19,947 research outputs found

    Разноразмерные древесные разложения полных графов

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    In this paper we explore the problem on decomposition of complete graphs into trees with various amounts of chain-, star-, comet-, and double-star-like vertices. The results of stadies are presented in the form of tables

    Mutant knots and intersection graphs

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    We prove that if a finite order knot invariant does not distinguish mutant knots, then the corresponding weight system depends on the intersection graph of a chord diagram rather than on the diagram itself. The converse statement is easy and well known. We discuss relationship between our results and certain Lie algebra weight systems.Comment: 13 pages, many figure
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