{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:39:11Z","timestamp":1740155951482,"version":"3.37.3"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"DOI":"10.13039\/501100006013","name":"United Arab Emirates University","doi-asserted-by":"publisher","award":["G00002233"],"award-info":[{"award-number":["G00002233"]}],"id":[{"id":"10.13039\/501100006013","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100006013","name":"United Arab Emirates University","doi-asserted-by":"publisher","award":["G00002590"],"award-info":[{"award-number":["G00002590"]}],"id":[{"id":"10.13039\/501100006013","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2018,12]]},"abstract":"<jats:p> Topological descriptors are numerical parameters of a molecular graph which characterize its molecular topology and are usually graph invariant. In QSAR\/QSPR study, physico-chemical properties and topological indices such as Randi\u0107, atom-bond connectivity [Formula: see text] and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. The counting polynomials are those polynomials having at exponent the extent of a property partition and coefficients the multiplicity\/occurrence of the corresponding partition. All of the studied interconnection mesh networks in this paper are motivated by the molecular structure of a Sodium chloride NaCl. <\/jats:p><jats:p> In this paper, Omega, Sadhana and PI polynomials are computed for mesh-derived networks. These polynomials were proposed on the ground of quasi-orthogonal cut edge strips in polycyclic graphs. These polynomials count equidistant and non-equidistant edges in graphs. Moreover, the analytical closed formulas of these polynomials for mesh-derived networks are computed for the first time. <\/jats:p>","DOI":"10.1142\/s1793830918500775","type":"journal-article","created":{"date-parts":[[2018,9,14]],"date-time":"2018-09-14T02:07:32Z","timestamp":1536890852000},"page":"1850077","source":"Crossref","is-referenced-by-count":12,"title":["Computing topological polynomials of mesh-derived networks"],"prefix":"10.1142","volume":"10","author":[{"given":"Muhammad","family":"Imran","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, United Arab Emirates University, P. O. 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