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Yes.
An example:
_____A---------B________ A connected directly to B and D by one path.
_____|_______/|\________ B connected directly to A and E by one path, and to C by two paths.
_____|______/_|_\_______
_____|_____/___\_|______
_____|__E/_____\|______ E connected directly to B and D by one path.
_____|____\_____C______ C connected directly to B and D by two paths.
_____|_____\____|\_____
_____|______\___|__\___
_____|_______\__|__/___
_____|________\_|_/____
_____|_________\|/_____
_____-------------D_____ D connected directly to A and E by one path, and to C by two paths.
There is an Euler circuit: ABCDEBCDA
But a Hamiltonian circuit is impossible: as part of a circuit A can only be reached by the path BAD, but once BAD has been traversed it is impossible to get to both C and E without returning to B or D first. However there is a Hamiltonian Path: ABCDE.
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What is the difference between an Euler circuit and an Euler path?
The difference between an Euler circuit and an Euler path is in the execution of the process. The Euler path will begin and end at varied vertices while the Euler circuit uses all the edges of the graph at once.
What are Hamiltonian equations?
Hamiltonian equations are a representation of Hamiltonian mechanics. Please see the link.
A circuit in a connected graph which includes every vertex of the graph is known?
Eular
What is Hamiltonian function?
The total energy of the system simply described in classical mechanics called as Hamiltonian.
Who calculated the value of e?
Leonhard Euler (after whom it was named).Leonhard Euler (after whom it was named).Leonhard Euler (after whom it was named).Leonhard Euler (after whom it was named).
