Research

Preprints:

A. Clifton, H. Liu, L. Mattos, and M. Zheng. Subgraphs of random graphs in hereditary families. arXiv:2405.09486.

C. Buchanan, M. Carr, A. Clifton, S. Hartke, V. Iršič, N. Sieger, and R. Whitman. Trail Trap: a variant of Partial Edge Geography. arXiv:2405.05195. Submitted.

A. Clifton and N. Salia. Saturated partial embeddings of planar graphs. arXiv:2403.02458. Submitted.

A. Basit, A. Clifton, and P. Horn. Covering triangular grids with multiplicity. arXiv:2307.13257. Submitted.

Publications:

A. Clifton. New bounds on diffsequences. Discrete Mathematics (2024) 347:5, 113929

A. Clifton, X. Liu, R. Mahmoud, and A. Shantanam. Reconstruction and edge reconstruction of triangle-free graphs. Discrete Mathematics (2024) 347:2, 113753

C. Buchanan, A. Clifton, E. Culver, J. Nie, J. O'Neill, P. Rombach, and M. Yin. Odd covers of graphs. Journal of Graph Theory (2023) 104: 2, pp. 420-439

A. Clifton, B. Deb, Y. Huang, S. Spiro, and S. Yoo. Continuously increasing subsequences of random multiset permutations. European Journal of Combinatorics (2023) 110: 103708

A. Clifton and H. Huang. On almost k-covers of hypercubes. , Combinatorica (2020) 40,  pp. 511–526

K. Chokshi, A. Clifton, B. Landman, and O. Sawin. Ramsey functions for sequences with restricted gaps. Journal of Combinatorial Mathematics and Combinatorial Computing (2018) 105, pp. 35-44

A. Clifton, P. Dillery, and A. Garver. The canonical join complex for biclosed sets. Algebra Universalis (2018) 79: 84

E. Alwaise, S. Chen, A. Clifton, R. Patrias, R. Prasad, M. Shinners, and A. Zheng.  Coincidences among skew stable and dual stable Grothendieck polynomials. Involve (2018) 11: 1, pp. 143-167

A. Clifton and A. Khodkar. Super edge-graceful labelings of kites. Journal of Combinatorial Mathematics and Combinatorial Computing (2017) 102, pp. 277-295


Talks:

(June 2024)  "Saturated partial embeddings of planar graphs", Early-Career Conference in Combinatorics, University of Illinois Urbana-Champaign, Urbana, IL, USA

(April 2024) "Odd covers of cliques", 2024 KMS Spring Meeting, Daejeon, South Korea

(March 2024) "Odd covers of graphs", Yonsei University Discrete Analysis Seminar, Seoul, South Korea

(November 2023) "Saturated partial embeddings of planar graphs", Open University Discrete Mathematics Seminar Series, Online

(October 2023) "Saturated partial embeddings of planar graphs", 2023 KMS Annual Meeting, Seoul National University, Seoul, South Korea

(September 2023) "Saturated partial embeddings of planar graphs", The 25th Indonesia-Japan Conference on Discrete and Computational Geometry, Graphs, and Games, Bali, Indonesia

(August 2023) "Covers of triangular grids", Combinatorics Workshop (조합론 학술대회), Yonsei University, Seoul, South Korea

(June 2023) "Essential k-covers of the cube by hyperplanes", Canadian Discrete and Algorithmic Mathematics, University of Winnipeg, Winnipeg, MB, Canada

(March 2023) "Ramsey theory for diffsequences", Iowa State University Discrete Math Seminar, Online

(February 2023) "Covering the hypercube and other grids", The 27th KIAS Combinatorics Workshop, Korea Institute for Advanced Study, Seoul, South Korea

(October 2022) "Odd covers by complete bipartite graphs", 2022 Global KMS International Conference,  Seoul, South Korea

(October 2022) "Covers of grids", University of Nebraska-Lincoln Discrete Mathematics Seminar, Online

(September 2022) "Reconstruction and edge reconstruction of triangle-free graphs", Combinatorics Workshop (조합론 학술대회) , Gwangju Institute of Science and Technology, Gwangju, South Korea

(September 2022) "Ramsey theory for diffsequences", IBS Discrete Math Seminar, Institute for Basic Science, Daejeon, South Korea

(June 2022) "New bounds on diffsequences", SIAM Conference on Discrete Mathematics, Carnegie Mellon University, Pittsburgh, PA, USA

(April 2022) "Covers of triangular grids", Joint Mathematics Meetings, Online

(March 2022) "Almost k-covers of grids", Washington University in St. Louis Combinatorics Seminar, Online

(February 2022) "Ramsey theory for diffsequences", Copenhagen-Jerusalem Combinatorics Seminar, Online

(January 2022) "Almost k-covers of grids", UIUC Graph Theory and Combinatorics Seminar, Online

(October 2021) "Almost k-coverings of grids", AMS Fall Central Sectional Meeting, Online

(August 2021) "Almost k-covers of hypercubes", Atlanta Lecture Series in Combinatorics and Graph Theory, Online

(May 2021) "An exponential bound for exponential diffsequences", Canadian Discrete and Algorithmic Mathematics, Online

(May 2021) “Almost k-covers of hypercubes”, e-PCC Seminar Series, Online

(April 2021) “An exponential bound for exponential diffsequences”, Graduate Student Combinatorics Conference, Online

(February 2021) "An exponential bound for exponential diffsequences", POINT New Developments in Number Theory, Online

(December 2020) “An exponential bound for exponential diffsequences”, Palmetto Joint Arithmetic, Modularity, and Analysis Series, Online

(October 2015) "Super edge-graceful labelings for kites", Midwestern Conference of Combinatorics and Combinatorial Computing, College of Charleston, Charleston, SC, USA