Publications

The complete list is here.

Applied and Computational Topology

1. Influence Maximization on Hypergraphs via Similarity-based Diffusion
   Mehmet Aktas, Sidra Jawaid,  Ihsan Gokalp, Esra Akbas
   Proceedings of the 2022 IEEE International Conference on Data Mining Workshops (ICDMW), 1197-1206.
   [Paper]

2. Liars are more influential: Effect of Deception in Influence Maximization on Social Networks
   Mehmet Aktas, Esra Akbas, Ashley Hahn
   arXiv:2203.11275.
   [Paper]

3. Identifying critical higher-order interactions in complex networks
   Mehmet Aktas, Thu Nguyen, Sidra Jawaid, Rakin Riza, Esra Akbas
   Nature Scientific Reports 11, 21288, 2021.
   [Paper]

4. Homology Preserving Graph Compression
   Mehmet Aktas, Thu Nguyen, Esra Akbas
   Proceedings of the IEEE International Conference on Machine Learning and Applications   (ICMLA), 2021.
   [Paper]

5. Influential nodes detection in complex networks via diffusion frechet function
   Mehmet Aktas, Sidra Jawaid, Ebony Harrington, Esra Akbas
   Proceedings of the IEEE International Conference on Machine Learning and Applications (ICMLA), 2021.
   [Paper]

6. Hypergraph Laplacians in Diffusion Framework
   Mehmet Aktas, Esra Akbas
   Proceedings of the 10th International Conference on Complex Networks and their Applications , 2021.
   [Paper]

7. Graph Classification via Heat Diffusion on Simplicial Complexes
   Mehmet Aktas, Esra Akbas
   IEEE Access 9: 12291-12300, 2021
   [Paper]

8. Bot Detection on Social Networks using Persistent Homology
   Minh Nguyen, Mehmet Aktas, Esra Akbas
   MDPI Mathematical and Computational Applications, 25 (3), 58, 2020
   [Paper]

9. Proximity-Based Compression for Network Embedding
   Ifte Islam, Farhan Tanvir, Ginger Johnson, Esra Akbas, Mehmet Aktas
   Frontiers in big Data 3, 2020
   [Paper]

10. Text classification via network topology: A case study on the Holy Quran
    Mehmet Aktas, Esra Akbas
    Proceedings of the IEEE International Conference on Machine Learning and Applications, 2019
    [Paper]

11. Classification of Turkish makam music: a topological approach
    Mehmet Aktas, Esra Akbas, Jason Papayik, Yunus Kovankaya
    Journal of Mathematics and Music, DOI: 10.1080/17459737.2019.1622810, 2019.
    [Paper]

12. Persistence Homology of Networks: Methods and Applications
    Mehmet Aktas, Esra Akbas, Ahmed El Fatmaoui
    Applied Network Science, 2019.
    [Paper]

13. Network Embedding: on Compression and Learning
    Esra Akbas, Mehmet Aktas
    Proceedings of the IEEE Big Data Conference, 2019.
    [Paper]

14. Topological Data Analysis of Attribute Networks using Diffusion Frechet Function with Ego-Networks
    Warren Keil, Mehmet Aktas
    Complex Networks: International Conference on Complex Networks and Their Applications (extended abstract), Cambridge, United Kingdom, 2018.
    [Paper]

15. Differential transcriptional regulation by alternatively designed mechanisms: Mathematical Modeling Approach
    Necmettin Yildirim, Mehmet Aktas, Seyma Ozcan, Esra Akbas, Ahmet Ay
    In Silico Biology, pp. 1-33, 2016
    [Paper]

Topology of Curve Complements

1. Computing the Braid Monodromy of Completely Reducible n-gonal Curves
   Mehmet Aktas, Esra Akbas
   ACM - Transactions on Mathematical Software, Volume 45, Issue 1, 2019
   [Paper]

2. A polynomial invariant for plane curve complements: Krammer polynomials
   Mehmet Aktas, Serdar Cellat, Hubeyb Gurdogan
   Journal of Singularities, volume 17, 58-69, 2018.
   [Paper]

3. Dessin D'enfants of the Completely Reducible n-gonal Curves
   Mehmet Aktas
   preprint
   [Paper]

4. Topology of n-gonal Curve Complements
   Mehmet Aktas
   Ph.D. Thesis, Florida State University, 2017
   [Paper]

5. Plain Sextics with a Type E7 Singular Point
   Mehmet Aktas
   Master Thesis, Bilkent University Aug. 2011
   [Paper]

Mathematics and Statistics Education

1. Transformative Influence of Primary Historical Sources on Teaching Practices: A Case Study
   Mehmet Aktas
   Journal of Transformative Learning Special, 2019.
   [Paper]

2. "Derivative makes more sense with differentials": How primary historical sources informed a university mathematics instructor’s teaching of derivative
   Cihan Can, Mehmet Aktas
   Proceedings of the 22nd Annual Conference on Research on Undergraduate Mathematics Education (RUME), Oklahoma City, OK, 2019.
   [Paper]

3. Leonhard Euler’s Differentials: An Attempt to Restructure Teaching of the Derivative Concept
   Cihan Can, Mehmet Aktas, Janet Barnett, Kathleen Clark
   Workshop at the 8th European Summer University on History and Epistemology in Mathematics Education, Oslo, Norway, 2018.
   [Paper]