On the euclidean dimension of a wheel
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Following Erdös, Harary, and Tutte, the euclidean dimension of a graphG is the minimumn such thatG can be embedded in euclideann-spaceR n so that each edge ofG has length 1. We present constructive proofs which give the euclidean dimension of a wheel and of a complete tripartite graph. We also define the generalized wheelWm,n as the join\(\bar K_m + C_n \) and determine the euclidean dimension of all generalized wheels.
KeywordsConstructive Proof Euclidean Dimension Tripartite Graph Complete Tripartite Graph Generalize Wheel
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