On unicyclic graphs with a given girth and their minimum symmetric division \(\deg\) index

DOI10.47443/dml.2024.123MaRDI QIDQ6633245

Adel A. Attiya, Selvaraj Balachandran, Palaniyappan Nithya, Akbar Ali, Suresh Elumalai, Zahid Raza

Publication date: 5 November 2024

Published in: DML. Discrete Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

topological indexunicyclic graphgirth of a graphsymmetric division \(\deg\) index

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

• New results on symmetric division deg index
• On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number
• Bounds of the Symmetric Division Deg Index for Trees and Unicyclic Graphs with a Perfect Matching
• Bounds for symmetric division deg index of graphs
• Sharp bounds on the symmetric division deg index of graphs and line graphs
• Symmetric Division Deg Index: Extremal Results and Bounds
• Bond incident degree indices of connected \((n, m)\)-graphs with fixed maximum degree
• Proof of a conjecture on symmetric division deg index of graphs
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