enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  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. Euler diagram - Wikipedia

    en.wikipedia.org/wiki/Euler_diagram

    Euler diagram illustrating that the set of "animals with four legs" is a subset ... They give examples of Venn diagrams to solve example switching-circuit problems ...

  4. Seven Bridges of Königsberg - Wikipedia

    en.wikipedia.org/wiki/Seven_Bridges_of_Königsberg

    All Eulerian circuits are also Eulerian paths, but not all Eulerian paths are Eulerian circuits. Euler's work was presented to the St. Petersburg Academy on 26 August 1735, and published as Solutio problematis ad geometriam situs pertinentis (The solution of a problem relating to the geometry of position) in the journal Commentarii academiae ...

  5. Hamiltonian path - Wikipedia

    en.wikipedia.org/wiki/Hamiltonian_path

    A Hamiltonian cycle, Hamiltonian circuit, vertex tour or graph cycle is a cycle that visits each vertex exactly once. A graph that contains a Hamiltonian cycle is called a Hamiltonian graph . Similar notions may be defined for directed graphs , where each edge (arc) of a path or cycle can only be traced in a single direction (i.e., the vertices ...

  6. Chinese postman problem - Wikipedia

    en.wikipedia.org/wiki/Chinese_postman_problem

    When the graph has an Eulerian circuit (a closed walk that covers every edge once), that circuit is an optimal solution. Otherwise, the optimization problem is to find the smallest number of graph edges to duplicate (or the subset of edges with the minimum possible total weight) so that the resulting multigraph does have an Eulerian circuit. [1]

  7. BEST theorem - Wikipedia

    en.wikipedia.org/wiki/BEST_theorem

    In 1736, Euler showed that G has an Eulerian circuit if and only if G is connected and the indegree is equal to outdegree at every vertex. In this case G is called Eulerian. We denote the indegree of a vertex v by deg(v). The BEST theorem states that the number ec(G) of Eulerian circuits in a connected Eulerian graph G is given by the formula

  8. Lagrangian and Eulerian specification of the flow field

    en.wikipedia.org/wiki/Lagrangian_and_Eulerian...

    The Eulerian specification of the flow field is a way of looking at fluid motion that focuses on specific locations in the space through which the fluid flows as time passes. [ 1 ] [ 2 ] This can be visualized by sitting on the bank of a river and watching the water pass the fixed location.

  9. Five-room puzzle - Wikipedia

    en.wikipedia.org/wiki/Five-room_puzzle

    Because there is more than one pair of vertices with an odd number of edges, the resulting multigraph does not contain an Eulerian path nor an Eulerian circuit, which means that this puzzle cannot be solved. By bending the rules, a related puzzle could be solved.