Feb 16, 2024 · Certain necessary conditions for a Hamiltonian circuit such as the graph being 2-connected, having zero pendants are met. Dirac's and Ore's theorem provide sufficient conditions, …

Aug 18, 2020 · Hamiltonian path is a path in an undirected or directed graph that visits each vertex exactly once Hamiltonian cycle is a Hamiltonian path that is a cycle, and a cycle is closed trail in …

Oct 18, 2010 · I'm looking for an explanation on how reducing the Hamiltonian cycle problem to the Hamiltonian path's one (to proof that also the latter is NP-complete). I couldn't find any on the web, …

A Hamiltonian circuit (or cycle) visits every vertex exactly once before returning to its starting point. An Eulerian circuit visits every edge exactly once in the graph before returning to the starting point.

For example, consider this graph. What are some common methods for determining whether the graph has a Hamiltonian circuit? After trying to find one, I'd conclude that it doesn't, but I don't kno...

There are $\frac {n-1} {2}$ such consecutive pairs in the upper half of the circumference with $\frac {n-1} {2}$ edges connecting them each leading to unique edge disjoint Hamiltonian circuits.

Apr 9, 2020 · – David Hernández Uriostegui Apr 9, 2020 at 19:55 Hey N.S but for example the 6-regular graph with 10 vertexs is hamiltonian, but its complement is connected and not hamiltonian ): – David …

Nov 16, 2017 · Hello, I am trying to "integrate into my understanding" the difference between Hamiltonian and Lagrangian mechanics. In a nutshell: If Lagrange did all the work and formulated L …

This is trivially Hamiltonian in that there is a zero length path that visits the vertex. [1] Part 3: If m = 1 xor n = 1, the graph is not Hamiltonian All Hamiltonian graphs are biconnected. [2] If exactly one of the …

Jul 17, 2011 · To prove: Commutator of the Hamiltonian with Position: i have been trying to solve, but i am getting a factor of 2 in the denominator carried from...