Slobodan Filipovski

collaborators

3 papers

math.CO2024

Some results on $σ_{t}$ -irregularity

Slobodan Filipovski, Darko Dimitrov, Martin Knor +1

The $σ_{t}$ -irregularity (or sigma total index) is a graph invariant which is defined as $σ_{t} (G) = \sum_{{u, v} \subseteq V (G)} (d (u) - d (v))^{2},$ where $d (z)$ denotes the degree of…

math.CO2024

Extremizing antiregular graphs by modifying total $σ$ -irregularity

Martin Knor, Riste Škrekovski, Slobodan Filipovski +1

The total $σ$ -irregularity is given by $σ_{t} (G) = \sum_{{u, v} \subseteq V (G)} (d_{G} (u) - d_{G} (v))^{2},$ where $d_{G} (z)$ indicates the degree of a vertex $z$ within the gra…

math.CO2016

On bipartite cages of excess 4

Slobodan Filipovski

The Moore bound $M (k, g)$ is a lower bound on the order of $k$ -regular graphs of girth $g$ (denoted $(k, g)$ -graphs). The excess $e$ of a $(k, g)$ -graph of order $n$ is the difference…

Some results on σt​-irregularity

Extremizing antiregular graphs by modifying total σ-irregularity

On bipartite cages of excess 4

Some results on $σ_{t}$ -irregularity

Extremizing antiregular graphs by modifying total $σ$ -irregularity