Generalizations of Khovanskiĭ's theorems on the growth of sumsets in Abelian semigroups
Tài liệu tham khảo
Albert
Balogh, 2006, Hereditary properties of ordered graphs, 179
Beck, 1999, A closer look at lattice points in rational simplices, Electron. J. Combin., 6, 10.37236/1469
Beck, 2002, Multidimensional Ehrhart reciprocity, J. Combin. Theory Ser. A, 97, 187, 10.1006/jcta.2001.3220
Beck, 2007, Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra
W. Bruns, J. Gubeladze, Polytopes, rings and K-theory, preprint, www.mathematik.uni-osnabrueck.de/staff/phpages/brunsw/kripo.pdf
Ehrhart, 1962, Sur les polyèdres rationnels homothétiques à n dimensions, C. R. Acad. Sci. Paris, 254, 616
Huczynska, 2006, Grid classes and the Fibonacci dichotomy for restricted permutations, Electron. J. Combin., 13, 10.37236/1080
V. Jelínek, M. Klazar, Polynomial and quasipolynomial counting, in preparation
Kaiser, 2003, On growth rates of closed permutation classes, Electron. J. Combin., 9, 10.37236/1682
Khovanskiĭ, 1992, Newton polyhedron, Hilbert polynomial, and sums of finite sets, Funct. Anal. Appl., 26, 276, 10.1007/BF01075048
Khovanskiĭ, 1995, Sums of finite sets, orbits of commutative semigroups, and Hilbert functions, Funct. Anal. Appl., 29, 102, 10.1007/BF01080008
Kruskal, 1972, The theory of well-quasi-ordering: A frequently discovered concept, J. Combin. Theory Ser. A, 13, 297, 10.1016/0097-3165(72)90063-5
Lisoněk, 2007, Combinatorial families enumerated by quasi-polynomials, J. Combin. Theory Ser. A, 114, 619, 10.1016/j.jcta.2006.06.013
Macdonald, 1963, The volume of a lattice polyhedron, Proc. Cambridge Philos. Soc., 59, 719, 10.1017/S0305004100003716
Macdonald, 1971, Polynomials associated with finite cell complexes, J. London Math. Soc. (2), 4, 181, 10.1112/jlms/s2-4.1.181
Matoušek, 2002
Nathanson, 2000, Growth of sumsets in abelian semigroups, Semigroup Forum, 61, 149, 10.1007/PL00006010
Nathanson, 2002, Polynomial growth of sumsets in abelian semigroups, J. Théor. Nombres Bordeaux, 14, 553, 10.5802/jtnb.374
Pouzet
Stanley, 1975, Problem E2546, Amer. Math. Monthly, 82, 756, 10.2307/2318742
Stanley, 2002