Acyclic k-Coloring. Acyclic k-Coloring Acyclic Coloring with Division Vertices.

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Presentation transcript:

Acyclic k-Coloring

Acyclic Coloring with Division Vertices

Acyclic Coloring with Division Vertices

Why subdivision ?

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 3-Coloring with 2n-5 Division Vertices

Acyclic 4-Coloring with 1.5n-3.5 division vertices

Acyclic 4-Coloring with 1.5n-3.5 division vertices

Acyclic 4-Coloring with 1.5n-3.5 division vertices

Acyclic 4-Coloring with 1.5n-3.5 division vertices

Acyclic 4-Coloring with 1.5n-3.5 division vertices

Acyclic 4-Coloring with 1.5n-3.5 division vertices

Acyclic 4-Coloring with 1.5n-3.5 division vertices

Acyclic 4-Coloring with 1.5n-3.5 division vertices

Lower Bounds

Lower Bound for Acyclic 3-Coloring

Lower Bound for Acyclic 3-Coloring

Lower Bound for Acyclic 3-Coloring

Lower Bound for Acyclic 3-Coloring

Lower Bound for Acyclic 4-Coloring