<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2021-12-2-142-150</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-351</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>МАТЕМАТИКА</subject></subj-group></article-categories><title-group><article-title>Chemical applicability of Gourava and hyper-Gourava indices</article-title><trans-title-group xml:lang="ru"><trans-title>Химическая применимость индексов Гуравы и гипер-Гуравы</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Basavanagoud</surname><given-names>B.</given-names></name><name name-style="western" xml:lang="en"><surname>Basavanagoud</surname><given-names>B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Department of Mathematics</p><p>Dharwad – 580 003, Karnataka</p></bio><bio xml:lang="en"><p>Department of Mathematics</p><p>Dharwad – 580 003, Karnataka</p></bio><email xlink:type="simple">b.basavanagoud@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Policepatil</surname><given-names>Shruti</given-names></name><name name-style="western" xml:lang="en"><surname>Policepatil</surname><given-names>Shruti</given-names></name></name-alternatives><bio xml:lang="ru"><p>Department of Mathematics</p><p>Dharwad – 580 003, Karnataka</p></bio><bio xml:lang="en"><p>Department of Mathematics</p><p>Dharwad – 580 003, Karnataka</p></bio><email xlink:type="simple">shrutipatil300@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Karnatak University</institution></aff><aff xml:lang="en"><institution>Karnatak University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>28</day><month>07</month><year>2025</year></pub-date><volume>12</volume><issue>2</issue><fpage>142</fpage><lpage>151</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Basavanagoud B., Policepatil S., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Basavanagoud B., Policepatil S.</copyright-holder><copyright-holder xml:lang="en">Basavanagoud B., Policepatil S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/351">https://nanojournal.ifmo.ru/jour/article/view/351</self-uri><abstract><p>Topological indices are extensively used as molecular descriptors in building Quantitative Structure-Activity Relationship (QSAR), Quantitative Structure-Property Relationship (QSPR) and Quantitative Structure-Toxicity Relationship (QSTR). In this paper, Gourava and hyper-Gourava in­dices are tested with physico-chemical properties of octane isomers such as entropy, acentric factor and DHVAP using linear regression models. The first Gourava index highly correlates with entropy (coefficient of correlation 0.9644924) and the second Gourava index highly correlates with acentric factor (coefficient of correlation 0.962243). Further, Gourava and hyper-Gourava indices are obtained for the line graph of subdivision graph of 2D-lattice, nanotube and nanotorus of TU C4C8 [p, q].</p></abstract><trans-abstract xml:lang="ru"><p>Топологические индексы широко используются в качестве молекулярных дескрипторов при построении количественной зависимости структура-активность (QSAR), количественной зависимости структура-свойство (QSPR) и количественной зависимости структура-токсичность (QSTR). В этой статье индексы Гуравы и гипер-Гуравы тестируются с помощью физико-химических свойств изомеров октана, таких как энтропия, ацентрический фактор и DHVAP, с использованием моделей линейной регрессии. Первый индекс Гуравы сильно коррелирует с энтропией (коэффициент корреляции 0,9644924), а второй индекс Гуравы сильно коррелирует с ацентрическим фактором (коэффициент корреляции 0,962243). Далее индексы Гуравы и гипер-Гуравы получаются для линейного графа, графа подразделений 2D-решетки, нанотрубки и нанотора TU C4C8[р, q].</p></trans-abstract><kwd-group xml:lang="ru"><kwd>топологические индексы</kwd><kwd>индексы Гуравы</kwd><kwd>индексы гипер-Гуравы</kwd><kwd>2D-решетка TU C4C8[p</kwd><kwd>q]</kwd><kwd>TU C4C8[p</kwd><kwd>q] нанотрубка</kwd><kwd>TU C4C8[p</kwd><kwd>q] нанотор</kwd></kwd-group><kwd-group xml:lang="en"><kwd>topological indices</kwd><kwd>Gourava indices</kwd><kwd>hyper-Gourava indices</kwd><kwd>2D-lattice of TU C4C8 [p</kwd><kwd>q]</kwd><kwd>TU C4C8 [p</kwd><kwd>q] nanotube</kwd><kwd>TU C4C8 [p</kwd><kwd>q] nanotorus</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Harary F. Graph Theory, Addison-Wesely, Reading Mass, 1969.</mixed-citation><mixed-citation xml:lang="en">Harary F. Graph Theory, Addison-Wesely, Reading Mass, 1969.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Kulli V.R. College Graph Theory, Vishwa Int. Publ., Gulbarga, India, 2012.</mixed-citation><mixed-citation xml:lang="en">Kulli V.R. College Graph Theory, Vishwa Int. Publ., Gulbarga, India, 2012.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Gutman I., Trinajstic N. Graph theory and molecular orbitals, Total ´ π-electron energy of alternant hydrocarbons. Chem. Phys. Lett., 1972, 17 (4), P. 535–538.</mixed-citation><mixed-citation xml:lang="en">Gutman I., Trinajstic N. Graph theory and molecular orbitals, Total ´ π-electron energy of alternant hydrocarbons. Chem. Phys. Lett., 1972, 17 (4), P. 535–538.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Gutman I., Rusˇciˇ c B., Trinajsti ´ c N., Wilcox C.F. Graph theory and molecular orbitals. XII. Acyclic polyenes. ´ J. Chem. Phys., 1975, 62, P. 3399–3405.</mixed-citation><mixed-citation xml:lang="en">Gutman I., Rusˇciˇ c B., Trinajsti ´ c N., Wilcox C.F. Graph theory and molecular orbitals. XII. Acyclic polyenes. ´ J. Chem. Phys., 1975, 62, P. 3399–3405.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Furtula B., Gutman I. A forgotten topological index. J. Math. Chem., 2015, 53 (4), P. 1184–1190.</mixed-citation><mixed-citation xml:lang="en">Furtula B., Gutman I. A forgotten topological index. J. Math. Chem., 2015, 53 (4), P. 1184–1190.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Kulli V.R. The Gourava indices and coindices of graphs. Annals of Pure and Applied Mathematics, 2017, 14 (1), P. 33–38.</mixed-citation><mixed-citation xml:lang="en">Kulli V.R. The Gourava indices and coindices of graphs. Annals of Pure and Applied Mathematics, 2017, 14 (1), P. 33–38.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Kulli V.R. On hyper-Gourava indices and coindices. Int. Journal of Mathematical Archieve, 2017, 8 (12), P. 116–120.</mixed-citation><mixed-citation xml:lang="en">Kulli V.R. On hyper-Gourava indices and coindices. Int. Journal of Mathematical Archieve, 2017, 8 (12), P. 116–120.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Mondal S., Bhosale A., De N., Pal A. Topological properties of some nanostructures. Nanosystems: Physics, Chemistry, Mathematics, 2020, 11 (1), P. 14–24.</mixed-citation><mixed-citation xml:lang="en">Mondal S., Bhosale A., De N., Pal A. Topological properties of some nanostructures. Nanosystems: Physics, Chemistry, Mathematics, 2020, 11 (1), P. 14–24.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Hosamani S.M. Computing Sanskruti index of certain nanostructures. J. Appl. Math. Comput., 2017, 54, P. 425–433.</mixed-citation><mixed-citation xml:lang="en">Hosamani S.M. Computing Sanskruti index of certain nanostructures. J. Appl. Math. Comput., 2017, 54, P. 425–433.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Nadeem M.F., Zafar S., Zahid Z., On certain topological indices of the line graph of subdivision graphs. Appl. Math. Comput., 2015, 271, P. 790–794.</mixed-citation><mixed-citation xml:lang="en">Nadeem M.F., Zafar S., Zahid Z., On certain topological indices of the line graph of subdivision graphs. Appl. Math. Comput., 2015, 271, P. 790–794.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Nadeem M.F., Zafar S., Zahid Z. On topological properties of the line graph of subdivision graphs of certain nanostructures. Appl. Math. Comput., 2016, 273, P. 125–130.</mixed-citation><mixed-citation xml:lang="en">Nadeem M.F., Zafar S., Zahid Z. On topological properties of the line graph of subdivision graphs of certain nanostructures. Appl. Math. Comput., 2016, 273, P. 125–130.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">R Core Team. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria , 2016, URL: https://www.R-project.org/.</mixed-citation><mixed-citation xml:lang="en">R Core Team. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria , 2016, URL: https://www.R-project.org/.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Basavanagoud B., Jakkannavar P. Kulli-Basava indices of graphs. Int. J. Appl. Eng. Res., 2019, 14 (1), P. 325–342.</mixed-citation><mixed-citation xml:lang="en">Basavanagoud B., Jakkannavar P. Kulli-Basava indices of graphs. Int. J. Appl. Eng. Res., 2019, 14 (1), P. 325–342.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Basavanagoud B., Barangi A.P., Hosamani S.M. First neighbourhood Zagreb index of some nanostructures. Proc. Inst. Appl. Math., 2018, 7 (2), P. 178–193.</mixed-citation><mixed-citation xml:lang="en">Basavanagoud B., Barangi A.P., Hosamani S.M. First neighbourhood Zagreb index of some nanostructures. Proc. Inst. Appl. Math., 2018, 7 (2), P. 178–193.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Basavanagoud B., Desai V., Patil S. (β, α) connectivity index of graphs. Appl. Math. Nonlinear Sci., 2017, 2 (1), P. 21–30.</mixed-citation><mixed-citation xml:lang="en">Basavanagoud B., Desai V., Patil S. (β, α) connectivity index of graphs. Appl. Math. Nonlinear Sci., 2017, 2 (1), P. 21–30.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
