Diminished Sombor Index

doi:10.46793/match95-1.14125

Diminished Sombor Index

2026-01-01

10

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AI

DOI：10.46793/match95-1.14125

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The diminished Sombor index of a graph G is defined as X root d2 u + d2 DSO(G) = v du + dv , where du and dvare the degrees of vertices u and v, and the summation goes over all pairs of adjacent vertices. Although DSO was introduced as early as in 2021, its properties were not studied so far. The present paper is aimed at filling this gap. We obtain bounds on DSO, characterize the extremal graphs, and establish Nordhaus-Gaddum-type relations. In addition, we report results of numerical studies of the structure-dependency of DSO and its chemical applicability.

Diminished Sombor Index

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