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This edition has bene ted from the many useful comments provided to us by the numerous students who have used the third edition In addition, many people have written or spoken to us about the book, and have offered suggestions and comments Although we cannot mention all these people here, we especially thank the following: Phil Bernhard, Florida Institute of Technology; Eitan M Gurari, The Ohio State University; Irwin Levinstein, Old Dominion University; Ling Liu, Georgia Institute of Technology; Ami Motro, George Mason University; Bhagirath Narahari, Meral Ozsoyoglu, Case Western Reserve University; and Odinaldo Rodriguez, King s College London; who served as reviewers of the book and whose comments helped us greatly in formulating this fourth edition Soumen Chakrabarti, Sharad Mehrotra, Krithi Ramamritham, Mike Reiter, Sunita Sarawagi, N L Sarda, and Dilys Thomas, for extensive and invaluable feedback on several chapters of the book Phil Bohannon, for writing the rst draft of 10 describing XML e Hakan Jakobsson (Oracle), Sriram Padmanabhan (IBM), and C sar GalindoLegaria, Goetz Graefe, Jos A Blakeley, Kalen Delaney, Michael Rys, Michael e Zwilling, Sameet Agarwal, Thomas Casey (all of Microsoft) for writing the appendices describing the Oracle, IBM DB2, and Microsoft SQL Server database systems Yuri Breitbart, for help with the distributed database chapter; Mike Reiter, for help with the security sections; and Jim Melton, for clari cations on SQL:1999 Marilyn Turnamian and Nandprasad Joshi, whose excellent secretarial assistance was essential for timely completion of this fourth edition The publisher was Betsy Jones The senior developmental editor was Kelley Butcher The project manager was Jill Peter The executive marketing manager was John Wannemacher The cover illustrator was Paul Tumbaugh while the cover designer was JoAnne Schopler The freelance copyeditor was George Watson The freelance proofreader was Marie Zartman The supplement producer was Jodi Banowetz The designer was Rick Noel The freelance indexer was Tobiah Waldron This edition is based on the three previous editions, so we thank once again the many people who helped us with the rst three editions, including R B Abhyankar, Don Batory, Haran Boral, Paul Bourgeois, Robert Brazile, Michael Carey, J Edwards, Christos Faloutsos, Homma Farian, Alan Fekete, Shashi Gadia, Jim Gray, Le Gruen-.

CHAPTER 3:

One limitation of the E-R model is that it cannot express relationships among relationships To illustrate the need for such a construct, consider the ternary relationship works-on, which we saw earlier, between a employee, branch, and job (see Figure 213) Now, suppose we want to record managers for tasks performed by an employee at a branch; that is, we want to record managers for (employee, branch, job) combinations Let us assume that there is an entity set manager One alternative for representing this relationship is to create a quaternary relationship manages between employee, branch, job, and manager (A quaternary relationship is required a binary relationship between manager and employee would not permit us to represent which (branch, job) combinations of an employee are managed by which manager) Using the basic E-R modeling constructs, we obtain the E-R diagram of Figure 218 (We have omitted the attributes of the entity sets, for simplicity) It appears that the relationship sets works-on and manages can be combined into one single relationship set Nevertheless, we should not combine them into a single relationship, since some employee, branch, job combinations many not have a manager

The McGraw Hill Companies, 2001

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There is redundant information in the resultant gure, however, since every employee, branch, job combination in manages is also in works-on If the manager were a value rather than an manager entity, we could instead make manager a multivalued attribute of the relationship works-on But doing so makes it more dif cult (logically as well as in execution cost) to nd, for example, employee-branch-job triples for which a manager is responsible Since the manager is a manager entity, this alternative is ruled out in any case The best way to model a situation such as the one just described is to use aggregation Aggregation is an abstraction through which relationships are treated as higherlevel entities Thus, for our example, we regard the relationship set works-on (relating the entity sets employee, branch, and job) as a higher-level entity set called works-on Such an entity set is treated in the same manner as is any other entity set We can then create a binary relationship manages between works-on and manager to represent who manages what tasks Figure 219 shows a notation for aggregation commonly used to represent the above situation