[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-349264-105":3,"detail-sidebar-cat-1-en-105":81,"doc-detail-349264-en":127},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","cop-3530-discrete-data-structures-and-algorithms-homework-7","COP 3530 Discrete Data Structures and Algorithms - Homework 7","","Homework 7 for COP 3530 focuses on discrete data structures and algorithms, specifically minimum spanning trees (MST). The assignment asks students to write pseudocode for Prim’s and Kruskal’s algorithms, including per-step counts of I/O, memory operations, comparisons, increments, and other costs. It further requires building work budgets and Big-Oh complexity for adjacency matrix, edge list, and adjacency list representations, then tracing edge construction orders for given weighted directed graphs and analyzing complexity for multiple cases.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/template/","Template",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/template/presentations/","Presentations",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/template/cop-3530-discrete-data-structures-and-algorithms-homework-7/349264/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/cop-3530-discrete-data-structures-and-algorithms-homework-7/349264.png","ImageObject",442,249,{"name":42,"@type":43},"Aldword","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",19,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What do Questions 1 and 2 require for Prim’s and Kruskal’s algorithms?","Question",{"text":63,"@type":64},"They require Prim’s or Kruskal’s pseudocode (not Java) with per-step operation counts such as external I/O, memory I/O, increments, comparisons, and other operations, plus work budgets and Big-Oh complexity estimates for different graph representations.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Which algorithm should be used for MST construction instead of shortest paths?",{"text":68,"@type":64},"Prim’s algorithm for MST should be used; the document notes that using Dijkstra’s was a typo and apologizes for the confusion.",{"name":70,"@type":61,"acceptedAnswer":71},"How do Questions 3 and 4 differ regarding the MST trace?",{"text":72,"@type":64},"Question 3 asks for the order of edges Prim’s algorithm constructs the MST starting at vertex a, while Question 4 repeats the trace starting at vertex b.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},349264,1791744242,{"code":4,"msg":82,"data":83},"success",[84,88,93,98,103,108,113,118,123],{"id":85,"doc_module":22,"doc_module_name":25,"category_name":29,"show_sort_weight":86,"slug":87},11,90,"presentations",{"id":89,"doc_module":22,"doc_module_name":25,"category_name":90,"show_sort_weight":91,"slug":92},12,"Resumes",80,"resumes",{"id":94,"doc_module":22,"doc_module_name":25,"category_name":95,"show_sort_weight":96,"slug":97},14,"Invoices",70,"invoices",{"id":99,"doc_module":22,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},15,"Posters",60,"posters",{"id":104,"doc_module":22,"doc_module_name":25,"category_name":105,"show_sort_weight":106,"slug":107},16,"Social Media",50,"social-media",{"id":109,"doc_module":22,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},17,"Forms",40,"forms",{"id":114,"doc_module":22,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},18,"Letters",30,"letters",{"id":119,"doc_module":22,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},21,"Paper Templates",5,"papers-templates",{"id":124,"doc_module":22,"doc_module_name":25,"category_name":125,"show_sort_weight":4,"slug":126},158,"General","general-158",{"code":4,"msg":82,"data":128},{"doc_id":79,"user_id":129,"nickname":42,"user_avatar":130,"doc_module":22,"category_id":85,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":136,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":12,"update_tm":140,"read_time":26},2336478940917,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","COP 3530, Discrete Data Structures and Algorithms, Summer 1999, Homework 7  \nENTER HERE => [https://bit.ly/abcdessay108](https://bit.ly/abcdessay108)  \nClass Notes: Data Structures and Algorithms  \nSummer-C Semester 1999-M WRF 2nd Period CSE/E119, Section 7344 Homework \\#7--Due Wed 21 July 1999 : 09.30am (Revised Date)  \nIn class, we discussed minimum spanning trees (MSTs) and the algorithms that derive MSTs from a graph specification. Using your class notes as a guide, answer the following questions.  \nNote: The graph specifications from Homework \\#5 have been used with slight modifications, to make the data structures more familiar for you.  \nComments in response to student questions are in red typeface.  \n* Question 1. Write pseudocode (not Java code) for Prim's algorithm that we discussed in  \nclass. Beside each step, write the number of external I/O, memory I/O, incrementation, comparison, and other types of operations employed.  \nNote in the above description that Prim's algorithm (for MST) is to be used, not Dijkstra's (for Shortest Path) . The use of Dijkstra'[s was a typo...my](s was a typo...my) apologies...  \nThen, construct a work budget for each type of operation, together with a Big-Oh estimate of complexity for each of the following graph representations: (a) adjacency matrix,(b) edge list, and (c) adjacency list.  \n* Question 2. Repeat Question 1 for Kruskal's algorithm that we discussed in class.  \n* Question 3. Given the following graph specification (assume directed edges only) for G =(V,E), write out the order of edges with which Prim's algorithm constructs the MST, starting at vertex a. (The third value (integer) in each edge triple is its weight. ) (1 point each):  \n(a) V = {a,b,c,d,e,f}, E = {(a,b,1),(b,c,3),(a,c,2),(c,d,4),(c,e,5),(e,f,2),(b,f,3)} .  \n(b) V = {a,b,c,d,e,f}, E = {(d,a,2),(b,c,4),(a,b,2),(e,b,3),(c,e,1),(b,d,1)} .  \n(c) Analyze the complexity of each case ((a) and (b), above) by constructing a work budget similar to Question 1, but for the adjacency list representation only, followed by a Big-Oh estimate. (2 points total)  \n* Question 4. Repeat Question 3 with b as the start vertex.  \n* Question 5. Repeat Question 3 for Kruskal's instead of Prim's, without regard to the start vertex.  \n* Question 6. Repeat Question 3 for Kruskal's instead of Prim's, using the following graph specifications, without regard to the start vertex:  \nOther Arcticles:  \n Literary Analysis: Dante'S Inferno   \n Ethics Of Capital Punishment   \n Resume Help Online Com  \n A Study On Colleges Online Education   \n Theory Of Knowledge Language Essay  \n All About Critical Thinking  \n Custom Thesis Writing  \n Sample Resume Format For Customer Service Executive  \n Topics For A Thesis Statement  \n Gre Essay Question Examples  \n Sample Business Plan For Event Planning Business  \n Jewellery Design Investigation Identify The Problem Marketing   \n Ice Cream Business Plan 2011","cbCaioihjvMe4hgz","https://ap.wps.com/l/cbCaioihjvMe4hgz","pdf",79841,"English","# Prim's algorithm\n## Question 1: pseudocode and operation/work budgets\n## Complexity by graph representation (adjacency matrix, edge list, adjacency list)\n# Kruskal's algorithm\n## Question 2: pseudocode and operation/work budgets\n## Question 5-6: MST edge order and operation analysis\n# MST trace problems on given graphs\n## Question 3: Prim starting at vertex a\n## Question 4: Prim starting at vertex b\n## Question 6: Kruskal on provided graph specifications","[{\"question\":\"What do Questions 1 and 2 require for Prim’s and Kruskal’s algorithms?\",\"answer\":\"They require Prim’s or Kruskal’s pseudocode (not Java) with per-step operation counts such as external I/O, memory I/O, increments, comparisons, and other operations, plus work budgets and Big-Oh complexity estimates for different graph representations.\"},{\"question\":\"Which algorithm should be used for MST construction instead of shortest paths?\",\"answer\":\"Prim’s algorithm for MST should be used; the document notes that using Dijkstra’s was a typo and apologizes for the confusion.\"},{\"question\":\"How do Questions 3 and 4 differ regarding the MST trace?\",\"answer\":\"Question 3 asks for the order of edges Prim’s algorithm constructs the MST starting at vertex a, while Question 4 repeats the trace starting at vertex b.\"}]","COP 3530 Discrete Data Structures and Algorithms - Homework 7 | PDF",1790082504]