A mechanical counting method and combinatorial applications

Journal of Combinatorial Theory - Tập 4 - Trang 246-258 - 1968
Herbert S. Wilf1
1Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania, USA

Tài liệu tham khảo

Ryser, 1963 Marcus, 1964, Inequalities for General Matrix Functions, Bull. Amer. Math. Soc., 70, 308, 10.1090/S0002-9904-1964-11136-8 Riordan, 1958 Kaplansky, 1943, Solution of the Probleme des Ménages, Bull. Amer. Math. Soc., 49, 784, 10.1090/S0002-9904-1943-08035-4 Touchard, 1934, Sur une probleme de Permutations, C. R. Acad. Sci. Paris., 198, 631 David, 1962 Mood, 1940, The Distribution Theory of Runs, Ann. Math. Statist., 11, 10.1214/aoms/1177731825 MacMahon, 1915, Combinatory Analysis Jurkat, 1966, Matrix Factorizations of Determinants and Permanents, J. Algebra, 3, 1, 10.1016/0021-8693(66)90016-0 Minc, 1963, Upper Bounds for Permanents of (0,1) Matrices, Bull. Amer. Math. Soc., 69, 788, 10.1090/S0002-9904-1963-11031-9 D. E. Barton and F. N. David, The Distribution of Pattern Frequencies in Ring Permutation, J. Roy. Statist. Soc., to be published.