Jy. Zhou et al., THE BASIC INVARIANTS OF LONG CURVE AND CLOSED CURVE PERESTROIKA, Journal of knot theory and its ramifications, 7(4), 1998, pp. 527-548
We give the relations between invariants of closed curves and that of
long curves. By these relations we study all extremal values of invari
ants of long curves via which of dosed curves and give the explicite f
ormulas for these extremal values.