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http://skymetrix.xyz/?book=B086BJZPTC Uriel Feige. Weizmann Institute. Joint work with . Roee David. 1. 3-. c. o. l. o. r. i. n. g. 2. 3-. c. o. l. o. r. i. n. g. 3. NP-hard problems. 3-coloring is NP-hard:. f. or every polynomial time 3-coloring algorithm, there are (worst case) 3-colorable graphs on which it fails. .