Faculty Profiles

Cho, M., Dochtermann, A. M., Inagaki, R., Oh, S., Snustad, D., & Zacovic, B. (2025). Chip-firing and critical groups of signed graphs. SIAM Journal on Discrete Mathematics, 39(2).

Dochtermann, A. M., & Matsushita, T. (2025). Simple homotopy for flag simplicial complexes and contractible transformations of graphs. Topology and Its Applications.

Almousa, A., Dochtermann, A. M., & Smith, B. (n.d.). Root polytopes, tropical types, and toric edge ideals. Algebraic Combinatorics.

Dochtermann, A. M., Nair, R., Schweig, J., Adam Van Tuyl, & Woodroofe, R. (2024). Simplicial complexes with many vertices are vertex decomposable. Electronic Journal of Combinatorics, 31(4).

Dochtermann, A. M., & Newman, A. (2023). Random subcomplexes and Betti numbers of random edge ideals. International Mathematics Research Notices, 2023(10), 8832–8871.

Dochtermann, A. M., Espinoza, J. F., Frias-Armenta, M. E., & Hernandez-Hernandez, H. A. (2023). Minimal graphs for contractible and dismantlable properties. Discrete Mathematics, 346(10).

Dochtermann, A. M., & Singh, A. (2023). Homomorphism complexes, reconfiguration, and homotopy for directed graphs. European Journal of Combinatorics, 110.

Coleman, M., Dochtermann, A. M., Geist, N., & Oh, S. (2022). Completing and extending shellings of vertex decomposable complexes. SIAM Journal of Discrete Mathematics, 36(2), 1291–1305.

Dochtermann, A. M., & Singh, A. (2022). Homomorphism complexes, reconfiguration, and homotopy for directed graphs. In Discrete Mathematics & Theoretical Computer Science.

Dochtermann, A. M., Meyers, E., Samavedam, R., & Yi, A. (2021). Integral flow and cycle chip-firing on graphs,. Annals of Combinatorics, 25(3), 595–616.

Coleman, M., Dochtermann, A. M., Geist, N., & Oh, S. (2021). Completing and extending shellings of vertex decomposable complexes (extended abstract). In DMTCS Proceedings.

Cranford, P., Dochtermann, A. M., Haithcock, E., Marsh, J., Oh, S., & Truman, A. (2021). Biconed Graphs, edge rooted forests, and h-vectors of matroid complexes. Electronic Journal of Combinatorics, 28(4).

Dochtermann, A. M., & King, H. W. (2021). Trees, parking functions, and standard monomials of skeleton ideals. Australasian Journal of Combinatorics, 81(1), 126–151.

Dochtermann, A. M. (2021). Exposed circuits, linear quotients, and chordal clutters. Journal of Combinatorial Theory, Series A, 177.

Culbertson, J., Dochtermann, A. M., Guralnik, D., & Stiller, P. (2020). Extendable shellability of d-dimensional complexes on d + 3 vertices. Electronic Journal of Combinatorics, 27(3), #P3.46.

Dochtermann, A. M., & Freij, R. (2018). Warmth and edge spaces of graphs. Adv. Appl. Math., 96, 176–194.

Dochtermann, A. M. (2016). Face rings of cycles, associahedra, and standard Young tableaux. Electron. J. Combin., 23(3).

Dochtermann, A. M., & Mohammadi, F. (2014). Cellular resolutions via mapping cones. J. Combin. Theory Ser. A, 128, 180–206.

Dochtermann, A. M., & Sanyal, R. (2014). Laplacian ideals, arrangements, and resolutions. J. Algebraic Combin, 40(3), 805–822.

Dochtermann, A. M., Joswig, M., & Sanyal, R. (2012). Tropical types and associated cellular resolutionsar resolutions. J. Algebra, 356, 304–324.

Dochtermann, A. M., & Engstrom, A. (2012). Cellular resolutions of cointerval ideals. Math. Z, 270(1), 145–163.

Dochtermann, A. M., & Schultz, C. (2012). Topology of Hom complexes and test graphs for bounding chromatic number. Israel J. Math, 187(1), 371–417.

Dochtermann, A. M., & Engstrom, A. (2009). Algebraic properties of edge ideals via combinatorial topology. Electron. J. Combin., 6(2).

Dochtermann, A. M. (2009). Homotopy groups of Hom complexes of graphs. J. Combin. Theory Ser. A, 116(1), 180–219.

Dochtermann, A. M. (2009). The universality of Hom complexes of graphs. Combinatorica, 29(4), 433–448.

Dochtermann, A. M. (2009). Hom complexes and homotopy in the category of graphs. European J. Combin, 30(2), 490–509.

Dochtermann, A. M. (2008). Hom complexes and homotopy in the category of graphs. In Electron. Notes Discrete Math. (Vol. 31, pp. 131–136).

Dochtermann, A. M., & Chan, S. (2004). Graphs with disjoint links in every spatial embedding. J. Knot Theory Ramifications, 13(06), 737–748.