On Wiener Index of Unit Graph Associated with a Commutative Ring
| Autor: | T. Asir, V. Rabikka, Huadong Su |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Algebra and Number Theory Computer Science::Information Retrieval Applied Mathematics ComputingMethodologies_DOCUMENTANDTEXTPROCESSING Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::General Literature Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) ComputingMilieux_MISCELLANEOUS MathematicsofComputing_DISCRETEMATHEMATICS |
| Zdroj: | Algebra Colloquium. 29:221-230 |
| ISSN: | 0219-1733 1005-3867 |
| Popis: | Let [Formula: see text] be a ring with non-zero identity. The unit graph of [Formula: see text], denoted by [Formula: see text], is an undirected graph with all the elements of [Formula: see text] as vertices and where distinct vertices [Formula: see text], [Formula: see text] are adjacent if and only if [Formula: see text] is a unit of [Formula: see text]. In this paper, we investigate the Wiener index and hyper-Wiener index of [Formula: see text] and explicitly determine their values. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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