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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.
Can a graph have a euler circuit but not a hamiltonian circuit?
Yes, a graph can have an Euler circuit (a circuit that visits every edge exactly once) but not have a Hamiltonian circuit (a circuit that visits every vertex exactly once). This can happen when the graph has certain degree requirements that allow for the Euler circuit but prevent the existence of a Hamiltonian circuit.
Can a graph have an Euler circuit but not a Hamiltonian circuit?
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.
What is the difference between a Hamiltonian circuit and a Euler circuit?
In an Euler circuit we go through the whole circuit without picking the pencil up. In doing so, the edges can never be repeated but vertices may repeat. In a Hamiltonian circuit the vertices and edges both can not repeat. So Avery Hamiltonain circuit is also Eulerian but it is not necessary that every euler is also Hamiltonian.
What is a path formed by the conductors for electrons?
That path might be called a circuit. If the path is complete, it's a closed circuit.
What do you call the path electricity takes?
The electrical path is termed an electrical circuit.
A path that electricity can move through is called?
the complete path that electricity can move through is called
What is the circuit with a single path?
Series circuit
What is a circuit with a single path?
Series circuit
What circuit is a circuit in which electrical current has more than one path to follow?
A circuit that has more than one path for the current to flow is a parallel circuit. The circuit must have two or more paths to be considered parallel. A circuit that has only one current path through multiple components is a series circuit.
What kind of circuit has more than one path for current flows?
A two-path circuit.
What is the path the electricity takes called?
The path electricity takes is called a circuit.
