This analysis reveals non-existence criteria for maximizing curves of odd degrees, indicating the need for a new class of plane curves.
In this paper we provide the non-existence criterion for the so-called maximizing curves of odd degrees. Furthermore, in the light of our criterion, we define a new class of plane curves that generalizes the notion of maximizing curves which we call as M M -curves.
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Janasz et al. (2025) studied this question.
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