DMGT

Discussiones Mathematicae Graph Theory 17(1) (1997) 89-93
DOI: https://doi.org/10.7151/dmgt.1041

P-BIPARTITIONS OF MINOR HEREDITARY PROPERTIES

Piotr Borowiecki

Institute of Mathematics
Technical University
Podgórna 50, 65-246 Zielona Góra, Poland
e-mail: p.borowiecki@im.uz.zgora.pl

Jaroslav Ivančo

Department of Geometry and Algebra
P.J. Šafárik University
Jesenná 5, 041 54 Košice, Slovakia
e-mail: ivanco@duro.upjs.sk

Abstract

We prove that for any two minor hereditary properties P₁ and P₂, such that P₂ covers P₁, and for any graph G ∈ P₂ there is a P₁-bipartition of G. Some remarks on minimal reducible bounds are also included.

Keywords: minor hereditary property of graphs, generalized colouring, bipartitions of graphs.

1991 Mathematics Subject Classification: 05C70, 05C15.

References

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