• Corpus ID: 235390376

Graphs that are minor minimal with respect to dimension

  title={Graphs that are minor minimal with respect to dimension},
  author={Thomas John Giardina and Joel Foisy},
Erdős, Harary, and Tutte defined the dimension of a graph G as the smallest natural number n such that G can be embedded in R with each edge a straight line segment of length 1. Since the proposal of this definition, little has been published on how to compute the exact dimension of graphs and almost nothing has been published on graphs that are minor minimal with respect to dimension. This paper develops both of these areas. In particular, it (1) establishes certain conditions under which… 

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