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## Eulerian path

en.wikipedia.org/wiki/Eulerian_path

In graph theory, an Eulerian trail (or Eulerian path) is a trail in a graph which visits every edge exactly once. Similarly, an Eulerian circuit or Eulerian cycle is an ...

## Euler Paths and Euler Circuits

www.math.ku.edu/~jmartin/courses/math105-F11/Lectures/chapter5-part2.pdf

An Euler circuit is a circuit that uses every edge of a graph exactly once. ▷ An Euler path starts and ends at different vertices. ▷ An Euler circuit starts and ends  ...

## Eulerian Cycle -- from Wolfram MathWorld

mathworld.wolfram.com/EulerianCycle.html

DOWNLOAD Mathematica Notebook EulerianCycleOctahedron. An Eulerian cycle, also called an Eulerian circuit, Euler circuit, Eulerian tour, or Euler tour, is a  ...

Nov 17, 2010 ... Euler Circuits and Euler Paths. In this video I discuss the ideas of: paths, multigraphs, euler paths, euler circuits, the necessary and sufficient ...

## Unicursal and Multicursal Graphs, a.k.a. Euler Circuits and Euler ...

curvebank.calstatela.edu/unimulticursal/unimulticursal.htm

Euler Circuit. Because all vertices or nodes are "even," a traversable network may be traced starting and ending at the same letter. This illustration starts and ...

## Euler Paths and Circuits

www.unc.edu/~stotts/comp410/EulerHam.ppt

Euler Paths and Circuits. The original problem. A resident of Konigsberg wrote to Leonard Euler saying that a popular pastime for couples was to try to cross ...

## Finding an Euler Circuit, Method and Example.

vertex has even degree, then there is an Euler circuit in the graph. Buried in that proof is a description of an algorithm for finding such a circuit. (a) First, pick a ...

## A proof of Euler's Theorem

www.math.uri.edu/~eaton/Euler.pdf

G, G is Eulerian if and only if every vertex has even degree. Proof: If G is Eulerian then there is an Euler circuit, P, in. G. Every time a vertex is listed, that accounts ...

## Euler Paths and Euler's Circuits - Video & Lesson Transcript | Study ...

Feb 2, 2015 ... An Euler Path. I remember being challenged to a brain game where I am given a picture of a graph with dots and connecting lines and told to ...

## Euler circuit | planetmath.org

planetmath.org/eulercircuit

An Euler circuit is a connected graph such that starting at a vertex a a a , one can traverse along every edge of the graph once to each of the other vertices and ...

### How can we tell if a graph has an Euler path or circuit?

www.ctl.ua.edu

In solving the Königsberg bridge problem, Euler proved three theorems ... If a graph has any vertices of odd degree, then it CANNOT have an EULER CIRCUIT .

### Eulerian path and circuit for undirected graph - GeeksforGeeks

www.geeksforgeeks.org

Eulerian Path is a path in graph that visits every edge exactly once. Eulerian Circuit is an Eulerian Path which starts and ends on the same vertex. Euler1.

### Eulerian Path and Circuit - Graph Magics

www.graph-magics.com

An undirected graph has an eulerian circuit if and only if it is connected and each vertex has an even degree (degree is the number of edges that are adjacent to ...