id: 04018804 dt: j an: 04018804 au: Dushin, B.I.; Babushkin, A.I. ti: On the determination of the optimal combination of two priority rules in the travelling salesman problem. so: Kibernetika 1985, No.4, 122-124 (1985). py: 1985 pu: Izdatel’stvo Naukova Dumka, Kiev la: RU cc: ut: priority rules; travelling salesman; weighted graph; shortest paths ci: li: ab: For the given two orderings $Π\sb 1$ and $Π\sb 2$ of vertices of a weighted graph the authors consider a rule for constructing a new ordering $Π$. They show that using this rule it is possible to construct shortest paths in time $O(n\sp 3)$. If $Π\sb 1(i)=Π\sb 2(n- i-1)$ and $Π\sb 1$ and $Π\sb 2$ are allowed to be changed dynamically during the construction of $Π$ then by using the rule Hamiltonian cycles of minimal length can be constructed. rv: M.Frumkin