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  1. Prove that if G is 4-ordered Hamiltonian graph, then G is 3-connected

    Nov 1, 2024 · Prove that if G is 4-ordered Hamiltonian graph, then G is 3-connected Ask Question Asked 1 year, 3 months ago Modified 1 year, 3 months ago

  2. 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.

  3. Is the Hamiltonian always the total energy? - Physics Forums

    Apr 29, 2016 · The Hamiltonian is not always equivalent to the total energy of a system in classical mechanics. While it is often identified with total energy, exceptions arise in specific scenarios, such …

  4. What Is the Difference Between Hamiltonian and Hermitian Operators?

    Oct 5, 2010 · The discussion revolves around the distinction between Hamiltonian and Hermitian operators, focusing on their definitions, properties, and implications in quantum mechanics and …

  5. Given a Hamiltonian, finding the energy levels - Physics Forums

    Mar 8, 2017 · Discussion Overview The discussion revolves around the process of finding energy levels from a given Hamiltonian in quantum mechanics. Participants explore strategies for solving the …

  6. 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 …

  7. 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.

  8. Energy operator and the Hamiltonian operator: Are they same?

    Sep 1, 2017 · Isn't the Hamiltonian Operator in the Schrödinger's time dependent equation is the Hamiltonian operator defined for the particular system we are considering? Well you have this …

  9. If the subdivision of a graph $G$ is Hamiltonian, is $G$ Eulerian?

    Nov 3, 2025 · $G$ has a vertex of degree $0$ or $1$ (in which case, the same is true of the subdivision - but a Hamiltonian graph must have minimum degree $2$); $G$ has a vertex of degree $3$ or more.

  10. Hamiltonian Function - Definition & Explanation - Physics Forums

    Sep 28, 2007 · The hamiltonian is a quantity which is conserved by a system if that system is invariant under a translation in time. If the system is composed of point particles described by cartesian …