The numerical relations existing between ordinary or so-called Plückerian singularities of a plane curve were determined as early as 1834 by PLÜCKER, but the inverse question has been left almost untouched. It may be stated thus: To show the existence of a curve having assigned Plückerian characters; and is equivalent to the determination of the maximum of cuspsκM that a curve of order m and genus p may have. VERONESE ... has solved the question for rational curves.
(1913). "On the existence of loci with given singularities". Transactions of the American Mathematical Society14 (1): 23–41. ISSN0002-9947. DOI:10.1090/S0002-9947-1913-1500934-0. (quote from p. 23)