Margaret M. Bayer
Publications
- 1.
Facial Enumeration in Polytopes, Spheres and Other Complexes, Ph.D.
Thesis, Cornell University, 1983.
- 2.
A conjecture concerning the f-vectors of polytopes, Ars Combin. 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 f-vectors of 4-polytopes, J. Combin. Theory Ser. A
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 cd-index, Newsletter of the SIAM Activity Group
on Discrete Mathematics, Vol. 4, No. 2, Winter 1993-94, pp. 5-6.
- 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 h-vectors of partially ordered sets,
Trans. Amer. Math. Soc. 352 (2000), 4515-4531. MR#1779486
- 19.
(with G. Hetyei)
Flag vectors of Eulerian partially ordered sets,
European J. Combin. 22 (2001), 5-26. MR#1808080
- 20.
Signs in the cd-index of Eulerian partially ordered sets
, Proc. Amer. Math. Soc. 129 (2001), 2219-2226.
- 21. MR#1823903
(with A. Bruening and J. Stewart)
A combinatorial study of multiplexes
and ordinary polytopes, Discrete Comput. Geom. 27 (2002),
49-63. MR#1871688
- 22.
(with G. Hetyei)
Generalizations of Eulerian partially ordered sets,
flag numbers, and the Möbius function, Discrete Math. 256 (2002), 577-593. MR#1935777
- 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. MR#2097331
- 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. MR#2178315
- 26.
(with T. Bistriczky)
On Gale and braxial polytopes,
Arch. Math. (Basel) 89 (2007), 373-384. MR#2355157
- 27.
(with T. Bistriczky)
On braxtopes, a class of generalized simplices,
Beiträge Algebra Geom. 49 (2008), 137-145. MR#2410569
- 28.
(with K. Brandt)
The pill problem, lattice paths and Catalan numbers, Math. Mag.
87 (2014), 388-394. MR#3324707
- 29.
Graphs, skeleta, and reconstruction of polytopes, Acta Math.
Hungar., 155 (2018), 61--73. MR#3813626
- 30.
The cd-Index: A Survey, in Polytopes and discrete geometry, 1-19, Contemp. Math., 764, American Mathematical Society, 2021. MR#4239229
- 31.
(with Bennet Goeckner and Marija Jelić Milutinović)
Manifold matching complexes, Mathematika 66 (2020), 973-1002. MR#4143161
- 32.
(with Bennet Goeckner, Su Ji Hong, Tyrrell McAllister, McCabe Olsen,
Casey Pinckney, and Julianne Vega)
Lattice polytopes from Schur and symmetric Grothendieck polynomials, Electron. J. Combin. 28 (2021), P2.45. MR#4281211
- 33.
(with Marija Jelić Milutinović and Julianne Vega)
General polygonal line tilings and their matching complexes, Disc. Math., 346 (2023).
- 34.
(with Marija Jelić Milutinović and Julianne Vega)
Perfect matching complexes of honeycomb graphs, Electron. J Combin 30 (2023), p2.45
- 35.
(with Jila Niknejad)
Applying combinatorics in the design of multiversion exams, International Journal of Mathematical Education in Science and Tehnology, 2023. (Published online 03 Aug 2023)
- 36.
(with Mark Denker, Marija Jelić Milutinović, Rowan Rowlands, Sheila
Sundaram, and Lei Xue)
Total cut complexes of graphs, Discrete Comput. Geom., to appear.
Last updated 1/10/24