University of Birmingham > Talks@bham > Algebra seminar  > Metric dimensions of graphs arising from partial cubes

Metric dimensions of graphs arising from partial cubes

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Graphs isometrically embeddable into hypercubes are called partial cubes. Then naturally lead to the isometric dimension, the lattice dimension, and the Fibonacci dimension of a graph. These dimensions are defined as the smallest integer d such that a given graph admits an isometric embedding into the d-dimensional hypercube, the d-dimensional integer lattice, and the d-dimensional Fibonacci cube, respectively. In each of the three cases partial cubes are precisely the graphs having finite dimension. In the talk classical results about partial cubes as well as results on the recently introduced Fibonacci dimension (due to the speaker, Sergio Cabello and David Eppstein) will be presented.

This talk is part of the Algebra seminar series.

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