https://orcid.org/0000-0002-2698-0807, & https://orcid.org/0000-0003-2969-4280![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
This 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 
where 
denotes 3-total Wiener polarity index, the first Zagreb index and Wiener polarity index, respectively for any tree T.
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