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What are the three rules for euler circuit path?

An Euler circuit is a path through a graph that visits every edge exactly once and returns to the starting vertex. The three key rules for an Euler circuit are: (1) all vertices with non-zero degree must be connected, (2) every vertex must have an even degree, and (3) the graph must be finite. If these conditions are met, an Euler circuit exists in the graph.


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 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.


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 *.............................................. ......................................................


What is a Euler path or circuit?

An euler path is when you start and one point and end at another in one sweep wirthout lifting you pen or pencil from the paper. An euler circuit is simiar to an euler path exept you must start and end in the same place you started.


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 was euler the mathematicians full name?

Leonhard Euler


Every short circuit is always a closed circuit while every closed circuit is not a short circuit?

Long winded but true.


What is the birth name of Lucie Euler?

Lucie Euler's birth name is Lucie Luise Euler.


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).


Did Leonhard Euler develop a type of math?

Euler made many contributions to virtually every area of math. His complete works fill a whole library shelf. You might say he invented graph theory.


Who are the mathematicians in between Euclid and Euler?

Leonardo euler