Geodesic
On the lemniscates of rational functions
Dalʹnevostočnyj matematičeskij žurnal, Tome 17 (2017) no. 2, pp. 201-209

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The impact of the connectivity of some lemniscates of the rational function on the absolute value of its derivative is considered. The role of the lemniscates in the problems of the extremal decomposition of the Riemann sphere is discussed. 
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     title = {On the lemniscates of rational functions},
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V. N. Dubinin; A. S. Afanaseva-Grigoreva. On the lemniscates of rational functions. Dalʹnevostočnyj matematičeskij žurnal, Tome 17 (2017) no. 2, pp. 201-209. http://geodesic.mathdoc.fr/item/DVMG_2017_17_2_a7/