hamiltonian path การใช้

• This can be shown by a reduction from the Hamiltonian path problem.
• He proved that every finite tournament contains an odd number of Hamiltonian paths.
• This argument also gives an algorithm for finding the Hamiltonian path.
• The Petersen graph has a Hamiltonian path but no Hamiltonian cycle.
• The Hamiltonian path problem is NP-complete, and hence the minimum path cover problem is NP-hard.
• As one simple example, finding a Hamiltonian path for a graph thus encoded is "'NEXPTIME "'- complete.
• One proof of this hardness result uses a reduction from the Hamiltonian path problem in directed graphs.
• Every Fibonacci cube has a Hamiltonian path.
• Hamilton s work in this area resulted indirectly in the terms Hamiltonian circuit and Hamiltonian path in graph theory.
• :: : : 2xn seems easy ( isn't that a Hamiltonian path is determined by its endpoints ? ).
• Adleman demonstrated a proof-of-concept use of DNA as a form of computation which solved the seven-point Hamiltonian path problem.
• Leonard Adleman's experiment computing a Hamiltonian path using DNA components, was rebuilt by the Llopis siblings with inorganic electronic components.
• Example applications of DNA computing are in solution for the Hamiltonian path problem which is a known NP complete one.
• A minimum path cover consists of one path if and only if there is a Hamiltonian path in " G ".
• However, if no such Hamiltonian path exists, then the best traveling salesman tour must have weight at least | V |.
• Moreover, if the tournament is 4 connected, each pair of vertices can be connected with a Hamiltonian path ( Thomassen 1980 ).
• Now I was wondering you can't find a path that minimizes back-tracking and you said this is similar to hamiltonian paths and cycles.
• Studies are also being performed attempting to program " E . coli " to solve complicated mathematics problems, such as the Hamiltonian path problem.
• :I think this is the " minimum leaf spanning tree " problem, which is NP complete since it has the Hamiltonian path as a special case.
• A Hamiltonian path in the original graph G exists if and only if there exists a traveling salesman solution with weight ( | V |-1 ).