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  2. Eulerian path - Wikipedia

    en.wikipedia.org/wiki/Eulerian_path

    An Eulerian trail, [note 1] or Euler walk, in an undirected graph is a walk that uses each edge exactly once. If such a walk exists, the graph is called traversable or semi-eulerian. [3] An Eulerian cycle, [note 1] also called an Eulerian circuit or Euler tour, in an undirected graph is a cycle that uses each edge exactly once

  3. Seven Bridges of Königsberg - Wikipedia

    en.wikipedia.org/wiki/Seven_Bridges_of_Königsberg

    Since the graph corresponding to historical Königsberg has four nodes of odd degree, it cannot have an Eulerian path. An alternative form of the problem asks for a path that traverses all bridges and also has the same starting and ending point. Such a walk is called an Eulerian circuit or an Euler tour. Such a circuit exists if, and only if ...

  4. Five-room puzzle - Wikipedia

    en.wikipedia.org/wiki/Five-room_puzzle

    As the solution line is drawn, he will see it enter his room through one wall and leave through another. He may also see that the line starts in his room and/or ends in his room. There is no observer in the area outside the drawing, so there are five observers. Consider, first, the observers in the lower-left and lower-right rooms.

  5. Handshaking lemma - Wikipedia

    en.wikipedia.org/wiki/Handshaking_lemma

    Euler stated the fundamental results for this problem in terms of the number of odd vertices in the graph, which the handshaking lemma restricts to be an even number. If this number is zero, an Euler tour exists, and if it is two, an Euler path exists. Otherwise, the problem cannot be solved.

  6. Huh? If Your Right Eye Is Twitching, There Could Be a ... - AOL

    www.aol.com/huh-eye-twitching-could-spiritual...

    The twitching of the right eye could be seen as a heightened sensitivity to energies and a potential awakening of one's intuition. Some believe that it signifies an opening of the third eye.

  7. Glossary of graph theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_graph_theory

    Eulerian An Eulerian path is a walk that uses every edge of a graph exactly once. An Eulerian circuit (also called an Eulerian cycle or an Euler tour) is a closed walk that uses every edge exactly once. An Eulerian graph is a graph that has an Eulerian circuit.

  8. Why your eye is twitching and how to stop it - AOL

    www.aol.com/news/eye-twitch-causes-how-to-stop...

    One of the main triggers of an eye twitch is stress. For premium support please call: 800-290-4726 more ways to reach us

  9. Woman's eye twitching, mystery symptoms lead to ... - AOL

    www.aol.com/news/womans-eye-twitching-mystery...

    Woman was healthy when she began experiencing eye twitching, face pain. She had cancer in her salivary glands. Woman's eye twitching, mystery symptoms lead to frightening diagnosis