Inverse Problem for Sigma Index
| dc.contributor.author | Gutman, Ivan | |
| dc.contributor.author | Togan, Muge | |
| dc.contributor.author | Yurttas, Aysun | |
| dc.contributor.author | Cevik, Ahmet Sinan | |
| dc.contributor.author | Cangul, Ismail Naci | |
| dc.date.accessioned | 2020-03-26T19:54:24Z | |
| dc.date.available | 2020-03-26T19:54:24Z | |
| dc.date.issued | 2018 | |
| dc.department | Selçuk Üniversitesi | en_US |
| dc.description.abstract | If G is a (molecular) graph and d(v), the degree of its vertex u, then its sigma index is defined as sigma(G) = Sigma(d(u) - d(v))(2), with summation going over all pairs of adjacent vertices. Some basic properties of sigma(G) are established. The inverse problem for topological indices is about the existence of a graph having its index value equal to a given non-negative integer. We study the problem for the sigma index and first show that sigma(G) is an even integer. Then we construct graph classes in which sigma(G) covers all positive even integers. We also study the inverse problem for acyclic, unicyclic, and bicyclic graphs. | en_US |
| dc.description.sponsorship | Uludag UniversityUludag University [F-2015/17] | en_US |
| dc.description.sponsorship | This work was supported by the research fund of Uludag University project no F-2015/17. | en_US |
| dc.identifier.endpage | 508 | en_US |
| dc.identifier.issn | 0340-6253 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 491 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12395/36724 | |
| dc.identifier.volume | 79 | en_US |
| dc.identifier.wos | WOS:000426139900019 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | UNIV KRAGUJEVAC, FAC SCIENCE | en_US |
| dc.relation.ispartof | MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.selcuk | 20240510_oaig | en_US |
| dc.title | Inverse Problem for Sigma Index | en_US |
| dc.type | Article | en_US |
