Milan Basic

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math.CO2026

Further results on the lower bound on reduced Zagreb index of trees

Milan Bašić, Aleksandar Ilić

For a graph $G$ , the general reduced second Zagreb index is defined as $GR M_{λ} (G) = uv \in E \sum (d e g (u) + λ) (d e g (v) + λ),$ where $λ$ is an arbitrary real number and $d e g (v)$ …

math.CO2026

Trees with maximum $σ$ -irregularity under a prescribed maximum degree 6

Milan Bašić

The sigma-irregularity index $σ (G) = \sum_{uv \in E (G)} (d_{G} (u) - d_{G} (v))^{2}$ measures the total degree imbalance along the edges of a graph. We study extremal problems for $σ (T)$ w…

Further results on the lower bound on reduced Zagreb index of trees

Trees with maximum σ-irregularity under a prescribed maximum degree 6

Trees with maximum $σ$ -irregularity under a prescribed maximum degree 6