Separation dimension and degree

The separation dimension of a graph G is the minimum positive integer d for which there is an embedding of G into ℝd, such that every pair of disjoint edges are separated by some axis-parallel hyperplane. We prove a conjecture of Alon et al. [SIAM J. Discrete Math. 2015] by showing that every graph...

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Bibliographic Details
Main Authors: Scott, A, Wood, D
Format: Journal article
Language:English
Published: Cambridge University Press 2019