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http://dx.doi.org/10.5831/HMJ.2016.38.2.425

FACIAL STRUCTURES OF A GENERALIZED WEDGE OF POLYTOPES  

Kim, Sangwook (Department of Mathematics Chonnam National University)
Publication Information
Honam Mathematical Journal / v.38, no.2, 2016 , pp. 425-433 More about this Journal
Abstract
In this paper, we study face and flag information of a generalized wedge of two polytopes over a face. In particular, we provide the explicit formula for the cd-index of the wedge of a polytope and a one-dimensional simplex over an arbitrary face.
Keywords
generalized wedge of polytopes; f-vector; cd-index;
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1 Margaret M. Bayer and Andrew Klapper, A new index for polytopes, Discrete Comput. Geom., 6(1) (1991), 33-47.   DOI
2 Richard Ehrenborg and Harold Fox, Inequalities for cd-indices of joins and products of polytopes, Combinatorica, 23(3) (2003), 427-452.   DOI
3 R. Ehrenborg, D. Johnston, R. Rajagopalan, and M. Readdy, Cutting polytopes and ag f-vectors, Discrete Comput. Geom., 23(2) (2000), 261-271.   DOI
4 Kerstin Fritzsche and Fred B. Holt, More polytopes meeting the conjectured Hirsch bound, Discrete Math., 205(1-3) (1999), 77-84.   DOI
5 Bernt Lindstrom, On the realization of convex polytopes, Euler's formula and Mobius functions, Aequationes Math., 6 (1971), 235-240.   DOI
6 Andreas Paffenholz, Faces of Birkhoff polytopes, Electron. J. Combin., 22(1) (2015), Paper 1.67, 36.
7 Thilo Rorig, Polyhedral surfaces, polytopes, and projections. PhD thesis, 2008.
8 Gian-Carlo Rota, On the combinatorics of the Euler characteristic, In Studies in Pure Mathematics (Presented to Richard Rado), pages 221-233. Academic Press, London, 1971.
9 Thilo Rorig and Gunter M. Ziegler, Polyhedral surfaces in wedge products, Geom. Dedicata, 151 (2011), 155-173.   DOI
10 Richard P. Stanley, Enumerative combinatorics. Volume 1. Second edition, volume 49 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 2012.