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A Collection of Math Competition Problems : Mathematics, undergraduate study programme 2023/2024
Slobodan Filipovski, 2024, other educational material

Abstract: The International Mathematics Competition (IMC) for university students is an annual mathematics competition open to all undergraduate students of mathematics. The IMC is primarily a competition for individuals, although most participating universities select and send one or more teams of students.
Keywords: competition, IMC, mathematics
Published in RUP: 23.07.2024; Views: 1569; Downloads: 40
Full text (2,64 MB)

Exploring the bounds and relationships of chemical graph indices : master's thesis
Arbër Avdullahu, 2023, master's thesis

Keywords: energy of a graph, Randić index, first Zagreb index, IRB index, extremal graph, spectrum, eigenvalue, metaheuristic
Published in RUP: 05.10.2023; Views: 1912; Downloads: 18
Full text (1,02 MB)

A connection between a question of Bermond and Bollobás and Ramanujan graphs
Slobodan Filipovski, Robert Jajcay, 2021, original scientific article

Keywords: cages, Ramanujan graphs, Moore bound
Published in RUP: 18.10.2021; Views: 13173; Downloads: 85
Link to full text

Bounds for the energy of graphs
Slobodan Filipovski, Robert Jajcay, 2021, original scientific article

Keywords: energy of graphs, conjecture, new bounds
Published in RUP: 30.07.2021; Views: 2750; Downloads: 31
Link to full text

Extremal edge-girth-regular graphs
Ajda Zavrtanik Drglin, Slobodan Filipovski, Robert Jajcay, Tom Raiman, 2021, original scientific article

Keywords: regular graph, girth, vertex-transitive graph
Published in RUP: 16.07.2021; Views: 4304; Downloads: 31
Link to full text

An alternate proof of the monotonicity of the number of positive entries in nonnegative matrix powers
Slobodan Filipovski, 2021, original scientific article

Keywords: digraphs, monotonicity, adjacency matrix
Published in RUP: 04.02.2021; Views: 2299; Downloads: 31
Full text (265,78 KB)

A lower bound for the discriminant of polynomials related to Chebyshev polynomials
Slobodan Filipovski, 2021, original scientific article

Keywords: discriminant, Moore graphs, Chebyshev polynomial
Published in RUP: 02.12.2020; Views: 2660; Downloads: 38
Link to full text

On a conjecture of Victor Guo
Slobodan Filipovski, Martin Mačaj, 2020, original scientific article

Keywords: binomial coefficient, greatest common divisor, primes
Published in RUP: 10.11.2020; Views: 2779; Downloads: 66
Full text (223,45 KB)
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Variations on McClelland's bound for graph energy
Ivan Gutman, Slobodan Filipovski, Robert Jajcay, 2020, original scientific article

Keywords: energy (of graph), spectrum (of graph), McClelland bound
Published in RUP: 09.10.2020; Views: 4297; Downloads: 65
Full text (288,40 KB)
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10.

Improved cauchy-schwarz inequality and its applications
Slobodan Filipovski, 2019, original scientific article

Keywords: triangle inequality, arithmetic mean, Cauchy-Schwarz inequality
Published in RUP: 18.03.2020; Views: 3378; Downloads: 96
Link to full text
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