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2S3 transformation for Dyadic fractions in the interval (0, 1) | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 10، دوره 8، شماره 2، شهریور 2023، صفحه 411-421 اصل مقاله (422.19 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2022.27502.1300 | ||
| نویسندگان | ||
| K.G. Sreekumar* 1؛ Manilal K2؛ John. K. Rajan2 | ||
| 1Department of Mathematics, Kariavattom Campus, University of Kerala, India | ||
| 2Department of Mathematics, University College, University of Kerala, Thiruvananthapuram, India | ||
| چکیده | ||
| The $2S3$ transformation, which was first described for positive integers, has been defined for dyadic rational numbers in the open interval $(0,1)$ in this study. The set of dyadic rational numbers is a Prüfer 2-group. For the dyadic $2S3$ transformation $T_{ds}(x)$, the restricted multiplicative and additive properties have been established. Graph parameters are used to generate more combinatorial outcomes for these properties. The relationship between the SM dyadic sum graph's automorphism group and the symmetric group has been investigated. | ||
| کلیدواژه‌ها | ||
| SM sum graphs؛ Bipartite Kneser type-1 graphs؛ Dyadic fractions؛ Dyadic 2S3 transformation function | ||
| مراجع | ||
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