About: Medial graph

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In the mathematical discipline of graph theory, the medial graph of plane graph G is another graph M(G) that represents the adjacencies between edges in the faces of G. Medial graphs were introduced in 1922 by Ernst Steinitz to study combinatorial properties of convex polyhedra, although the inverse construction was already used by Peter Tait in 1877 in his foundational study of knots and links.

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  • En théorie des graphes, le graphe médial du graphe planaire G est un graphe M(G) qui représente les adjacences entre les côtés des faces de G. Les graphes médiaux ont été introduits en 1922 par Ernst Steinitz dans l'étude des propriétés combinatoires des polyèdres convexes, bien que la construction inverse ait déjà été utilisée par Peter Tait en 1877, dans son étude fondamentale des nœuds et entrelacs. (fr)
  • In the mathematical discipline of graph theory, the medial graph of plane graph G is another graph M(G) that represents the adjacencies between edges in the faces of G. Medial graphs were introduced in 1922 by Ernst Steinitz to study combinatorial properties of convex polyhedra, although the inverse construction was already used by Peter Tait in 1877 in his foundational study of knots and links. (en)
  • Срединный граф — граф, представляющий рёбра смежности внутри граней заданного планарного графа. (ru)
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  • En théorie des graphes, le graphe médial du graphe planaire G est un graphe M(G) qui représente les adjacences entre les côtés des faces de G. Les graphes médiaux ont été introduits en 1922 par Ernst Steinitz dans l'étude des propriétés combinatoires des polyèdres convexes, bien que la construction inverse ait déjà été utilisée par Peter Tait en 1877, dans son étude fondamentale des nœuds et entrelacs. (fr)
  • In the mathematical discipline of graph theory, the medial graph of plane graph G is another graph M(G) that represents the adjacencies between edges in the faces of G. Medial graphs were introduced in 1922 by Ernst Steinitz to study combinatorial properties of convex polyhedra, although the inverse construction was already used by Peter Tait in 1877 in his foundational study of knots and links. (en)
  • Срединный граф — граф, представляющий рёбра смежности внутри граней заданного планарного графа. (ru)
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  • Graphe médial (fr)
  • Medial graph (en)
  • Срединный граф (ru)
  • Серединний граф (uk)
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