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arxiv: 1411.7879 · v2 · pith:QAHN2UHInew · submitted 2014-11-28 · 🧮 math.CO

Distributive Lattice Polymorphism on Reflexive Graphs

classification 🧮 math.CO
keywords distributivelatticereflexivecharacterisationsgraphspolymorphismaddressadmits
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In this paper we give two characterisations of the class of reflexive graphs admitting distributive lattice polymorphisms and use these characterisations to address the problem of recognition: for a reflexive graph G in which no two vertices have the same neighbourhood, we find a polynomial time algorithm to decide if G admits a distributive lattice polymorphism.

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