Slobodan Filipovski

collaborators

4 papers

math.CO2024

A partial proof of the Brouwer's conjecture

Slobodan Filipovski

Let $G$ be a simple graph with $n$ vertices and $m$ edges and let $k$ be a natural number such that $k \leq n .$ Brouwer conjectured that the sum of the $k$ largest Laplacian eigenva…

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.CO2022

On certain topological indices of graphs

Arber Avdullahu, Slobodan Filipovski

In this paper we give new bounds for a several vertex-based and edge-based topological indices of graphs: Albertson irregularity index, degree variance index, Mostar and the first…

A partial proof of the Brouwer's conjecture

Some results on σt​-irregularity

Extremizing antiregular graphs by modifying total σ-irregularity

On certain topological indices of graphs

Some results on $σ_{t}$ -irregularity

Extremizing antiregular graphs by modifying total $σ$ -irregularity