The Hamiltonian path problem is a topic discussed in the fields of complexity theory and graph theory. It decides if a directed or undirected graph, G...

theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or...

path in scheduling problems. The NP-hardness of the unweighted longest path problem can be shown using a reduction from the Hamiltonian path problem:...

complexity of the problem; see Hamiltonian path problem. Another related problem is the bottleneck travelling salesman problem: Find a Hamiltonian cycle in a...

similarly an instance of the Hamiltonian cycle problem. Unlike the general Hamiltonian path problem, the knight's tour problem can be solved in linear time...

solve a problem of optimal control for a dynamical system Hamiltonian path, a path in a graph that visits each vertex exactly once Hamiltonian matrix,...

and only if there is a Hamiltonian path in G. The Hamiltonian path problem is NP-complete, and hence the minimum path cover problem is NP-hard. However,...

: GT56  Hamiltonian completion: GT34  Hamiltonian path problem, directed and undirected.: GT37, GT38, GT39  Induced subgraph isomorphism problem Graph intersection...

use of DNA as a form of computation which solved the seven-point Hamiltonian path problem. Since the initial Adleman experiments, advances have occurred...

unique ordering exists, and whether a Hamiltonian path exists, despite the NP-hardness of the Hamiltonian path problem for more general directed graphs (i...

linguistic structure. Hamiltonian path problem Minimum spanning tree Route inspection problem (also called the "Chinese postman problem") Seven bridges of...

includes every vertex of the graph without repeats is known as a Hamiltonian path. Two paths are vertex-independent (alternatively, internally disjoint or...

expressed as decision problems. Boolean satisfiability problem (SAT) Knapsack problem Hamiltonian path problem Travelling salesman problem (decision version)...

NP-complete problem. This is true even when the weights are integers of polynomial magnitude. In particular, there is a reduction from the Hamiltonian path problem...

NP-complete problems. Specifically, the hamiltonian path problem (HPP) and some versions of the set cover problem are a few NP-complete problems which have...

to program E. coli to solve complicated mathematics problems, such as the Hamiltonian path problem. A computer to control protein production of E. coli...

enters the path integrals (for interactions of a certain type, these are coordinate space or Feynman path integrals), than the Hamiltonian. Possible downsides...

/ 2 {\displaystyle (n-1)/2} Hamiltonian paths that zigzag across the polygon, with each path rotated from each other path by a multiple of π / ( n − 1...

first problem attacked in this way was the Hamiltonian path problem. The simplest one is the subset sum problem. An optical device solving an instance with...

The Hamiltonian completion problem is to find the minimal number of edges to add to a graph to make it Hamiltonian. The problem is clearly NP-hard in...

Flooding algorithm Route inspection problem Hamiltonian path Hamiltonian path problem Knight's tour Traveling salesman problem Nearest neighbour algorithm Bottleneck...

The Hamiltonian is a function used to solve a problem of optimal control for a dynamical system. It can be understood as an instantaneous increment of...

such as the Boolean satisfiability problem, the Hamiltonian path problem and the vertex cover problem. Since deterministic Turing machines are special...

Unsolved problem in mathematics Does every finite connected vertex-transitive graph contain a Hamiltonian path? More unsolved problems in mathematics...

Hamiltonian simulation (also referred to as quantum simulation) is a problem in quantum information science that attempts to find the computational complexity...

odd-degree vertices Hamiltonian path – a path that visits each vertex exactly once. Route inspection problem, search for the shortest path that visits all...

Eulerian path Five room puzzle Glossary of graph theory Hamiltonian path Icosian game Travelling salesman problem Three utilities problem Euler, Leonhard...

the Hamiltonian path problem in directed graphs. Given a directed graph G with n vertices, and specified nodes s and t, the Hamiltonian path problem is...

greater than k? This problem is NP-complete (Garey & Johnson 1979). This can be shown by a reduction from the Hamiltonian path problem. It remains NP-complete...

problem. Finding the minimum degree spanning tree of an undirected graph is NP-hard. This can be shown by reduction to the Hamiltonian path problem....