The Widom–Rowlinson model, the hard-core model and the extremality of the complete graph
نویسندگان
چکیده
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15 صفحه اولThe Widom-Rowlinson model, the hard-core model and the extremality of the complete graph
LetHWR be the path on 3 vertices with a loop at each vertex. D. Galvin [4, 5] conjectured, and E. Cohen, W. Perkins and P. Tetali [2] proved that for any d-regular simple graph G on n vertices we have hom(G,HWR) ≤ hom(Kd+1, HWR). In this paper we give a short proof of this theorem together with the proof of a conjecture of Cohen, Perkins and Tetali [2]. Our main tool is a simple bijection betwe...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2017
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2016.11.003