0
What else can I help you with?
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. Example: .................................................... ...A * ........................................... ......|.\ ......................................... eg Euler circuit: ACDCBA ......|...\ ........... --------- ............. ......|.....\........./...............\............ The Hamilton circuit is impossible as it has two ......|.......\...../...................\.......... halves (ACD & CD) connected to each other only ......|.........\./.......................\........ at vertex C. Once vertex C has been reached in ......|.......C *........................* D.... one half, it can only be used to start a path in ......|........./.\......................./......... the other half, or complete the cycle in the ......|......./.....\.................../........... current half; or if the path starts at C, it will end ......|...../.........\.............../............. without the other half being visited before C is ......|.../ ........... --------- .............. revisited. ......|./ ........................................... ...B *.............................................. ......................................................
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 euler graph?
An Euler graph, also known as an Eulerian graph, is a type of graph in which there exists a closed trail that visits every edge exactly once, known as an Eulerian circuit. For a graph to be Eulerian, it must be connected and all of its vertices must have even degrees. If a graph has exactly two vertices of odd degree, it has an Eulerian path but not a circuit. Euler graphs are named after the mathematician Leonhard Euler, who studied them in the context of the Seven Bridges of Königsberg problem.
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.
A path that electricity can move through is called?
the complete path that electricity can move through is called
What do you call the path electricity takes?
The electrical path is termed an electrical circuit.
What is a circuit with a single path?
Series circuit
What is the 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 is an electrical path that is not complete?
An electrical path that is not complete is called an open circuit. In an open circuit, there is a break in the path that prevents the flow of electricity, so the circuit is not complete and devices connected to it will not function.
