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en.wikipedia.org/wiki/Hamiltonian_path

In the mathematical field of graph 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 Hamiltonian circuit) is a Hamiltonian path that is a ... who, in particular, gave an example of a polyhedron without Hamiltonian cycles.

www.math.wisc.edu/~meyer/math141/graphs2.html

A Hamiltonian Circuit is a circuit that visits every vertex exactly once. Do these graphs have a Hamiltonian circuit? Example 1: Example 2: Real life applications:

mathspace.co/learn/world-of-maths/networks/hamiltonian-paths-and-circuits-18715/hamiltonian-paths-and-circuits-1280

A Hamiltonian circuit is a circuit that visits each of the vertices once and only once and ends on the same vertex as it began. For example, in this network the ...

www.ctl.ua.edu/math103/hamilton/analyzin.htm

Unfortunately, there are no counterparts to Euler's theorems that tell us, in general, whether or not a graph has a Hamilton Circuit. Example 1: Find both an Euler ...

www.cs.sfu.ca/~ggbaker/zju/math/euler-ham.html

It seems like finding a Hamilton circuit (or conditions for one) should be more-or- less as easy as a Euler circuit. Unfortunately, it's much harder. For example, the ...

mathworld.wolfram.com/HamiltonianCycle.html

A Hamiltonian cycle, also called a Hamiltonian circuit, Hamilton cycle, or Hamilton circuit, is a graph cycle (i.e., closed loop) through a graph that visits each node ...

www.shsu.edu/~ldg005/data/mth164/mmi11_ppt_1503.ppt

A Hamilton circuit in a graph is a circuit that visits each vertex exactly once ( returning to the starting vertex to complete the circuit). 15-3-6. Example: Identifying ...

www.math.ku.edu/~jmartin/courses/math105-F11/Lectures/chapter6-part1.pdf

... visit each of six sites on Mars to collect samples (fuel is very expensive on Mars !) ... A Hamilton circuit is a circuit that uses every vertex of a graph exactly once.