EXPLORING 3-TOTAL SUPER SUM CORDIAL LABELING FOR -UNIFORM HYPERTREE

Abstract

The idea of 3-total super sum cordial labeling for k-uniform hypertrees is presented and studied in this paper. We provide a detailed characterization of such labeling and demonstrate that 6-uniform hypertrees admit 3-total super sum cordial labeling for arbitrary numbers of hyperedges. The proposed labeling framework is supported through rigorous proofs and illustrative constructions, extending the known boundaries of cordial labeling in hypergraph theory.