18 research outputs found

    The chemical trees of order <i>n</i> with Wiener polarity indices <i>n</i> βˆ’ 3, <i>n</i> βˆ’ 2 and <i>n</i> βˆ’ 1, respectively.

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    <p>The chemical trees of order <i>n</i> with Wiener polarity indices <i>n</i> βˆ’ 3, <i>n</i> βˆ’ 2 and <i>n</i> βˆ’ 1, respectively.</p

    A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> βˆ’ 17, 9<i>k</i> βˆ’ 20,…,3<i>k</i> + 1, respectively.

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    <p>A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> βˆ’ 17, 9<i>k</i> βˆ’ 20,…,3<i>k</i> + 1, respectively.</p

    A supporting example for the main result (Theorem 1) when <i>n</i> = 9.

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    <p>A supporting example for the main result (Theorem 1) when <i>n</i> = 9.</p

    A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> βˆ’ 16, 9<i>k</i> βˆ’ 19,…,3<i>k</i> + 2, respectively.

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    <p>A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> βˆ’ 16, 9<i>k</i> βˆ’ 19,…,3<i>k</i> + 2, respectively.</p

    The chemical trees <i>T</i> and <i>T</i><sub>1</sub> in Lemma 2.

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    <p>(The edges which are represented by dashed lines may or may not occur in the tree).</p

    A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> βˆ’ 15, 9<i>k</i> βˆ’ 18,…,3<i>k</i>, respectively.

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    <p>A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> βˆ’ 15, 9<i>k</i> βˆ’ 18,…,3<i>k</i>, respectively.</p

    The chemical trees <i>T</i><sub>1</sub>, <i>T</i><sub>2</sub> and <i>T</i><sub>3</sub> in the proof of Case 1 in Theorem 1.

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    <p>The chemical trees <i>T</i><sub>1</sub>, <i>T</i><sub>2</sub> and <i>T</i><sub>3</sub> in the proof of Case 1 in Theorem 1.</p

    The transformation in the proof of Proposition 25.

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    <p>The transformation in the proof of Proposition 25.</p

    The transformation in Case 1 of Theorem 18.

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    <p>The transformation in Case 1 of Theorem 18.</p

    The transformation in the proof of Theorem 22.

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    <p>The transformation in the proof of Theorem 22.</p
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