ד"ר מריאנה דורצ'בה

P. Slobodsky, M. Durcheva, “Trusted e-assessment in high math courses based on the Halomda platform”. AIP Conf. Proc. 7 June 2024; 3094 (1): 360004

P. Slobodsky, M. Durcheva, L. Kugel (2024). “Enhancing Students’ Preparation for Math Exams using the Advanced Features of the Halomda Platform”. International Journal for Technology in Mathematics Education, Vol 31, No 1, pp. 21-28(8), May 2024.

P. Slobodsky and M. Durcheva (2024). “Comprehensive E-learning of Mathematics using the Halomda Platform enhanced with AI tools”. Journal of Engineering Research and Sciences, 3(4): 10-19, 2024. 26 April, 2024

M.Durcheva, K. Danilchenko, “Secure Key Exchange in Tropical Cryptography: Leveraging Efficiency with Advanced Block Matrix Protocols”. Mathematics 2024, 12, 1429.

M. Durcheva, P. Slobodsky, “Interactive guided training in higher mathematics courses with Halomda platform”. AIP Conf. Proc. 7 June 2024; 3094 (1): 360003

Ivanova, M.; Durcheva, M. M-Polar Fuzzy Graphs and Deep Learning for the Design of Analog Amplifiers. Mathematics 2023, 11, 1001.

1. L. Kugel, P. Slobodsky, & M. Durcheva, (2023). Combined Teaching of Mathematics with the Halomda Platform. International Journal of Emerging Technologies in Learning (iJET), 18(20), pp. 249–256.

M. Durcheva, M. Ivanova, “Cryptography Based on Fuzzy Graphs”, in Intelligent and Fuzzy Systems. Intelligence and Sustainable Future. Proc. of the INFUS 2023 Conf., Vol. 1. Springer. Lecture Notes in Networks and Systems. eBook ISBN 978-3-031-39774-5. Print ISBN 978-3-031-39773-8.

Mariana Durcheva, Some Ideas for Applying Technology in the Discrete Mathematics Course,
AIP Conference Proceedings 2505, 040003 (2022);

M. Durcheva, “TrES: Tropical Encryption Scheme Based on Double Key Exchange”, European Journal of Information Technologies and Computer Science, Volume 2, Issue 4, 2022, ISSN: 2736-5492.

M. Durcheva, P. Tsankov, “Granger causality networks of SnP 500 stocks during normal market conditions and crisis. Normal behavior vs. the Coronavirus crisis”, the 45th conference Applications of Mathematics in Engineering and Economics (AMEE'20), AIP Conference Proceedings 2333, 110014 (2021).

M. Durcheva, P. Tsankov, Teaching graph theory from a STEM perspective: selected examples of interdisciplinary problems. The Electronic Journal of Mathematics and Technology, Vol. 2, Number 1, ISSN 1933-2823, October 15, 2021 (To appear)

M. Durcheva, Semirings as Building Blocks in Cryptography. Cambridge Scholars Publishing, ISBN (10): 1-5275-4170-3, ISBN (13): 978-1-5275-4170-2. (2020).

M. Durcheva, “How to Use CAS (Maple) to Help Students Learn Number Theory”, Mathematics in Computer Science, Springer (2019) 13:69–78.

M. Durcheva, P. Tsankov, “An exploratory analysis of similarities between equity and cryptocurrency series by using graphs and spanning trees”, the 45th conference Applications of Mathematics in Engineering and Economics (AMEE'19), AIP Conference Proceedings 2172, 090004 (2019).

M. Ivanova, M. Durchevа, “Applying Fuzzy Logic and Rule-Based Approach to Facilitate Teachers in eAssessment”, IJCSI International Journal of Computer Science Issues, V. 15, Issue 4, July 2018, ISSN (Print): 1694-0814 | ISSN (Online): 1694-0784.

M. Durcheva, M. Ivanova, “Key Agreement Protocol for Distributed Secure Multicast for eAssessment”, International Journal of Information Technologies&Security, № 1, vol. 10, March 2018. ISSN 1313-8251.

Durcheva, E. Nicolova, “Modeling Мathematical Logic Using MAPLE”, the 44th conference Applications of Mathematics in Engineering and Economics (AMEE'18), AIP Conference Proceedings 2048, 060010 (2018).

M. Durcheva, K. Karailiev, “New public key cryptosystem based on quaternions”, the 43rd conference Applications of Mathematics in Engineering and Economics (AMEE'17), AIP Conference Proceedings 1910, 060014 (2017); .

M. Durcheva, E. Varbanova, “Applications of CAS in teaching and learning of Discrete Mathematics”, Mathematics in computer Science, Springer (2017), ISSN 1661-8270.