Deza, Michel; Dutour Sikirić, Mathieu Generalized cut and metric polytopes of graphs and simplicial complexes. (English) Zbl 1442.05253 Optim. Lett. 14, No. 2, 273-289 (2020). MSC: 05E45 52B12 90C27 90C57 PDF BibTeX XML Cite \textit{M. Deza} and \textit{M. Dutour Sikirić}, Optim. Lett. 14, No. 2, 273--289 (2020; Zbl 1442.05253) Full Text: DOI
Nevo, Eran; Pineda-Villavicencio, Guillermo; Ugon, Julien; Yost, David Almost simplicial polytopes: the lower and upper bound theorems. (English) Zbl 1444.52005 Can. J. Math. 72, No. 2, 537-556 (2020). Reviewer: Peter McMullen (London) MSC: 52B05 52B12 52B22 PDF BibTeX XML Cite \textit{E. Nevo} et al., Can. J. Math. 72, No. 2, 537--556 (2020; Zbl 1444.52005) Full Text: DOI
Ehrenborg, Richard; Hetyei, Gábor; Readdy, Margaret A bijective answer to a question of Simion. (English) Zbl 1423.52014 J. Integer Seq. 22, No. 1, Article 19.1.2, 11 p. (2019). Reviewer: Geir Agnarsson (Fairfax) MSC: 52B05 05A15 05E45 52B12 PDF BibTeX XML Cite \textit{R. Ehrenborg} et al., J. Integer Seq. 22, No. 1, Article 19.1.2, 11 p. (2019; Zbl 1423.52014) Full Text: Link
Ehrenborg, Richard; Hetyei, Gábor; Readdy, Margaret Simion’s type \(B\) associahedron is a pulling triangulation of the Legendre polytope. (English) Zbl 1395.52014 Discrete Comput. Geom. 60, No. 1, 98-114 (2018). MSC: 52B05 52B12 52B15 05A15 05E45 PDF BibTeX XML Cite \textit{R. Ehrenborg} et al., Discrete Comput. Geom. 60, No. 1, 98--114 (2018; Zbl 1395.52014) Full Text: DOI arXiv
Gordon, J.; Petrov, F. Combinatorics of the Lipschitz polytope. (English) Zbl 1386.52010 Arnold Math. J. 3, No. 2, 205-218 (2017). MSC: 52B11 54E35 05E45 52B12 PDF BibTeX XML Cite \textit{J. Gordon} and \textit{F. Petrov}, Arnold Math. J. 3, No. 2, 205--218 (2017; Zbl 1386.52010) Full Text: DOI arXiv
Pak, Igor; Wilson, Stedman Skyscraper polytopes and realizations of plane triangulations. (English) Zbl 1371.05056 J. Comb. Theory, Ser. B 127, 82-110 (2017). MSC: 05C10 05C12 52B12 PDF BibTeX XML Cite \textit{I. Pak} and \textit{S. Wilson}, J. Comb. Theory, Ser. B 127, 82--110 (2017; Zbl 1371.05056) Full Text: DOI
Farber, Miriam; Mandelshtam, Yelena Arrangements of minors in the positive Grassmannian and a triangulation of the hypersimplex. (English. French summary) Zbl 1335.05241 Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6–10, 2015. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 499-510 (2015). MSC: 05E45 14M15 52B12 PDF BibTeX XML Cite \textit{M. Farber} and \textit{Y. Mandelshtam}, in: Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6--10, 2015. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 499--510 (2015; Zbl 1335.05241) Full Text: Link
Vershik, A. M. Classification of finite metric spaces and combinatorics of convex polytopes. (English) Zbl 1348.54021 Arnold Math. J. 1, No. 1, 75-81 (2015). MSC: 54E35 52B12 05E45 PDF BibTeX XML Cite \textit{A. M. Vershik}, Arnold Math. J. 1, No. 1, 75--81 (2015; Zbl 1348.54021) Full Text: DOI
Spreer, Jonathan Partitioning the triangles of the cross polytope into surfaces. (English) Zbl 1263.52010 Beitr. Algebra Geom. 53, No. 2, 473-486 (2012). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B12 52B70 57Q15 57M20 05C10 PDF BibTeX XML Cite \textit{J. Spreer}, Beitr. Algebra Geom. 53, No. 2, 473--486 (2012; Zbl 1263.52010) Full Text: DOI arXiv
Bisztriczky, Tibor; Böröczky, Károly On edge-antipodal \(d\)-polytopes. (English) Zbl 1199.52026 Period. Math. Hung. 57, No. 2, 131-141 (2008). Reviewer: Horst Martini (Chemnitz) MSC: 52B11 52B12 PDF BibTeX XML Cite \textit{T. Bisztriczky} and \textit{K. Böröczky}, Period. Math. Hung. 57, No. 2, 131--141 (2008; Zbl 1199.52026) Full Text: DOI
Björner, Anders A comparison theorem for \(f\)-vectors of simplicial polytopes. (English) Zbl 1144.52009 Pure Appl. Math. Q. 3, No. 1, 347-356 (2007). Reviewer: Peter McMullen (London) MSC: 52B05 52B15 PDF BibTeX XML Cite \textit{A. Björner}, Pure Appl. Math. Q. 3, No. 1, 347--356 (2007; Zbl 1144.52009) Full Text: DOI arXiv
Paffenholz, Andreas; Werner, Axel Constructions for 4-polytopes and the cone of flag vectors. (English) Zbl 1123.52005 Athanasiadis, Christos A. (ed.) et al., Algebraic and geometric combinatorics. Euroconference in mathematics, algebraic and geometric combinatorics, Anogia, Crete, Greece, August 20–26, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4080-0/pbk). Contemporary Mathematics 423, 283-303 (2006). Reviewer: Egon Schulte (Boston) MSC: 52B05 52B12 PDF BibTeX XML Cite \textit{A. Paffenholz} and \textit{A. Werner}, Contemp. Math. 423, 283--303 (2006; Zbl 1123.52005)
Joswig, Michael Projectivities in simplicial complexes and colorings of simple polytopes. (English) Zbl 1054.05039 Math. Z. 240, No. 2, 243-259 (2002). Reviewer: Michael Ian Hartley (Kuala Lumpur) MSC: 05C15 52B11 52B12 PDF BibTeX XML Cite \textit{M. Joswig}, Math. Z. 240, No. 2, 243--259 (2002; Zbl 1054.05039) Full Text: DOI arXiv
Bisztriczky, T. On sewing neighbourly polytopes. (English) Zbl 1029.52003 Note Mat. 20(2000-2001), No. 1, 73-80 (2001). Reviewer: Volker Kaibel (Berlin) MSC: 52B11 52B12 PDF BibTeX XML Cite \textit{T. Bisztriczky}, Note Mat. 20, No. 1, 73--80 (2000; Zbl 1029.52003)
Adin, Ron M. On face numbers of rational simplicial polytopes with symmetry. (English) Zbl 0843.52006 Adv. Math. 115, No. 2, 269-285 (1995). Reviewer: H.Martini (Chemnitz) MSC: 52B05 PDF BibTeX XML Cite \textit{R. M. Adin}, Adv. Math. 115, No. 2, 269--285 (1995; Zbl 0843.52006) Full Text: DOI
Schöne, W. Construction of polytopal graphs. (English) Zbl 0771.05094 Combinatorics, graphs and complexity, Proc. 4th Czech. Symp., Prachatice/Czech. 1990, Ann. Discrete Math. 51, 293-296 (1992). Reviewer: M.Demlová (Praha) MSC: 05C99 52B05 52B12 PDF BibTeX XML Cite \textit{W. Schöne}, Ann. Discrete Math. 51, 293--296 (1992; Zbl 0771.05094)
Stanley, Richard P. On the number of faces of centrally-symmetric simplicial polytopes. (English) Zbl 0611.52002 Graphs Comb. 3, 55-66 (1987). Reviewer: R.Schneider MSC: 52Bxx 05A20 PDF BibTeX XML Cite \textit{R. P. Stanley}, Graphs Comb. 3, 55--66 (1987; Zbl 0611.52002) Full Text: DOI