{"id":43756,"date":"2024-12-09T08:12:36","date_gmt":"2024-12-09T07:12:36","guid":{"rendered":"https:\/\/www.mathos.unios.hr\/novi-hrzz-projekt-na-fakultetu-primijenjene-matematike-i-informatike\/"},"modified":"2024-12-24T09:41:29","modified_gmt":"2024-12-24T08:41:29","slug":"novi-hrzz-projekt-na-fakultetu-primijenjene-matematike-i-informatike","status":"publish","type":"post","link":"https:\/\/www.mathos.unios.hr\/en\/novi-hrzz-projekt-na-fakultetu-primijenjene-matematike-i-informatike\/","title":{"rendered":"New HRZZ Project at the School of Applied Mathematics and Computer Science"},"content":{"rendered":"\n

On December 16, 2024, at the School of Applied Mathematics and Informatics, University of Josip Juraj Strossmayer in Osijek, a new research project titled Metric Properties of Graphs (MetGraph)<\/strong> will commence. The project is funded by the Croatian Science Foundation and will run from December 2024 to December 2027.<\/p>\n\n\n\n

The project leader is Prof. Dr. Snje\u017eana Majstorovi\u0107 Ergoti\u0107, supported by a team of distinguished domestic and international scientists: Prof. Dr. Tomislav Do\u0161li\u0107 and Dr. Luka Podrug from the University of Zagreb, Prof. Dr. Riste \u0160krekovski from the University of Ljubljana (Slovenia), Prof. Dr. Dragan Stevanovi\u0107 from Abdullah Al Salem University (Kuwait), Prof. Dr. Jelena Sedlar from the University of Split, Dr. Tobias Hofmann from the Technical University of Berlin (Germany), and PhD student Kurt Klement Gottwald from Chemnitz University of Technology (Germany). During the project’s duration, one senior assistant (postdoctoral researcher) and one assistant will be hired.<\/p>\n\n\n\n

The project focuses on exploring various problems related to metrics on graphs, which have broad applications in analyzing complex networks, ranging from computer and technological networks to biological, social, and climate systems. The main research areas include the metric properties of graphs and digraphs, covering problems related to vertex distances (graph metrics), their generalizations, extensions, and applications. The project aims to solve numerous open questions related to shortest path distance, resistance distance, Steiner distance, and flow distance, as well as analyzing several types of metric dimensions of graphs. Special attention will be given to studying recently defined families of graphs, such as metallic, Horadam, and Horadam-Lucas cubes.\r\n\r\nFurthermore, the project includes research into hypotheses from spectral graph theory and the development of heuristic algorithms for calculating certain graph invariants based on graph neural networks (GNNs).\r\n<\/p>\n\n\n\n

The project aims to develop a coherent, internationally recognized research group that will contribute to advancing scientific knowledge and international collaboration. Additionally, hiring young researchers (an assistant and a postdoctoral researcher) will provide opportunities for educating a new generation of scientists ready to tackle the most challenging research problems.<\/p>\n\n\n\n

It should be noted that the MetGraph project stands out as one of the 415 projects submitted for the IP-2024-05 competition. It was approved alongside 42 other projects in the fields of natural and technical sciences, and it is one of only two approved projects in the field of mathematics.<\/p>\n\n\n\n

The success of our scientist, Prof. Dr. Snje\u017eana Majstorovi\u0107 Ergoti\u0107, is even more significant as, in addition to leading the MetGraph project, she recently became a collaborator on two bilateral scientific research projects scheduled for implementation from 2024 to 2026:<\/p>\n\n\n\n