# Was there a continuation to the Seven Bridges of Königsberg problem between Euler and Hamilton?

Since Euler's result on the Seven Bridges of Königsberg problem appears to be the first known graph theoretical result I was wondering if any mathematicians after Euler and before Hamilton commented on it or investigated any other similar results. Perhaps prominent mathematicians like Lagrange, Laplace or Gauss.

Coupy's interest in the work of Euler stemmed from two references to it in the early nineteenth century. The first of these occurred in a textbook of algebra [4], written by the Swiss mathematician Simon Antoine-Jean Lhuilier in 1804, and the second appeared in a memoir on polygons and polyhedra [5], written by Louis Poinsot in 1809... Poinsot proved, using arguments similar to those of Euler, that an Eulerian path in $$K_n$$ [complete graph on $$n$$ vertices] is impossible when $$n = 4, 6, 8, ...$$, because in these cases there are more than two vertices with odd valency. He also gave an ingenious method for constructing an Eulerian path in $$K_n$$ when $$n$$ is odd."
But Listing mentioned neither Euler nor Poinsot. Ironically, Hierholzer called Listing's treatise "unfortunately little-known" as well, but credited Listing with "incomplete proof" of his result. A commentary on Poinsot's memoir penned by Terquem appeared in the Nouvelles Annales de Mathematiques (1849), and included an interpretation of Poinsot's Eulerian path in $$K_7$$ as a complete game of dominoes. A general count of such games was published by Reiss in 1871, and a general count of Eulerian paths by Tarry in 1886. But the obliviousness continued, lengthy Wilson's On the traversing of geometrical figures (1905), published in Oxford, shows no awareness of any of the above. The subject is prone to independent rediscovery.