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Weight of faces in plane maps

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Abstract

Precise upper bounds are obtained for the minimum weight of minor faces in normal plane maps and 3-polytopes with specified maximum vertex degree.

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Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 648–657, November, 1998.

The research of the first named author was supported in part by the Visiting Fellowship Research Grant GR/K00561 from the Engineering and Physical Sciences Research Council and by the Russian Foundation for Basic Research under grant No. 96-01-01614 and No. 97-01-01075.

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Borodin, O.V., Woodall, D.R. Weight of faces in plane maps. Math Notes 64, 562–570 (1998). https://doi.org/10.1007/BF02316280

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  • DOI: https://doi.org/10.1007/BF02316280

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