Maximum total irregularity index of some families of graph with maximum degree n − 1

DOI10.1142/S1793557122500693zbMath1487.05069MaRDI QIDQ5865968

Shamaila Yousaf, Akhlaq Ahmad Bhatti

Publication date: 10 June 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

total irregularity index\( \mathrm{HEX}_n\) (hexacyclic graphs)\( \mathrm{PNT}_n\) (pentacyclic graphs)\( \mathrm{TET}_n\) (tetracyclic graphs)\( B_n\) (bicyclic graphs)\( T_n\) (tricyclic graphs)\( U_n\) (unicyclic graphs)

Mathematics Subject Classification ID

Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Cites Work

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• Ordering of \(c\)-cyclic graphs with respect to total irregularity
• On the irregularity of \(\pi \)-permutation graphs, Fibonacci cubes, and trees
• The maximal total irregularity of bicyclic graphs
• Comparing the irregularity and the total irregularity of graphs
• The minimal total irregularity of some classes of graphs
• The total irregularity of a graph
• Two irregularity measures possessing high discriminatory ability

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