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- W4214757907 abstract "For a graph <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <mi>G</mi> </math> , its sum-connectivity index is denoted by <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mi>χ</mi> <mfenced open=( close=) separators=|> <mrow> <mi>G</mi> </mrow> </mfenced> </math> and is defined as the sum of the numbers <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <msup> <mfenced open=( close=) separators=|> <mrow> <mi>d</mi> <mfenced open=( close=) separators=|> <mi>u</mi> </mfenced> <mo>+</mo> <mi>d</mi> <mfenced open=( close=) separators=|> <mi>v</mi> </mfenced> </mrow> </mfenced> <mrow> <mo>−</mo> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msup> </math> over all edges <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <mi>u</mi> <mi>v</mi> </math> of <math xmlns=http://www.w3.org/1998/Math/MathML id=M5> <mi>G</mi> </math> , where <math xmlns=http://www.w3.org/1998/Math/MathML id=M6> <mi>d</mi> <mfenced open=( close=) separators=|> <mrow> <mi>w</mi> </mrow> </mfenced> </math> denotes the degree of a vertex <math xmlns=http://www.w3.org/1998/Math/MathML id=M7> <mi>w</mi> <mo>∈</mo> <mi>V</mi> <mfenced open=( close=) separators=|> <mrow> <mi>G</mi> </mrow> </mfenced> </math> . In this study, we find a sharp lower bound on the sum-connectivity index of graphs having minimum degree of at least 3 under certain constraints and characterize the corresponding extremal graphs." @default.
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- W4214757907 date "2022-02-04" @default.
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- W4214757907 title "On the Graphs of Minimum Degree At Least 3 Having Minimum Sum-Connectivity Index" @default.
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- W4214757907 doi "https://doi.org/10.1155/2022/1203303" @default.
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