Examples of 'hamiltonian cycle' in a sentence
Meaning of "hamiltonian cycle"
hamiltonian cycle: In graph theory, a Hamiltonian cycle refers to a closed loop or circuit in a graph that visits every vertex exactly once and returns to the starting point
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- A Hamiltonian path with an additional connection between the first and last vertices visited, forming a cycle.
How to use "hamiltonian cycle" in a sentence
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hamiltonian cycle
In all other cases it has a Hamiltonian cycle.
The Hamiltonian cycle problem is the following decision problem.
Every prism graph has a Hamiltonian cycle.
A Hamiltonian cycle is a cycle which contains every vertex of the graph.
Such a circuit is called a Hamiltonian cycle.
A Hamiltonian cycle is a Hamiltonian path that also creates a cycle.
The cycle is called an Hamiltonian cycle.
It also forms a Hamiltonian cycle on a hypercube, where each bit is seen as one dimension.
It is the smallest bridgeless cubic graph with no Hamiltonian cycle.
An indifference graph has a Hamiltonian cycle if and only if it is biconnected.
The cube of every connected graph necessarily contains a Hamiltonian cycle.
A graph that contains a Hamiltonian cycle is called a Hamiltonian graph.
A lesser known fact is that every perfect matching in the hypercube extends to a Hamiltonian cycle.
This is a Hamiltonian cycle.
The Herschel graph is the smallest possible polyhedral graph that does not have a Hamiltonian cycle.
See also
Contains a Hamiltonian cycle.
Hamilton maze A maze in which the goal is to find the unique Hamiltonian cycle.
The game 's object was to find a Hamiltonian cycle along the edges of a dodecahedron.
The Petersen graph has a Hamiltonian path but no Hamiltonian cycle.
Finding a Hamiltonian cycle remains NP-complete even for split graphs which are strongly chordal graphs.
The question whether every matching extends to a Hamiltonian cycle remains an open problem.
A Hamiltonian cycle is a Hamiltonian path, which is also a cycle.
The segments form a Hamiltonian cycle.
A Hamiltonian cycle ( or Hamiltonian circuit ) is a Hamiltonian path that is a cycle.
Every Hanoi graph contains a Hamiltonian cycle.
The directed and undirected Hamiltonian cycle problems were two of Karp 's 21 NP-complete problems.
This is enough for Victor to check that H does indeed contain a Hamiltonian cycle.
Let G be a finite planar graph with a Hamiltonian cycle C, with a fixed planar embedding.
A graph g is prism-hamiltonian if the prism over g contains a hamiltonian cycle.
Hamiltonian cycle for a large graph = = = In this scenario, Peggy knows a Hamiltonian cycle for a large graph, " G.
Such a cycle is called a Hamiltonian cycle of G.
Therefore, it is a counterexample to Tait 's conjecture that every 3-regular polyhedron has a Hamiltonian cycle.
A 2-vertex-connected graph, its square, and a Hamiltonian cycle in the square.
Then, according to the conjecture, the graph of the polyhedron has a Hamiltonian cycle.
Palmer ( 1997 ) describes the following simple algorithm for constructing a Hamiltonian cycle in a graph meeting Ore 's condition.
A Hamiltonian graph, also called a Hamilton graph, is a graph possessing a Hamiltonian cycle.
A theorem by Nash-Williams says that every k ‑ regular graph on 2k + 1 vertices has a Hamiltonian cycle.
Zero-Knowledge, Peggy 's answers do not reveal the original Hamiltonian cycle in " G.
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Examples of using Hamiltonian
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Hamiltonian dynamics can be used for this
We have to split the hamiltonian into two parts
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