Titlebook: Combinatorial Mathematics IV; Proceedings of the F Louis R. A. Casse,Walter D. Wallis Conference proceedings 1976 Springer-Verlag Berlin He

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https://doi.org/10.1007/978-1-4939-2089-1sitive integers such that the first term is at most d. and the difference between consecutive terms lies between d. and d.. We establish a recurrence relation to enumerate the sequences with given sum and last term and derive methods for constructing all such sequences with a given sum.

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Comma-free codes and incidence algebras,dering the binary relation the code defines on its alphabet. If the code is a maximal comma-free code we show that the relation it defines is the support relation of an incidence algebra and its complementary relation will also define an incidence algebra.

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Number of factors in K-cycle decompositions of permutations,k-cycles. Denote by f.(π) the minimal number of k-cycles required for such a representation. In this paper bounds for f.(π) are derived. These bounds are used to determine . for all k, where f.(n)=max{f.(π) | π ε S.}.

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A theorem on planar graphs,orial map theory from such a definition is still needed, however, as some theorems which are intuitively obvious topologically are not so clear combinatorially. In this paper, a combinatorial proof is provided for one such theorem.

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Sex Differences in Sleep DisordersStatisticians are interested in .. These designs present many interesting combinatorial problems. The subject is reviewed from a combinatorial viewpoint, and unsolved problems are indicated. An extensive bibliography is appended.

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Thomas Curie PhD,Paul Franken PhDGeneric algebra methods are used to translate combinatorial results about Weyl groups into statements about classical groups. A consequence is the maximal nature of the rank of the incidence matrix of isotropice-subspaces vs isotropic f-subspaces of a finite vector space V with a form F, in many cases.