Combinatorial Mathematics and Its Applications
Cód:
491_9780807878200
This volume includes thirty-three papers by eminent mathematicians, statisticians, and electrical engineers. The papers are organized into five main divisions: general problems of combinatorial mathematics; combinatorial problems of experimental designs; error-correcting codes and other problems of information theory; finite geometrics; and graphs. Many of the papers are followed by prepared discussions.ContentsGeneral Editors PrefacePrefaceConference ParticipantsPART I. GENERAL PROBLEMS OF COMBINATORIAL MATHEMATICS1. PROBABILISTIC METHODS IN COMBINATORIAL MATHEMATICS, by Alfred Renyi 2. COMBINATORIAL METHODS IN THE DISTRIBUTION OF kth POWER RESIDUES, by Alfred Brauer 3. ON CANONICAL BASES FOR SUBGROUPS OF AN ABELIAN GROUP, by Henry B. Mann4. PERMANENTS AND SYSTEMS OF DISTINCT REPRESENTATIVES, by H. J. Ryser5. ABEL IDENTITIES AND INVERSE RELATIONS, by John Riordan 6. ON THE AUTOMORPHISM GROUPS OF PALEY-HADAMARD MATRICES, by E. F. Assmus, Jr. and H. F. Mattson, Jr. 7. THE ELEMENTARY VECTORS OF A SUBSPACE OF RN, by R. T. Rockafellar 8. A COMBINATORIAL PROBLEM IN THE THEORY OF FREE MONO IDS, by A. Lentin and M. P. Schutzenberger 9. GENERALIZED MEASURE OF DISPERSION AND ANALYSIS OF DISTRIBUTIONAL PATTERN, by Tosio Kitagawa PART II. COMBINATORIAL PROBLEMS OF EXPERIMENTAL DESIGNS10. ON SYMMETRIC BLOCK DESIGNS WITH λ=2, by Marshall Hall, Jr.11. ON SOME COMPOSITION AND EXTENSION METHODS IN THE CONSTRUCTION OF BLOCK DESIGNS FROM ASSOCIATION MATRICES, by I. M. Chakravarti and W. C. Blackwelder12. ON THE NONEXISTENCE OF CERTAIN BLOCK DESIGNS, by Junjiro Ogawa13. CALCULUS OF BLOCKS APPLIED TO PBIB DESIGNS, by Motosaburo Masuyama 14. ON THE APPLICATION OF HALF-NORMS TO CYCLIC DIFFERENCE SETS, by Koichi Yamamoto 15. ON EMBEDDING OF ORTHOGONAL ARRAYS OF STRENGTH TWO, by S. S. Shrikhande and Bhagwandas PART III. ERROR-CORRECTING CODES AND OTHER PROBLEMS OF INFORMATION THEORY16. FILE ORGANIZATION OF RECORDS WITH MULTIPLE*VALUED ATTRIBUTES FOR MULTI-ATTRIBUTE QUERIES, by R. C
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