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Assignment on Data Structures and Algorithms (Doc)

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Added on  2019-10-09

Assignment on Data Structures and Algorithms (Doc)

   Added on 2019-10-09

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Data Structuresand Algorithms ObjectivesDesignandimplementaprogrambasedonagreedy algorithm tosolvetheMinimalSpanningTree(MST)problem;Chooseand implementappropriate datastructures forthe algorithm;Analysetheefficiencyofdifferentimplementationsofthealgorithmincomparisonwiththebrute forcealgorithm.TaskYoushouldwriteasingleprogram whichimplementsPrimsalgorithm withdifferentdatastructures,aswellasthebruteforcesearchalgorithm,tofindtheMSTofanundirected,connected,weightedgraph.ProgramYourprogramshouldreadasymmetricmatrixfrom atextfilethatdescribesweightededgesofanundirected, connectedgraphandfind the MSTthatis savedinanoutput fileasasequenceofedgesoftheMST.The programalsodisplaysthe numbers ofverticesand edges inthe graph andthe time spentto finditsMSTforeach data structure usedin Prims and thebruteforce search algorithms, which canbe saved in anotheroutputfileaswellforyourlateranalysis.Yourprogramshouldonly measurethetimespentby thealgorithmwithitsdata structuretofindtheMSTsothatitisaproperdesigntouseonemethod/function toimplementanalgorithm anditsassociateddatastructure.Foranalgorithmthatoperatesonaweightmatrix,ittakestheweightmatrixstoredinatwo-dimensionalarrayasitsparameter;foranalgorithm thatoperates onadjacencylists,ittakesadjacencylists youcreated fromtheweightmatrix.Youmaycreate yourownlistdatastructuresbased on arrays.No STLorJavaCollectionorothercollection frameworkcanbe used.Inthe partofthe algorithmimplementation,youshould notuseany libraryfunctions includingmaximalorminimalfunctions butcreate yourown functionsto operate onarrays.Yourprogramshould bereadable and wellcommented.Inaddition,youneeds tocreateasmallprogram orscripttogeneratetheweightmatrixforagraphofvarious vertices and edges, savedtoa textfile. Whenyoucreate graphs, youneed considerthedensityandconnectivityofgraphs.Youmayuseaprogram/scriptbyotherpeople,with referencetothesource, to generatethesematrices.
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