Kastamonu University Faculty of Science, Department of Mathematics Lecturer Dr. Mustafa Demir's project titled “Embedding an Edge Painting of Multipartite Complete Graphs into a Hamiltonian Partition of Equal-Partite Complete Graphs” was entitled to receive 60,000 TL support for one year within the scope of TÜBİTAK 1002-A Rapid Support Module.
The research seeks optimal solutions to problems arising in various fields of science, such as logistics, computer networks, urban planning, bioinformatics, circuit design, chip testing, industrial agriculture and autonomous systems using Hamiltonian cycles.
In addition, the project investigates the necessary and sufficient conditions under which an edge colouring of multipartite graphs can be embedded into a Hamiltonian decomposition of equipartition complete graphs using the amalgamation method. In this context, it is aimed that the results obtained on Hamiltonian cycles in graph theory will contribute mathematically to the solution of problems encountered in a wide range of fields, from urban planning to genetic studies.
The research carried out aims to contribute to our country's defence industry with this project since Hamilton cycles have specific applications in unmanned aerial and naval vehicles.
At Kastamonu University, We congratulate the project coordinator, Lecturer Dr Mustafa Demir and wish him continued success in his work.
