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Degrees of acyclicity for hypergraphs and relational database schemes

Published: 01 July 1983 Publication History
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    References

    [1]
    AHO, A.V., BEERI, C., AND ULLMAN, I.D. The thvory of joins in relational databases. A CM Trans, Database Syst. 4, 3 (Sept. 1979), 297-314]]
    [2]
    Ano, A.V., AnD KERNIGttAN, B~W.Private commtmication, Nov. 1981.]]
    [3]
    ATZENI, P., AND PARKER, D S., JR.Assumpuons in relational database theory. In Prec. 1st ACM SIGACT-SIGMOD Syrup on Pnnciples of Database Systems (Los Angeles, Calif., Mar. 29-31, 1982), ACM, New York, 1982, pp. 1-9.]]
    [4]
    AUSmLLO, G, D'ATRI, A, AND MOSCARIt,U, M. minimal coverings of acydie database schemata. Prec. ONERA-CERT Toulouse Workshop on Logical Bases for Data Bases, Toulouse, France, 1982.]]
    [5]
    B^c~N, C.W. Data structure diagrams. Data Base 1, 2 (1969), 4-10.]]
    [6]
    BATINI, C., D'Arm, A., AND MOSCAmNI, M Formal tools for top-down and bottom-up generation of acyclic relattonal schemata. Proc 7th Int. Conf. on Graph-Theoretic Concepts in Computer Science, LiaR, Austria, 1981.]]
    [7]
    BEERI, C., FAGIN, R., MAW~, D., MENOFa2ZON, A.O, ULLMAN, J D., ANI) YAt~NAKAmS, M. Properties of acyclie database schemes. In Prec. 13th Ann. A CM Syrup. on Theory of Computing (Milwaukee, Wise., May 11-13, 1981), ACM, New York, 1981, pp. 355-362.]]
    [8]
    BEERI, C., FAGIN, R., MAIER, D, ANt) YANNAKAKIS, M. On the desirability of acyclic database schemes. ~ ACM 30, 3 (July 1983), 479-513]]
    [9]
    BEERI, C, MI/NDELZON, A.O., SAGlV, Y., AND ULLMAN, J.D.Equivalence of relational database schemes SIAM j Comput. 10, 2 (June 1981), 352-370]]
    [10]
    BERG, C. Graphs and Hypergraphs. North-Holland, New York, 1976.]]
    [11]
    BERNSTEIN, P.A., AND GOODMAN, N.The power of natural semijoins. SIAM d. Comput. 10, 4 (Nov. 1981), 751-771.]]
    [12]
    CASANOVA, M.A., FA(3IN, R., ANt) PAPAO~OU, C.Inclusion dependencies and then" interactmn with functmnal dependencies. In Prec. A CM Syrup on Principles of Database Systems (Los Angeles, Calif., Mar. 29-31, 1982), ACM, New York, 1982, pp. 171-176]]
    [13]
    C~ERLIN, D D., ASTRAHAN, M.M., EswxaAr~, K.P., GRIFFITHS, P.P., LORIE, R.A., MERL, L W., REISr,~R, P., Ar, a~ W^D~, B.W. SEQUEL 2: A untried approach to data definition, manipulation, and control. IBM J Res. Dev. 20, 6 (Nov. 1976), 560--575]]
    [14]
    CHASE, K.Join graphs and acychc data base schemes. In Prec. 7th Int. Conf. on Very Large Databases (Cannes, France, Sept 9-11, 1981), ACM, New York, 1981, pp. 95-100.]]
    [15]
    CODD, E.F.Further normalizatmn of the database relauonal model. In Data Base Systems, Courant Computer Science Symposm 6, R Rustm, Ed, Prentice-Hall, 1971, pp. 65-98.]]
    [16]
    CODD, E.F.Recent investigations rote relational database systems. In Prec. IFII' Congress 74, North-Holland, New York, 1974, pp. 1017-1021.]]
    [17]
    CODD, E.F. Extending the database relational model to capture more meaning. A CM Trans. Database Syst. 4, 4 (Dec. 1979), 397-434.]]
    [18]
    DATRI, A., AND MOSCARINI, M.Acyclic hypergraphs" Their recognition and top-down versus bottom-up generation. Tech. Pep. R.29, Conslglio Nazmnale Delle Richerche, IstRuto di Anahsl dei Sistem~ ed Informatlca, 1982.]]
    [19]
    FAGtN, R.The decomposition versus the syntheUc approach to relational database design. In Proc. 3rd Int. Conf. on Very Large Databases (Tokyo, Japan, Oct. 6-8, 1977), ACM, New York, 1977, pp. 441--446 Also in Tutorial: Data Base Management m the 1980s, J A. Larson and H.A. Freeman, Eds., IEEE, NY, 1981, pp. 269-274.]]
    [20]
    FAGIN, R A normal form for relatmrtal databases that 15 based on domains and keys. A CM Trans. Database Syst. 6, 3 (Sept 1981), 387--415.]]
    [21]
    FAGIN, R. Horn clauses and database dependencies, d. A CM 29, 4 (Oct. 1982), 952-985. Extended abstract appeared in Proc 12th Ann. ACM Symp. on Theory of Computing (Los Angeles, Calif., Apr. 28-30, 1980), ACM, New York, 1980, pp. 123-134.]]
    [22]
    FAGrN, R, MENDELZON, A.O., AND ULLMAN, J.D.A simplified umversal relation assumption and its properties. ACM Trans. Database Syst 7, 3 (Sept. I982), 343-360.]]
    [23]
    GOODMAN, N., AND SHMLVELI, O Charactenzauons of tree database schemas. Tech, Pep., Harvard Univ., Cambridge, Mass., 1981.]]
    [24]
    GOODMAN, N., AND SHMUELI, O.Private commumcat~on, Jan 1982.]]
    [25]
    GOODMAN, N., AND SHMUELI, O. Tree queues: A smaple class of relational queries. ACM Trans. Database Syst. 7, 4 (Dec. 1982), 653-677.]]
    [26]
    GRAHAM, M.H. On the umversal relation. Tech Pep, Univ. of Toronto, Toronto, Ont., Can., Sept. 1979]]
    [27]
    GI~AHAM, M H.Facts about CAG-C database schemas Unpublished manuscript, Sept. 1981.]]
    [28]
    Ho~,rEYl~O,lq, P Testing sattsfactiort of functional dependencies. J ACM 29, 3 (July 1982), 668-677.]]
    [29]
    HULL, R Acyehc join dependency and database projections. Teeh. Pep., Univ of Southern Califorma, Los Angeles, Calif, June 198 I.]]
    [30]
    Kxm~, J., KLEITMAN, D., AND LINIAL, W Private commumcation, Aug. 1982.]]
    [31]
    LmN, Y.E On the equivalence of database models. ~ ACM 29, 2 (Apr. 1982), 333-363.]]
    [32]
    MAmg, D., AND ULLMAN, J D.Connectmns m acyclic hypergraphs. In Prec. A CM Syrup. on Principles of Database Systems (Los Angeles, Calif., Mar. 29-31, 1982), ACM, New York, 1982, pp. 34-39.]]
    [33]
    MAIER, D., Ut~MA~, J.D, xND VARDI, M Y. The revenge of the JD. In Proc. 2nd A CM Symp. on Principles of Database Systems (Atlanta, Ga., Mar 21-23, 1983), ACM, New York, 1983, pp. 279-287.]]
    [34]
    RaSSANEr~, J.Theory of relations for databases--A tutorial survey. In Proc. 7th Syrup. on Mathematicai Foundations of Computer Science, Lecture Notes in Computer Science 64, J. Winkowski, Ed., Springer-Vedag, New York, pp. 537-551.]]
    [35]
    S^otv, Y Can we use the universal instance assumptton without using nulls? In Proc. Int. Conf. on Management of Data (Ann Arbor, Mich., Apr. 29-May 1, 1981), ACM, New York, 1981, pp 108-120.]]
    [36]
    TARJANr~o Y~~s, M.Simple linear-time algorithms to test chordality of graphs, test acychcity of hypergraphs, and selectively re,lute acyclic hypergraphs. Tech. Rep., Bell Labs, Murray Hill, NJ., Mar. 1982.]]
    [37]
    ULLMAN, J.D.The U.R. strikes back. In Proc. A CM Syrup. on Principles of Database Systems (Los Angeles, Cahf., Mar. 29--31, 1982), ACM, New York, 1982, pp. 10--22]]
    [38]
    YXr,~AKAgIS, M. Algorithms for acycli~ database schemes. In Proc 7th Int. Conf on Very Large Databases (Cannes, France, Mar. 29-31, 1982), ACM, New York, 1982, pp. 82-94.]]
    [39]
    YANNAKASI, M. Private communication, Sept. 1981.]]
    [40]
    Yu, C.T., AND OzsoYo~ttr, M.Z. Aa algorithm for tree-query memberslnp of a distributed query. In Proc 1979 IEEE COMPSAC, IEEE, New York, 1979, pp. 306-312.]]
    [41]
    Z^tJJOLO, C Analysts and design of relational schemata for database systems. Ph D. Dissertation, Umv. of California, Los Angeles, Calff, July 1976, available as Tech. Rep UCLA ENG-7669.]]

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    Published In

    cover image Journal of the ACM
    Journal of the ACM  Volume 30, Issue 3
    July 1983
    297 pages
    ISSN:0004-5411
    EISSN:1557-735X
    DOI:10.1145/2402
    Issue’s Table of Contents

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 01 July 1983
    Published in JACM Volume 30, Issue 3

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