M. Knor

activity

20082026

most citedOn the difference between the Szeged and Wiener index

13 citations · 21 across the 20 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

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.CO2024

Fault tolerance of metric basis can be expensive

Martin Knor, Jelena Sedlar, Riste Škrekovski

A set of vertices S is a resolving set of a graph G; if for every pair of vertices x and y in G, there exists a vertex s in S such that x and y differ in distance to s. A smallest…

Some results on σt​-irregularity

Extremizing antiregular graphs by modifying total σ-irregularity

Fault tolerance of metric basis can be expensive

Some results on $σ_{t}$ -irregularity

Extremizing antiregular graphs by modifying total $σ$ -irregularity