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.

19. (with G. Hetyei) Flag vectors of Eulerian partially ordered sets, European J. Combin. 22 (2001), 5-26.

20. Signs in the cd-index of Eulerian partially ordered sets , Proc. Amer. Math. Soc. 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