Margaret M. Bayer

Publications

- 1.
*Facial Enumeration in Polytopes, Spheres and Other Complexes*, Ph.D. Thesis, Cornell University, 1983. - 2.
*A conjecture concerning the*, Ars Combin.*f*-vectors of polytopes**16B**(1983), 125-134. MR#85b:52004 - 3.
(with L. J. Billera)
*Counting faces and chains in polytopes and posets*, in C. Greene, ed.,*Combinatorics and Algebra*, American Mathematical Society, Providence, 1984, 207-252. MR#86f:52010a - 4.
(with L. J. Billera)
*Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets*, Invent. Math.**79**(1985), 143-157. MR#86f:52010b - 5.
*The generalized Dehn-Sommerville equations revisited*, Technical Report, 1986, 60 pages. - 6.
*The extended*, J. Combin. Theory Ser. A*f*-vectors of 4-polytopes**44**(1987), 141-151. MR#88b:52009 - 7.
*How many faces does a polytope have?*in M. Senechal and G. Fleck, eds.,*Shaping Space: A polyhedral approach*, Birkhauser, Boston, 1988, 254-255. MR#937 092 - 8.
*Barycentric subdivisions*, Pacific J. Math.**135**(1988), 1-16. MR#89k:52008 - 9.
(with B. Sturmfels)
*Lawrence polytopes*, Canad. J. Math.**42**(1990), 62-79. MR#91e:52023 - 10.
(with A. Klapper)
*A new index for polytopes*, Discrete Comput. Geom.**6**(1991), 33-47. MR#91k:52024 - 11.
*Equidecomposable and weakly neighborly polytopes*, Israel J. Math.**81**(1993), 301-320. MR#94m:52015 - 12.
(with C. Lee)
*Combinatorial Aspects of Convex Polytopes*, in P. Gruber and J. Wills, eds.,*Handbook of Convex Geometry***A**, North-Holland (Elsevier Science Publishers), Amsterdam, 1993, 485-534. MR#95e:52016 - 13.
*Recent Results: The*, Newsletter of the SIAM Activity Group on Discrete Mathematics, Vol. 4, No. 2, Winter 1993-94, pp. 5-6.*cd*-index - 14.
*Face numbers and subdivisions of convex polytopes*, in T. Bisztriczky, et al., eds.,*Polytopes: Abstract, Convex and Computational*, Wolters Kluwer Academic Publishers, 1994, 155-172. MR#96a:52012 - 15.
(with K. Brandt)
*Discriminantal arrangements, fiber polytopes and formality*, J. Algebraic Combin.**6**(1997), 229-246. MR#98f:52011 - 16.
*An upper bound theorem for rational polytopes*, J. Combin. Theory Ser. A.**83**(1998), 141-145. MR#99e:52013 - 17.
*Interior faces of subdivisions of the simplex. Abstract #940-52-168*, Abstracts Amer. Math. Soc.**20**(1999), 278-279. - 18.
(with R. Ehrenborg)
*The toric*, Trans. Amer. Math. Soc.*h*-vectors of partially ordered sets**352**(2000), 4515-4531. - 19.
(with G. Hetyei)
*Flag vectors of Eulerian partially ordered sets*, European J. Combin.**22**(2001), 5-26. - 20.
*Signs in the*, Proc. Amer. Math. Soc.*cd*-index of Eulerian partially ordered sets**129**(2001), 2219-2226. - 21.
(with A. Bruening and J. Stewart)
*A combinatorial study of multiplexes and ordinary polytopes*, Discrete Comput. Geom.**27**(2002), 49-63. - 22.
(with G. Hetyei)
*Generalizations of Eulerian partially ordered sets, flag numbers, and the Möbius function*, Discrete Math.**256**(2002), 577-593. - 23.
Book review of
*A Course in Convexity*, by Alexander Barvinok, American Mathematical Monthly**111**(February 2004), 177-180. - 24.
*Flag vectors of multiplicial polytopes*, Electronic J. Combinatorics, Vol. 11(1) R65, Sept. 20, 2004. - 25.
*Shelling and the h-vector of the (extra)ordinary polytope*, In Jacob E. Goodman, Janos Pach, and Emo Welzl, eds.,*Combinatorial and Computational Geometry*, MSRI Publications 52, Cambridge University Press, 2005, 97 - 120. - 26.
(with T. Bistriczky)
*On Gale and braxial polytopes*, Arch. Math. (Basel)**89**(2007), 373-384. - 27.
(with T. Bistriczky)
*On braxtopes, a class of generalized simplices*, Beiträge Algebra Geom.**49**(2008), 137-145. - 28.
(with K. Brandt)
*The pill problem, lattice paths and Catalan numbers*, Math. Mag.**87**(2014), 388-394. - 29.
*Graphs, skeleta, and reconstruction of polytopes*, Acta Math. Hungar.,**155**(2018), 61--73. - 30.
*The cd-Index: A Survey*, preprint, 2019. - 31.
(with Bennet Goeckner and Marija Jelić Milutinović)
*Manifold matching complexes*, preprint 2019.

Last updated 8/9/19