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 …

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 …

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 …

Dec 19, 2019 · Explore related questions graph-theory hamiltonian-path hamiltonicity See similar questions with these tags.

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 …

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 …

Hamiltonian path is a path that contains all of the vertices of the graph. I know that if $deg (u)+deg (v) \ge n$ for every two non adjacent vertices $u$ and $v$ then the graph has Hamiltonian …

Your proof looks good. I would justify the existence of a repeated vertex using the pigeonhole principle. You also say here: "This leads to a contradiction since a cycle cannot have repeating …

I'm trying to learn Complexity classes.I want to show Hamiltonian cycle is NP Complete. The text tells me that Inorder to prove NP-Completeness we first show it belongs to NP,by taking a …