discrete mathematics - What is the difference between a Hamiltonian ...
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 …
discrete mathematics - How To Tell If A Graph is A Hamiltonian ...
Feb 24, 2016 · So, I can look at this graph and tell that it is not a Hamiltonian, but I do not know the actual mathematical reason why. I can see that if you start on one vertex, then it would be impossible …
How many Hamiltonian cycles are there in a complete graph $K_n$ ($n ...
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.
Reduction from Hamiltonian cycle to Hamiltonian path
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, …
Necessary condition for Hamiltonian path - Mathematics Stack Exchange
Dec 4, 2021 · Determining a graph does not contain Hamiltonian path is very difficult. See for example this particular graph. This sufficient condition for Hamiltonian path found in this link ClickHere does not
Let $G$ be connected graph $r−$regular, show that if $G
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 …
Difference between Hamiltonian and Lagrangian Mechanics
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 …
Are there any efficient ways to tell if a graph has a Hamiltonian circuit?
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...
How many Hamiltonian circuits are there in a complete graph with n ...
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.
Does the graph have a Hamiltonian circuit or a Hamiltonian path ...
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, …