Aysel Erey
Mathematics and Statistics
Assistant Professor

Contact Information
Office Location: Animal Science (ANSC) 214Phone: (435) 797-7695
Email: aysel.erey@usu.edu
Awards
Outstanding MS Mentor of the Year Award, 2026
Department of Mathematics and Statistics, USU
Undergraduate Faculty Mentor of the Year Award, 2025
College of Science, USU
Undergraduate Faculty Mentor of the Year Award, 2025
Department of Mathematics and Statistics, USU
Publications | Journal Articles
Academic Journal
- Erey, A., Gershkoff, Z., Lohss, A., Rohatgi, R., (2025). Characterization and enumeration of 3-regular permutation graphs. Rocky Mountain Journal of Mathematics, 55:1, 89-100.
- Engbers, J., Erey, A., (2025). On average sizes and enumeration of minimal edge covers. Discrete Applied Mathematics, 371, 148-164.
- Burnham, M., Erey, A., (2025). On the roots of maximal matching polynomials. Discrete Mathematics, 348:9, 114547.
- Bresar, B., Dravec, T., Erey, A., Hedzet, J., (2024). Spreading in graphs. Discrete Applied Mathematics, 353, 139-150.
- Engbers, J., Erey, A., (2024). Extremal graphs for Widom-Rowlinson colorings in k-chromatic graphs. Graphs and Combinatorics, 40, 134.
- Brown, D.E, Clawson, C., Erey, A., Garcia, R., Green, C., Hein, D., Powell, S., (2024). Fractional Vertex Cover Reliability of Graphs. Journal of Combinatorial Mathematics and Combinatorial Computing, 122, 157-172.
- Engbers, J., Erey, A., (2023). Extremal graphs for average sizes of maximal matchings. Discrete Applied Mathematics, 341, 308-321.
- Erey, A., (2023). On the average order of a dominating set of a forest. Discrete Mathematics, 346:1, 113127. doi: https://doi.org/10.1016/j.disc.2022.113127
- Engbers, J., Erey, A., Fox, J., He, X., (2021). Tomescu’s graph coloring conjecture for l-connected graphs. SIAM Journal on Discrete Mathematics, 35:2, 1478-1502. doi: https://doi.org/10.1137/19M1306646
- Erey, A., (2021). Maximal distance spectral radius of 4-chromatic planar graphs. Linear Algebra and its Applications, 618, 183-202. doi: https://doi.org/10.1016/j.laa.2021.02.005
- Erey, A., (2020). Uniform Length Dominating Sequence Graphs. Graphs and Combinatorics, 36:6, 1819–1825 . doi: https://doi.org/10.1007/s00373-020-02221-5
- Erey, A., (2019). A broken cycle theorem for the restrained chromatic function. Turkish Journal of Mathematics, 43, doi: https://doi.org/10.3906/mat-1807-200
- Engbers, J., Erey, A., (2018). Extremal colorings and independent sets. Graphs and Combinatorics, 34:6, 1347–1361. doi: https://doi.org/10.1007/s00373-018-1951-3
- Erey, A., (2018). Maximizing the number of x-colorings of 4-chromatic graphs. Discrete Mathematics, 341:5, 1419-1431. doi: https://doi.org/10.1016/j.disc.2017.09.028
- Erey, A., (2018). On the maximum number of colorings of a graph. Journal of Combinatorics, 9:3, 489 – 497. doi: DOI: https://dx.doi.org/10.4310/JOC.2018.v9.n3.a4
- Abiad, A., Brimkov, B., Erey, A., Leshock, L., Martinez-Rivera, X., O, S., Song, S., Williford, J., (2017). On the Wiener index, distance cospectrality and transmission regular graphs. Discrete Applied Mathematics, 230, 1-10.
- Brown, J., Erey, A., (2017). Restraints Permitting the Largest Number of Colourings. Discrete Applied Mathematics, 222, 76-88. doi: https://doi.org/10.1016/j.dam.2017.01.022
- Brown, J., Erey, A., (2016). On the roots of σ-polynomials. Journal of Graph Theory, 82:1, 90-102. doi: https://doi.org/10.1002/jgt.21889
- Brown, J., Erey, A., (2016). On the Real Roots of σ-Polynomials. Graphs and Combinatorics, 32:5, 1723–1730. doi: https://doi.org/10.1007/s00373-016-1684-0
- Brown, J., Erey, A., Li, J., (2015). Extremal restraints for graph colourings. Journal of Combinatorial Mathematics and Combinatorial Computing, 93, 297-304.
- Brown, J., Erey, A., (2015). New Bounds for Chromatic Polynomials and Chromatic Roots. Discrete Mathematics, 338:11, 1938-1946.
- Brown, J., Erey, A., (2014). A note on the real part of complex chromatic roots. Discrete Mathematics, 328, 96-101.
- Ekim, T., Erey, A., (2014). Block decomposition approach to compute a minimum geodetic set. RAIRO Operations Research, 48:04, 497-507.
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.
Publications | Other
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.
Teaching
MATH 2270 - Linear Algebra (QI), Fall 2025
MATH, MATH 5810, 6810 - Topics in Mathematics, Spring 2025
MATH 2270 - Linear Algebra (QI), Fall 2024
MATH 5810, 6810 - Topics in Mathematics, Spring 2024
MATH 2270 - Linear Algebra, Fall 2023
MATH 5810 - Topics in Mathematics, Spring 2023
MATH, MATH 5810, 6810 - Topics in Mathematics, Spring 2023
MATH 2270 - Linear Algebra, Fall 2022
Graduate Students Mentored
Carter Green,
Caitlynn Clawson,
Sam Powell,
Aslıhan Gür, 2022
Ahmet Tugay Kuzu, 2021