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A „Kézilabda az iskolában” program értékelése egy (lehetséges) kutatás tükrében [PDF]

open access: yes
Boda, Eszter   +4 more
core  

Sombor Index of Hypergraphs

Match - Communications in Mathematical and in Computer Chemistry, 2023
Recently, the Sombor index of a graph was defined, and a large amount of study was conducted quite quickly. It has been proposed to generalise the idea of vertex degree-based topological indices from graphs to hypergraphs. We give the bounds for the Sombor index of hypergraphs and bipartite hypergraphs using the total number of vertices in the graph ...
Shetty, Shashwath S., Bhat, K. Arathi
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New bounds on Sombor index

2022
Summary: The Sombor index of the graph \(G\) is a degree based topological index, defined as \(\mathrm{SO} = \sum_{uv \in \mathbf{E}(G)} \sqrt{d_u^2+d_v^2}\), where \(d_u\) is the degree of the vertex \(u\), and \(\mathbf{E}(G)\) is the edge set of \(G\).
Gutman, Ivan   +3 more
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On Sombor Index and Graph Energy

MATCH Communications in Mathematical and in Computer Chemistry, 2022
Summary: Sombor index is a recently introduced degree based graph topological index. For a graph \(G\), it is defined as \[ SO(G)=\sum\limits_{uv\in E(G)}\sqrt{d_u^2+d_v^2}, \] where \(d_u\) denotes the degree of the vertex \(u\) in \(G\). Within a short period of time after introduction of this index by \textit{I. Gutman} [MATCH Commun. Math.
Reja, Mohammed Selim   +1 more
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The k-Sombor Index of Trees

Asia-Pacific Journal of Operational Research, 2023
For a positive real number [Formula: see text], the [Formula: see text]-Sombor index of a graph [Formula: see text], introduced by Réti et al, is defined as [Formula: see text] where [Formula: see text] denotes the degree of the vertex [Formula: see text] in [Formula: see text].
Wang, Fangxia, Wu, Baoyindureng
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