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Mycielski graph, with hamiltonian cycle. Graf Mycielskiego z cyklem Hamiltona. Date: 2 July 2006 (original upload date) Source: No machine-readable source provided. Own work assumed (based on copyright claims). Author: No machine-readable author provided. Mlepicki assumed (based on copyright claims).
A graph that contains a Hamiltonian path is called a traceable graph. A graph is Hamiltonian-connected if for every pair of vertices there is a Hamiltonian path between the two vertices. A Hamiltonian cycle, Hamiltonian circuit, vertex tour or graph cycle is a cycle that visits each vertex exactly once.
A verifier algorithm for Hamiltonian path will take as input a graph G, starting vertex s, and ending vertex t. Additionally, verifiers require a potential solution known as a certificate, c. For the Hamiltonian Path problem, c would consist of a string of vertices where the first vertex is the start of the proposed path and the last is the end ...
The Hamiltonian path in the permutohedron created by the Steinhaus–Johnson–Trotter algorithm. Some of the labels differ from File:Permutohedron.svg, because this is the Cayley graph: Date: 1 October 2011: Source: Own work based on File:Permutohedron.svg: Author: David Eppstein
Hamiltonian platonic graphs: Image title: Orthographic projections and planar graphs of Hamiltonian cycles of the vertices of the five Platonic solids by CMG Lee. Only the octahedron has an Eulerian path, made by extending the Hamiltonian path with the dotted path. Width: 100%: Height: 100%
Download QR code; Print/export Download as PDF; Printable version; In other projects Wikimedia Commons; ... Hamiltonian path; B. Barnette–Bosák–Lederberg graph;
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Thus, each two consecutive permutations in the sequence generated by the Steinhaus–Johnson–Trotter algorithm correspond in this way to two vertices that form the endpoints of an edge in the permutohedron, and the whole sequence of permutations describes a Hamiltonian path in the permutohedron, a path that passes through each vertex exactly ...