We found one dictionary that defines the word branchedness:

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1. branchedness: Wiktionary

Definitions from Wiktionary (branchedness) ▸ noun:  The state of being branched ▸ Words similar to branchedness ▸ Usage examples for branchedness ▸ Idioms related to branchedness ▸ Wikipedia articles (New!) ▸ Popular adjectives describing branchedness ▸ Words that often appear near branchedness ▸ Rhymes of branchedness ▸ Invented words related to branchedness