Retracted: Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs by Journal of Chemistry

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Linear model based on neighborhood ABS index for graph energy in benzenoid hydrocarbons and maximum index cactus graphs by Zheng-Qing Chu, Mohammed Yasin H, M. Suresh, Micheal Arockiaraj

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Global Dominator Chromatic Number of Certain Graphs by Hadi Nouri Samani, Saeid Alikhani, Nima Ghanbari

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A note on the augmented Zagreb index of cacti with fixed number of vertices and cycles by Akbar Ali, Akhlaq A. Bhatti

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On Sombor index and graph energy of some chemically important graphs by Md Selim Reja, Sk. Md. Abu Nayeem

“…In this article, we improve the relation between the Sombor index and graph energy and derive the relation between them for unicyclic, bicyclic and tricyclic graphs, trees, triangular chain, square cactus chain and hexagonal cactus chain graphs. …”
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Topological Descriptors on Some Families of Graphs by Iftikhar Ahmad, Maqbool Ahmad Chaudhry, Muhammad Hussain, Tariq Mahmood

“…A cactus graph is a connected graph in which no edge lies in more than one cycle. …”
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The nullity of the net Laplacian matrix of a signed graph by Zhuang Xiong

“…We completely determine the connected signed graphs with nullity \(|V(\Gamma)| - 1\). Additionally, we characterize the signed cactus graphs with nullity \(1\) or \(\beta(\Gamma) + 1\). …”
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More results on the signed double Roman domination number of graphs by Seyed Mahmoud Sheikholeslami, Lutz Volkmann

“…It is conjectured that the signed double Roman domination number of a nontrivial graph G is bounded above by its order. In this paper we prove this conjecture for cactus graphs, and we present some new bounds on [Formula: see text]. …”
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Chain Hexagonal Cacti with the Extremal Eccentric Distance Sum by Hui Qu, Guihai Yu

“…Eccentric distance sum (EDS), which can predict biological and physical properties, is a topological index based on the eccentricity of a graph. In this paper we characterize the chain hexagonal cactus with the minimal and the maximal eccentric distance sum among all chain hexagonal cacti of length n, respectively. …”
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