Hamiltonian path

Hamiltonian path
A path through an undirected graph which visits each vertex exactly once.

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  • Hamiltonian path — This article is about the overall graph theory concept of a Hamiltonian path. For the specific problem of determining whether a Hamiltonian path or cycle exists in a given graph, see Hamiltonian path problem. A Hamiltonian cycle in a dodecahedron …   Wikipedia

  • Hamiltonian path problem — This article is about the specific problem of determining whether a Hamiltonian path or cycle exists in a given graph. For the general graph theory concepts, see Hamiltonian path. In the mathematical field of graph theory the Hamiltonian path… …   Wikipedia

  • Hamiltonian — may refer toIn mathematics : * Hamiltonian system * Hamiltonian path, in graph theory * Hamiltonian group, in group theory * Hamiltonian (control theory) * Hamiltonian matrix * Hamiltonian flow * Hamiltonian vector field * Hamiltonian numbers (or …   Wikipedia

  • Path cover — Given a directed graph G = (V, E), a path cover is a set of directed paths such that every vertex v ∈ V belongs to at least one path. Note that a path cover may include paths of length 0 (a single vertex).[1] A path cover …   Wikipedia

  • Hamiltonian completion — 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 general case (since its solution gives an answer to the NP complete problem of determining… …   Wikipedia

  • Hamiltonian — 1. adjective Applied to various mathematical constructs developed or inspired by Hamilton, as in Hamiltonian path, Hamiltonian cycle. 2. noun a) In quantum mechanics, the observable, denoted by H, that corresponds to the total energy of the… …   Wiktionary

  • Hamiltonian cycle — noun A Hamiltonian path with an additional connection between the first and last vertices visited, forming a cycle …   Wiktionary

  • Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… …   Wikipedia

  • Path (graph theory) — In graph theory, a path in a graph is a sequence of vertices such that from each of its vertices there is an edge to the next vertex in the sequence. The first vertex is called the start vertex and the last vertex is called the end vertex . Both… …   Wikipedia

  • Eulerian path — In graph theory, an Eulerian path is a path in a graph which visits each edge exactly once. Similarly, an Eulerian circuit is an Eulerian path which starts and ends on the same vertex. They were first discussed by Leonhard Euler while solving the …   Wikipedia

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