
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 …
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, …
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.
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.
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 …
graph theory - If $deg (u)+deg (v) \ge n-1$ for $u$ and $v$ are non ...
Hamiltonian path is a path that contains all of the vertices of the graph. I know that if deg(u) + deg(v) ≥ n d e g (u) + d e g (v) ≥ n for every two non adjacent vertices u u and v v then the graph has …
Energy operator and the Hamiltonian operator: Are they same?
Sep 1, 2017 · Undergrad Energy operator and the Hamiltonian operator: Are they same? arpon Sep 1, 2017 Energy Hamiltonian Operator Quantum mechanics Schrodinger's equation
Are there any conditions that are necessary for the existence of a ...
Nov 24, 2019 · Hamiltonian cycle implies biconnected, which in turn implies that every node has degree at least two. Hamiltonian path implies connected and at most two nodes of degree one.
Commutator of the Hamiltonian with Position and Hamiltonian with ...
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...