Semilattice polymorphisms and chordal graphs

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Semilattice polymorphisms and chordal graphs

We investigate the class of reflexive graphs that admit semilattice polymorphisms, and in doing so, give an algebraic characterisation of chordal graphs. In particular, we show that a graph G is chordal if and only if it has a semilattice polymorphism such that G is a subgraph of the comparability graph of the semilattice. Further, we find a new characterisation of the leafage of a chordal grap...

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2014

ISSN: 0195-6698

DOI: 10.1016/j.ejc.2013.10.007