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              <text>1-Edge contraction: Total vertex stress and confluence number</text>
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              <text>confluence number; edge contraction; total vertex stress</text>
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              <text>This paper introduces certain relations between 1-edge contraction and the total vertex stress and the confluence number of a graph. A main result states that if a graph G with ?(G) = k ? 2 has an edge vivj and a ?-set CG such that vi, vj ? CG then, ?(G/vivj) = k ? 1. In general, either S(G/ei) ? S(G/ej) or S(G/ej) ? S(G/ei) is true. This observation leads to an investigation into the question: for which edge(s) ei will S(G/ei) = max{S(G/ej): ej ? E(G)} and for which edge(s) will S(G/ej) = min{S(G/e`): e` ? E(G)}?  2024 Azarbaijan Shahid Madani University.</text>
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              <text>Shiny J.; Kok J.</text>
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              <text>Communications in Combinatorics and Optimization, Vol-9, No. 3, pp. 527-538.</text>
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              <text>Azarbaijan Shahid Madani University</text>
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              <text>&lt;a href="https://doi.org/10.22049/CCO.2023.27338.1238" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.22049/CCO.2023.27338.1238&lt;/a&gt;
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              <text>ISSN: 25382128</text>
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              <text>Shiny J., Mathematic Research Center, Mary Matha Arts and Science College, Kerala, Mananthavady, India; Kok J., City of Tshwane, South Africa, CHRIST (Deemed to be a University), Bangalore, India</text>
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