Chapter 15, Problem 16RQ

What would be the runtime (big-O asymptotic notation) of  Dijkstra’s algorithm if it is implemented based on an unsorted minimum priority queue in terms of vertices (v) and edges (e)? Please show all steps including the runtime of each step of the algorithm.

a) An extendable hashing index is given below. Present the state of the index after adding the keys 21, 25, and 29. Directory Buckets 0*8* 12* 20* 00 9* 13*33* 01 10 6*26* 42* 11 7* 11* 15*23* b) Explain the concepts of global depth and local depth of buckets. Which buckets in the index above (after inserting 21, 25 and 29) have a global depth equal to the local depth? c) Describe the bulk loading algorithm for B+ trees. What are the differences to using a simple B+ tree add operation?

b) Below is an example of a B+ tree. Add an element with key 19 and then delete an element with key 1. Present the final result. 1* 3* . 10 18 24 27 37 10*15* - 18 20 22 24*26* 24* 26* - 27* 30*32* 37*40*

Books (bid, author, title, publisher, year, notes); Members (mid, name, surname, street, city, country, phone, notes); Borrow (rid, bid, mid, date, notes);

Customer (cid, name, surname, city, address, phone) Account (aid, cid, amount, currency, created) Deposit (did, aid, cid, amount, date) Withdraw(wid, aid, cid, amount, date)

Data environment The SPJ company manages the orders of the parts from the suppliers for the projects that run at other companies. A project is described with the project identifier, name, company where the project takes part, budget, start date, and the duration of the project. A part is presented with the part identifier, name, and price. A supplier is described by the supplier identifier, name, address, city and phone number. For each order of a product from a given supplier for a given project, we store the number of parts ordered, the price of the order, the date, and the comment. The information system SPJ includes the following tables. Parts pid, name, price ); Projects( jid, name, company, budget, start, duration ); Suppliers sid, name, address, city, phone ); Orders oid, pid, jid, sid, quantity, price, date, comment );

Data environment The SPJ company manages the parts orders from the suppliers for the projects that run at other companies. A project is described with the project identifier, name, company where the project takes part, budget, start date, and the duration of the project. A part is presented with the part identifier, name, and price. A supplier is described by the supplier identifier, name, address, city and phone number. For each order of a product from a given supplier for a given project, we store the number of parts ordered, the price of the order, the date, and the comment. The information system SPJ includes the following tables. Parts pid, name, price ); Projects( jid, name, company, budget, start, duration ); Suppliers sid, name, address, city, phone ); Orders oid, pid, jid, sid, quantity, price, date, comment );

An example of a linear hash index is given below. Every time a new overflow page is added, the bucket pointed by Next is split and Next is incremented by one. Show the index state after adding the keys 10, 13, and 15. h₁ ho Level=0, N=4 000 00 0*8* 001 01 9* 25* 33* Next 010 10 6* 26* 42* 46* 011 11 7* 11*23* 100 00 4* 12*20* 101 01 5* 29* 37*21*

Customer (cid, name, surname, city, address, phone); Account (aid, cid, amount, created, comment); Transfer (tid, from_aid, to_aid, cid, amount, date, descr);