18 research outputs found
The chemical trees of order <i>n</i> with Wiener polarity indices <i>n</i> β 3, <i>n</i> β 2 and <i>n</i> β 1, respectively.
<p>The chemical trees of order <i>n</i> with Wiener polarity indices <i>n</i> β 3, <i>n</i> β 2 and <i>n</i> β 1, respectively.</p
A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> β 17, 9<i>k</i> β 20,β¦,3<i>k</i> + 1, respectively.
<p>A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> β 17, 9<i>k</i> β 20,β¦,3<i>k</i> + 1, respectively.</p
A supporting example for the main result (Theorem 1) when <i>n</i> = 9.
<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> β 16, 9<i>k</i> β 19,β¦,3<i>k</i> + 2, respectively.
<p>A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> β 16, 9<i>k</i> β 19,β¦,3<i>k</i> + 2, respectively.</p
The chemical trees <i>T</i> and <i>T</i><sub>1</sub> in Lemma 2.
<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> β 15, 9<i>k</i> β 18,β¦,3<i>k</i>, respectively.
<p>A series of chemical trees of order 3<i>k</i> with Wiener polarity indices 9<i>k</i> β 15, 9<i>k</i> β 18,β¦,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.
<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.
<p>The transformation in the proof of Proposition 25.</p
The transformation in Case 1 of Theorem 18.
<p>The transformation in Case 1 of Theorem 18.</p
The transformation in the proof of Theorem 22.
<p>The transformation in the proof of Theorem 22.</p