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A spanning tree expansion of the jones polynomial

1987; Elsevier BV; Volume: 26; Issue: 3 Linguagem: Inglês

10.1016/0040-9383(87)90003-6

1879-3215

Morwen Thistlethwaite,

Advanced Combinatorial Mathematics

A NEW combinatorial formulation of the Jones polynomial of a link is used to establish some basic properties of this polynomial. A striking consequence of these properties is the result that a link admitting an alternating diagram with m crossings and with no “nugatory” crossing cannot be projected with fewer than m crossings.