Project: Batch Queuing System Arborescent (BQS Arborescent) .
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Exceptional Dehn surgery on large arborescent knots
A Dehn surgery on a knot K in S is exceptional if it produces a reducible, toroidal or Seifert fibred manifold. It is known that a large arborescent knot admits no such surgery unless it is a type II arborescent knot. The main theorem of this paper shows that up to isotopy there are exactly three large arborescent knots admitting exceptional surgery, each of which admits exactly one exceptional...
متن کاملCounting Types of Runs in Classes of Arborescent Words
An arborescence is a directed rooted tree in which all edges point away from the root. An arborescent word is obtained by replacing each element of the underlying set of an arborescence by an arbitrary letter of a given alphabet (with possible repetitions). We define a run in an arborescent word as a maximal sub-arborescent word whose letters are all identical. Various types of runs (e.g., runs...
متن کاملIntra-articular knee arborescent lipoma: a case treated with arthroscopic synoviectomy
Arborescent lipoma is an unusual intra-articular lesion that typically develops in the knee and has to be evoked before chronic effusion. It corresponds to hyperplasia of mature fatty tissue and hypertrophy of synovial villi, developing within a joint. The reference treatment is synovectomy by arthrotomy. The rare forms localized to the anterior compartment of the knee can benefit from an arthr...
متن کاملSmall Seifert fibered surgery on hyperbolic pretzel knots
The study of exceptional surgery on hyperbolic knots has been well developed over the last quarter century. One particularly well studied problem is that of exceptional surgery on arborescent knots, which include Montesinos knots and pretzel knots. Thanks to the positive solution to the Geometrization conjecture [Per03a, Per03b, Per03c], any exceptional surgery is either reducible, toroidal, or...
متن کاملar X iv : 0 71 2 . 08 66 v 1 [ m at h . G T ] 6 D ec 2 00 7 ALEXANDER POLYNOMIALS AND HYPERBOLIC VOLUME OF ARBORESCENT LINKS
We realize a given (monic) Alexander polynomial by a (fibered) hyperbolic arborescent knot and link of any number of components, and by infinitely many such links of at least 4 components. As a consequence, a Mahler measure minimizing polynomial, if it exists, is realized as the Alexander polynomial of a fibered hyperbolic link of at least 2 components. For given polynomial, we give also an upp...
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