| The traveling salesman problem (TSP) consists of nding the length of the shortest closed tour visiting N \cities". We consider the Euclidean TSP where the cities are distributed randomly and independently in a d-dimensional unit hypercube. Working with periodic boundary conditions and inspired by a remarkable universality in the kth nearest neighbor distribution , we nd for the average optimu...

William Osler in an address before the St. Louis Medical Society on October 4, 1902, entitled "William Beaumont-A Pioneer American Physiologist" beckoned his audience to: Come with me on a lovely June day in 1822, to what were then far-off northern wilds, to the Island of Michilimacinac, where the waters of Lake Michigan and Lake Huron unite and where stands Fort Mackinac, rich in the memories ...

La planification de la trajectoire couverture est un domaine d'étude fascinant pour les roboticiens, avec nombreuses études disponibles dans littérature recherche. Pendant phase (...)