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seven bridges of Königsberg and multigraph. basic types of graphs
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multigraph

mathematics

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definition

  • bridges of Königsberg
    In graph theory

    …the graph is called a multigraph. A graph without loops and with at most one edge between any two vertices is called a simple graph. Unless stated otherwise, graph is assumed to refer to a simple graph. When each vertex is connected by an edge to every other vertex, the…

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  • Ferrers' partitioning diagram for 14
    In combinatorics: Eulerian cycles and the Königsberg bridge problem

    A multigraph G consists of a non-empty set V(G) of vertices and a subset E(G) of the set of unordered pairs of distinct elements of V(G) with a frequency f ≥ 1 attached to each pair. If the pair (x1, x2) with frequency f belongs to…

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