Bernhard–Jablan conjecture on the unlinking number

Let LL be a link. Its unlinking number u(L)u(L) is the minimum number of crossing changes needed to transform LL into an unlink, and uBJ(L)u_{BJ}(L) denotes its Bernhard–Jablan unlinking number. Bernhard–Jablan conjecture. For every link LL we have

u(L)=uBJ(L).u(L)=u_{BJ}(L).

The conjecture asserts equality between the classical unlinking number and the Bernhard–Jablan unlinking number; the supplied source does not establish whether it has been resolved.

Sources & referencesView supporting material

Primary source

Slavik Jablan and Radmila Sazdanović, “Unlinking Number and Unlinking Gap”, arXiv:math/0503270 (2007).

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