English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Recently in 2021, Gutman introduced the Sombor index of a graph, a noveldegree-based topological index. It has been shown that the Sombor indexefficiently models the thermodynamic properties of chemical compounds. Assume$\mathbb{B}_n^k$ (resp. $\mathbb{V}_n^k$) comprises all graphs with order $n$having number of bridges (resp. vertex-connectivity) $k$. Horoldagva & Xu(2021) characterized graphs achieving the maximum Sombor index of graphs in$\mathbb{B}_n^k$. This paper characterizes graphs achieving the minimum Somborindex in $\mathbb{B}_n^k$. Certain auxiliary operation on graphs in$\mathbb{B}_n^k$ are introduced and employed for the characterization.Moreover, we characterize graphs achieving maximum Sombor index in$\mathbb{V}_n^k$. ome open problems, which naturally arise from this work, havebeen proposed at the end.

On the Sombor index of graphs with given connectivity and number of bridges