Dimension (graph theory)

id: dimension-graph-theory-232-2403728
title: Dimension (graph theory)
text: In mathematics, and particularly in graph theory, the dimension of a graph is the least integer n such that there exists a "classical representation" of the graph in the Euclidean space of dimension n with all the edges having unit length. In a classical representation, the vertices must be distinct points, but the edges may cross one another. The dimension of a graph G is written dim ⁡ G . For example, the Petersen graph can be drawn with unit edges in E 2 , but not in E 1 : its dimension is th
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Dimension_(graph_theory)
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date modified: 2023-08-14T06:19:11Z
main entity: {"identifier":"Q13415176","url":"https://www.wikidata.org/entity/Q13415176"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/be/Petersen_graph%2C_unit_distance.svg","width":1035,"height":986}
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