2. (Error-correcting codes x planarity.) Let n be a positive integer. Define the graph H, as follows: • Vertices: the set of all length-n strings over the alphabet (0, 1, 2}. • Edges: draw an edge from string s to string t if the Hamming distance dr(s, t) is 1. (a) Draw H2 (no justification needed.)

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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2. (Error-correcting codes x planarity.) Let n be a positive integer. Define the graph H, as follows:
• Vertices: the set of all length-n strings over the alphabet {0, 1, 2}.
• Edges: draw an edge from string s to string t if the Hamming distance dy(s, t) is 1.
(a) Draw H2 (no justification needed.)
(b) Prove that for every n 2 3, H, is nonplanar.
Transcribed Image Text:2. (Error-correcting codes x planarity.) Let n be a positive integer. Define the graph H, as follows: • Vertices: the set of all length-n strings over the alphabet {0, 1, 2}. • Edges: draw an edge from string s to string t if the Hamming distance dy(s, t) is 1. (a) Draw H2 (no justification needed.) (b) Prove that for every n 2 3, H, is nonplanar.
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