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Explore the intricate theory of weights in rooted k-trees in this hour-long lecture presented by Sheldy Ombrosi from Universidad Nacional del Sur. Delve into the mathematical concepts and principles underlying this specialized topic, gaining insights into the structure and properties of rooted k-trees. Examine the role of weights in these tree structures and their implications for various mathematical applications. Enhance your understanding of advanced graph theory and its relevance to computer science, combinatorics, and related fields.