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Titlebook: Combinatorial Mathematics VIII; Proceedings of the E Kevin L. McAvaney Conference proceedings 1981 Springer-Verlag Berlin Heidelberg 1981 L

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书目名称Combinatorial Mathematics VIII
副标题Proceedings of the E
编辑Kevin L. McAvaney
视频videohttp://file.papertrans.cn/230/229933/229933.mp4
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Combinatorial Mathematics VIII; Proceedings of the E Kevin L. McAvaney Conference proceedings 1981 Springer-Verlag Berlin Heidelberg 1981 L
出版日期Conference proceedings 1981
关键词Lattice; Mathematics; Partition; Ramsey theory; graphs; network; vertices; combinatorics
版次1
doihttps://doi.org/10.1007/BFb0091801
isbn_softcover978-3-540-10883-2
isbn_ebook978-3-540-38792-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1981
The information of publication is updating

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Further results on coverin integers of the form 1+k2N by primes,
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Simple and multigraphic realizations of degree sequences,
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Connected subgraphs of the graph of multigraphic realisations of a degree sequence,t one edge of multiplicity .. A new proof is given that the graph ., of all .-graphic realisations of a degree sequence, ., is connected. This is done by taking any two vertices of ., say . and ., and finding a path between them which preserves any previously chosen edge of multiplicity . that occur
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A construction for a family of sets and its application to matroids,n applied to . then gives .. For each subset . of ., . for exactly one pair of .∈. and corresponding .∈.. When the family . is the basis collection of a matroid on . can be described simply in terms of the matroid structure. A polynomial is defined which, in this latter case, is the Tutte polynomial
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Regularity and optimality for trees,for a given number of leaves is called optimal. Bounds for the cost of an optimal tree are proved, and these bounds are used to restrict the possible outdegrees in optimal trees. Finally, a method for proving regularity in optimal trees is presented.
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