Formal definition · a vertex for each edge of G and · an edge between two vertices for each face of G in which their corresponding edges occur consecutively. |
A graph derived from a given plane graph such that this derived graph has a vertex corresponding to each edge of the given graph. |
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… |
Medial Graph definition: A graph derived from a given plane graph such that this derived graph has a vertex corresponding to each edge of the given graph, ... |
In this paper we examine current and voltage graphs in the context of the medial graph, a 4-regular graph formed from an embedded graph which encodes both the ... |
Краткое описание. ОписаниеMedial graph example.svg. English: Example of a plane graph (in blue) and its medial graph (in red). Дата, 8 декабря 2012. Источник. |
A median graph is then defined as a simple graph in which every three vertices possess a unique median. |
One can modify the construction accordingly for the case of an embedded graph w/boundary by allowing vertices of the medial graph to have two neighbors. |
In this work, we systematically develop formal tools for analyzing the geometry and the dynamics of hypergraphs. |
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