Ediz, SuleymanCiftci, IdrisCancan, MuratFarahani, Mohammad Reza2025-05-102025-05-1020210252-26672169-010310.1080/02522667.2021.1896652https://doi.org/10.1080/02522667.2021.1896652https://hdl.handle.net/20.500.14720/8372Farahani, Mohammad Reza/0000-0003-2969-4280This study investigates the relationship between classical degree and recently defined k-distance degree, ve-degree and ev-degree concepts in graph theory. We firstly define the k-total distance degree notion and investigate its relation with Zagreb and Wiener polarity indices. One of the main relation is W-3*(T) = 1/2 M-1 (T) + W-p (T) where W-3* (T), M-1 (T) and W-p(T) denotes 3-total Wiener polarity index, the first Zagreb index and Wiener polarity index, respectively for any tree T.eninfo:eu-repo/semantics/closedAccessK-Total Distance DegreeWiener Polarity IndexK-Total Wiener Polarity IndexArticle427N/AN/A14691477WOS:000735097700004