Details

Autor(en) / Beteiligte

• BAE, YONGJU

Titel

COLORING LINK DIAGRAMS BY ALEXANDER QUANDLES

Ist Teil von

• Journal of knot theory and its ramifications, 2012-09, Vol.21 (10), p.1250094

Erscheinungsjahr

2012

Beschreibungen/Notizen

• In this paper, we study the colorability of link diagrams by the Alexander quandles. We show that if the reduced Alexander polynomial Δ L (t) is vanishing, then L admits a non-trivial coloring by any non-trivial Alexander quandle Q, and that if Δ L (t) = 1, then L admits only the trivial coloring by any Alexander quandle Q, also show that if Δ L (t) ≠ 0, 1, then L admits a non-trivial coloring by the Alexander quandle Λ/(Δ L (t)).