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A Survey of the Path Partition Conjecture

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Frick M.

Discussiones Mathematicae Graph Theory

2013

tom 33

nr 1

117-131

The Path Partition Conjecture (PPC) states that if G is any graph and (λ1, λ2) any pair of positive integers such that G has no path with more than λ1 + λ2 vertices, then there exists a partition (V1, V2) of the vertex set of G such that Vi has no path with more than λi vertices, i = 1, 2. We present a brief history of the PPC, discuss its relation to other conjectures and survey results on the PPC that have appeared in the literature since its first formulation in 1981.

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1 Discussiones Mathematicae Graph Theory

1 Frick M.

1 2013

Wyniki wyszukiwania

A Survey of the Path Partition Conjecture