DC Field | Value | Language |
---|---|---|
dc.contributor.author | Dimitrov, Darko | en_US |
dc.contributor.author | Stevanović, Dragan | en_US |
dc.date.accessioned | 2022-12-26T12:26:36Z | - |
dc.date.available | 2022-12-26T12:26:36Z | - |
dc.date.issued | 2023-03-15 | - |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5002 | - |
dc.description.abstract | The σ-irregularity index is a natural variant of the well-established Albertson irregularity index. Here, we introduce an irregularity measure based on the σ-irregularity, which is a graph invariant with respect to a given degree sequence. We define it as [Formula presented], where dG(v) is the degree of a vertex v of G, and named it the total σ-irregularity. We characterize irregular graphs with minimal σt-irregularity. In addition, we consider the so-called inverse problem for the Albertson irregularity index, the total irregularity, and the σt-irregularity. For those irregularity measures, we study the problem for general graphs, trees, and c-cyclic graphs. | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Applied Mathematics and Computation | en_US |
dc.subject | Inverse irregularity problem | Irregularity (of graph) | Irregularity measure | en_US |
dc.title | On the σt-irregularity and the inverse irregularity problem | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.amc.2022.127709 | - |
dc.identifier.scopus | 2-s2.0-85142206662 | - |
dc.contributor.affiliation | Mathematics | en_US |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | en_US |
dc.relation.firstpage | 127709 | - |
dc.relation.volume | 441 | - |
dc.description.rank | ~M21a | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0000-0003-2908-305X | - |
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