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Article Dans Une Revue Discrete Applied Mathematics Année : 2014

Square roots of minor closed graph classes

Résumé

Let G be a graph class. The square root of G contains all graphs whose square belong in G. We prove that if G is non-trivial and minor closed, then all graphs in its square root have carving-width bounded by some constant depending only on G. As a consequence, every square root of such a graph class has a linear time recognition algorithm.
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Dates et versions

hal-01083980 , version 1 (19-11-2014)
hal-01083980 , version 2 (06-11-2015)

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Nestor Nestoridis, Dimitrios M. Thilikos. Square roots of minor closed graph classes. Discrete Applied Mathematics, 2014, 168, pp.34 - 39. ⟨10.1016/j.dam.2013.05.026⟩. ⟨hal-01083980v2⟩
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