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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: 886; Downloads: 53
URL Link to full text

3.
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: 995; Downloads: 27
URL Link to full text

4.
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: 1065; Downloads: 27
URL Link to full text

5.
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: 938; Downloads: 28
.pdf Full text (265,78 KB)

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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: 1324; Downloads: 63
.pdf Full text (223,45 KB)
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8.
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: 1809; Downloads: 63
.pdf Full text (288,40 KB)
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9.
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: 1476; Downloads: 81
URL Link to full text
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