.6966787883605213`*^9}, {3.6966793362979183`*^9, 3.696679337320562*^9}}, TextJustification->1.], Cell[TextData[{ StyleBox["(c).", FontWeight->"Bold"], " Make an interactive model from part (b) with nodes v an u as parameters, \ that highlights the shortest path from v to u, if there exists such a path in \ the graph, otherwise it only highlights the two vertices. Use the function ", StyleBox["FindShortestPath[...].\n", FontWeight->"Bold"], "After you make sure that your model works, please add another control", StyleBox[", {mycolor, ColorSlider} ", FontWeight->"Bold"], "which lets the user select the color that you will use to highlight the \ path (in place of just green)." }], "Text", CellDingbat->"\[FilledSquare]", CellChangeTimes->{{3.620504056472845*^9, 3.620504071805513*^9}, { 3.620504206142955*^9, 3.620504340855125*^9}, {3.620504667580283*^9, 3.620504669860676*^9}, {3.651482755732914*^9, 3.6514828175540037`*^9}, 3.696247840068157*^9, {3.696678790520067*^9, 3.696678816529216*^9}}, TextJustification->1.], Cell[TextData[{ StyleBox["(d).", FontWeight->"Bold"], " Make an interactive model that highlights a vertex v of G2 together with \ its parents and children (i.e. if there is an edge v", StyleBox["\[Rule]", FontWeight->"Bold"], "u, then v is called a parent node and u a child node). The function \ NeighborhoodGraph[...] might be of help." }], "Text", CellDingbat->"\[FilledSquare]", CellChangeTimes->{{3.6205029070584927`*^9, 3.620503009132915*^9}, { 3.620503098625575*^9, 3.620503161638495*^9}, {3.620503648006332*^9, 3.620503662445695*^9}, {3.62050436923568*^9, 3.62050437314615*^9}, { 3.6205044349466553`*^9, 3.6205044354664383`*^9}, {3.620504674724834*^9, 3.620504676620702*^9}, {3.620504754604332*^9, 3.620504768330378*^9}, { 3.620504968099605*^9, 3.620504991866219*^9}, {3.620505033972052*^9, 3.620505037762969*^9}, {3.65148045998134*^9, 3.651480475475801*^9}, { 3.651482627201078*^9, 3.651482630305168*^9}, {3.69667585936942*^9, 3.696675886103839*^9}}, TextJustification->1.], Cell[TextData[{ StyleBox["(e). New! (Combined Statistics): Make an interactive model from \ part a) that outputs certain statistics about the metro maps. 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StyleBox["(Metro Hubs):", FontWeight->"Bold"], " A Metro hub is a metro station which has direct connections to five or \ more other metro stations. Make an interactive model where the metro hubs are \ highlighted with VertexSize->", StyleBox["1.2\n", FontWeight->"Bold"], "Use", StyleBox[" ", FontWeight->"Bold"], "for example", StyleBox[" VertexInDegree[..] ", FontWeight->"Bold"], "to count the number of incoming edges for each node.", StyleBox[" ", FontWeight->"Bold"], "You may also need to use the function", StyleBox[" Sort[..]", FontWeight->"Bold"], " (check also the ", ButtonBox["Mathematica documentation on Sort)", BaseStyle->"Hyperlink", ButtonData->{ URL["https://reference.wolfram.com/language/ref/Sort.html?q=Sort"], None}, ButtonNote->"https://reference.wolfram.com/language/ref/Sort.html?q=Sort"], "." }], "Text", CellDingbat->"\[FilledSquare]", CellChangeTimes->{{3.6205029070584927`*^9, 3.620503009132915*^9}, { 3.620503098625575*^9, 3.620503161638495*^9}, {3.620503648006332*^9, 3.620503662445695*^9}, {3.62050436923568*^9, 3.62050437314615*^9}, { 3.6205044349466553`*^9, 3.6205044354664383`*^9}, {3.620504674724834*^9, 3.620504676620702*^9}, {3.620504754604332*^9, 3.620504768330378*^9}, { 3.620504968099605*^9, 3.620504991866219*^9}, {3.620505033972052*^9, 3.620505037762969*^9}, {3.65148045998134*^9, 3.651480475475801*^9}, { 3.651482627201078*^9, 3.651482630305168*^9}, {3.651893622068612*^9, 3.651893623135064*^9}, {3.651894550208815*^9, 3.651894578478957*^9}, { 3.651894631934848*^9, 3.651894731497615*^9}, {3.65189482964268*^9, 3.6518950221747417`*^9}, {3.651895107560074*^9, 3.651895166295683*^9}, { 3.651895436997015*^9, 3.651895454830983*^9}, {3.6518955775794897`*^9, 3.65189561667546*^9}, {3.651896236616704*^9, 3.6518962770802794`*^9}, { 3.6518963608455753`*^9, 3.651896413421886*^9}, {3.651896479657836*^9, 3.651896479658873*^9}, {3.651896851255093*^9, 3.651896867871266*^9}, { 3.651897111808733*^9, 3.651897261168365*^9}, 3.696680941927864*^9, { 3.696681009357119*^9, 3.696681034069458*^9}}, TextJustification->1.], Cell[TextData[{ StyleBox["(g). Optional (Combined Interactive Model): ", FontWeight->"Bold"], "Parameters: nodes v and u, and an extra parameter \ \[OpenCurlyDoubleQuote]option\[CloseCurlyDoubleQuote] with values {b,c,d}. If \ \[OpenCurlyDoubleQuote]option\[CloseCurlyDoubleQuote] b is selected, then the \ model outputs the same thing as part (b), If \[OpenCurlyDoubleQuote]option\ \[CloseCurlyDoubleQuote] c is selected, then the model outputs the same thing \ as part (c) etc. If you skipped some part, say (d), then you should allow \ only two values for \[OpenCurlyDoubleQuote]option\[CloseCurlyDoubleQuote], \ {b,c}." }], "Text", CellDingbat->"\[FilledSquare]", CellChangeTimes->{{3.620504822508637*^9, 3.620504936927032*^9}, { 3.620505074629816*^9, 3.6205052702011347`*^9}, {3.6514831088995037`*^9, 3.651483145658943*^9}, {3.6514838088733664`*^9, 3.651483814500269*^9}, 3.696244701940352*^9, {3.696679811836319*^9, 3.696679812684271*^9}}] }, Open ]] }, WindowSize->{808, 606}, WindowMargins->{{20, Automatic}, {Automatic, 44}}, FrontEndVersion->"11.0 for Mac OS X x86 (32-bit, 64-bit Kernel) (September \ 21, 2016)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[580, 22, 146, 2, 64, "Section"], Cell[729, 26, 989, 20, 68, "Text"], Cell[1721, 48, 943, 22, 87, "Text"], Cell[2667, 72, 1650, 28, 106, "Text"], Cell[4320, 102, 952, 19, 106, "Text"], Cell[5275, 123, 1014, 20, 68, "Text"], Cell[6292, 145, 1672, 31, 125, "Text"], Cell[CellGroupData[{ Cell[7989, 180, 975, 24, 112, "Input"], Cell[8967, 206, 60594, 1088, 465, 24282, 491, "CachedBoxData", "BoxData", \ "Output"] }, Open ]], Cell[69576, 1297, 2257, 53, 87, "Text"], Cell[71836, 1352, 962, 16, 87, "Text"] }, Open ]] } ] *)