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• W1972613426 abstract "We consider proper colorings of planar graphs embedded in the annulus, such that vertices on one rim can take Q s colors, while all remaining vertices can take Q colors. The corresponding chromatic polynomial is related to the partition function of a boundary loop model. Using results for the latter, the phase diagram of the coloring problem (with real Q and Q s) is inferred, in the limits of two-dimensional or quasi one-dimensional infinite graphs. We find in particular that the special role played by Beraha numbers $Q=4cos^{2}{piover n}$ for the usual chromatic polynomial does not extend to the case Q≠Q s. The agreement with (scarce) existing numerical results is perfect; further numerical checks are presented here." @default.
• W1972613426 created "2016-06-24" @default.
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• W1972613426 date "2008-06-25" @default.
• W1972613426 modified "2023-09-25" @default.
• W1972613426 title "Boundary Chromatic Polynomial" @default.
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• W1972613426 doi "https://doi.org/10.1007/s10955-008-9585-0" @default.
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