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closed path
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A geometric diagram illustrating an Eulerian circuit, with arrows tracing a continuous path along intersecting straight lines that form a closed shape connecting five points. Hamiltonian circuit
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closed path

mathematics
Also known as: circuit
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A geometric diagram illustrating an Eulerian circuit, with arrows tracing a continuous path along intersecting straight lines that form a closed shape connecting five points.
Eulerian circuit A graph is a collection of vertices, or nodes, and edges between some or all of the vertices. When there exists a path that traverses each edge exactly once such that the path begins and ends at the same vertex, the path is known as an Eulerian circuit and the graph is known as an Eulerian graph. Eulerian refers to the Swiss mathematician Leonhard Euler, who invented graph theory in the 18th century.

In mathematics, a closed path, also known as a circuit or closed curve, is a path traced by a continuously moving point that returns to its starting point. This creates a loop that encloses one or more regions. Simple examples of closed curves include circles, ellipses, and polygons. In graph theory, a branch of mathematics focused on networks, a circuit is a path that begins and ends at the same vertex without traversing any edge more than once. This concept is fundamental in understanding mathematical structures and has applications in various scientific fields.123

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4 Britannica Sources
  1. curve
  2. graph theory
  3. loop
  4. loop

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