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Article Dans Une Revue The Electronic Journal of Combinatorics Année : 2018

Boxicity, poset dimension, and excluded minors

Louis Esperet

Résumé

In this short note, we relate the boxicity of graphs (and the dimension of posets) with their generalized coloring parameters. In particular, together with known estimates, our results imply that any graph with no $K_t$-minor can be represented as the intersection of $O(t^2\log t)$ interval graphs (improving the previous bound of $O(t^4)$), and as the intersection of $\tfrac{15}2 t^2$ circular-arc graphs.

Dates et versions

hal-01757839 , version 1 (04-04-2018)

Identifiants

Citer

Louis Esperet, Veit Wiechert. Boxicity, poset dimension, and excluded minors. The Electronic Journal of Combinatorics, 2018, 25 (4), pp.P4.51. ⟨10.37236/7787⟩. ⟨hal-01757839⟩
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