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Definitions of independence number:
  • noun:   (graph theory) the number of vertices in a maximum independent set of a given graph, often denoted as 𝛼=𝛼(G)
  • noun:   (set theory) the smallest cardinality of a maximal independent family of subsets of the natural numbers, usually denoted by lowercase Fraktur letter i

(Definitions from Wiktionary)

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