Dr. Aljoša Peperko
1. Faculty of Mechanical Engineering, University of Ljubljana, Askerceva 6, SI-1000 Ljubljana, Slovenia
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Academic Career Length
12Years (2015-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
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Journal Article
We obtain new results on independent 2- and 3-rainbow domination numbers of generalized Petersen graphs for certain values of . By suitably adjusting and applying a well established technique of tropical algebra (path algebra) we obtain exact 2-independent rainbow domination numbers of generalized Petersen graphs and thus confirming a conjecture proposed by Shao et al. In addition, we compute exact 3-independent rainbow domination numbers of generalized Petersen graphs . The method used here is developed for rainbow domination and for Petersen graphs. However, with some natural modifications, the method used can be applied to other domination type invariants, and to many other classes of graphs including grids and tori.
1 April 2019 in Experimental Thermal and Fluid Science
Journal Article
JVJure Voglar
Jure Voglar
Matevz ZupancicAljoša PeperkoPBPatrick Birbarah
Patrick BirbarahNMNenad Miljkovic
Nenad Miljkovic
Iztok Golobič15 February 2023 in Central European Journal of Operations Research
Journal Article
By suitably adjusting the tropical algebra technique we compute the rainbow independent domination numbers of several infinite families of graphs including Cartesian products $$C_n \Box P_m$$ and $$C_n \Box C_m$$ for allnand $$m\le 5$$ , and generalized Petersen graphsP(n, 2) for $$n \ge 3$$ .
1 January 2018 in Discrete and Continuous Dynamical Systems
Journal Article
VMVladimir Müller
Vladimir MüllerAljoša PeperkoWe study Lipschitz, positively homogeneous and finite suprema preserving mappings defined on a max-cone of positive elements in a normed vector lattice. We prove that the lower spectral radius of such a mapping is always a minimum value of its approximate point spectrum. We apply this result to show that the spectral mapping theorem holds for the approximate point spectrum of such a mapping. By applying this spectral mapping theorem we obtain new inequalites for the Bonsall cone spectral radius of max-type kernel operators.
6 January 2025 in Physica A: Statistical Mechanics and its Applications
Journal Article
TŠTina Šfiligoj
Tina ŠfiligojAljoša Peperko
Patricija BajecOCOded Cats
Oded CatsAbout Me
Aljoša Peperko, Ph.D. is an associate professor at the Faculty of Mechanical Engineering, University of Ljubljana. He earned his Ph.D. degree in 2008 at the University of Ljubljana, Faculty of Mathematics and Physics. In 2003, he started as a young researcher at the Institute of Mathematics, Physics and Mechanics. In 2009, he started as a teaching assistent at the Faculty of Mechanical Engineering. He is an expert in several areas of mathematics including operator theory, max algebra, spectral theory, geometric means in mathematics, graph theory, and applications of mathematics in physics. His expertise is interdisciplinary, combining theoretical research in matrix theory, operator theory, and algebra with applications in physics and graph theory.