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Romantic partnerships and the dispersion of social ties

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𝐺𝑒

𝐺𝑒 𝐢𝑒𝑣

𝐢𝑒𝑣

𝑑𝑖𝑠𝑝 𝑒, 𝑣 = 𝑑𝑣(𝑠, 𝑑)

𝑠,π‘‘βˆˆπΆπ‘’π‘£

𝑑𝑣 𝐢𝑒𝑣

𝑑𝑣(𝑠, 𝑑) = 1, 𝑠 𝑒 𝑑 π‘›π‘œπ‘› π‘ π‘œπ‘›π‘œ π‘‘π‘–π‘Ÿπ‘’π‘‘π‘‘π‘Žπ‘šπ‘’π‘›π‘‘π‘’ π‘π‘œπ‘™π‘™π‘’π‘”π‘Žπ‘‘π‘–

𝑒 π‘›π‘œπ‘› β„Žπ‘Žπ‘›π‘›π‘œ 𝑣𝑖𝑐𝑖𝑛𝑖 𝑖𝑛 π‘π‘œπ‘šπ‘’π‘›π‘’ 𝑖𝑛 𝐺𝑒 π‘œπ‘™π‘‘π‘Ÿπ‘’ π‘Žπ‘‘ 𝑒 𝑒 𝑣 0, π‘Žπ‘™π‘‘π‘Ÿπ‘–π‘šπ‘’π‘›π‘‘π‘–

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𝑑𝑖𝑠𝑝 𝑒, 𝑣 π‘’π‘šπ‘ 𝑒, 𝑣

𝑑𝑖𝑠𝑝 𝑒, 𝑣

π‘’π‘šπ‘ 𝑒, 𝑣

β€’

π‘›π‘œπ‘Ÿπ‘š 𝑒, 𝑣 = 𝑑𝑖𝑠𝑝 𝑒, 𝑣 π‘’π‘šπ‘ 𝑒, 𝑣

β€’ π‘›π‘œπ‘Ÿπ‘š 𝑒, 𝑣

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𝑑𝑖𝑠𝑝 𝑒, 𝑣 + 𝑏 𝛼

π‘’π‘šπ‘ 𝑒, 𝑣 + 𝑐

𝛼 = 0.61, 𝑏 = 0, 𝑐 = 5

𝐢𝑒𝑣

π‘₯𝑣 = 1

π‘₯𝑣

π‘₯𝑣 = π‘₯𝑀

2 + 2 𝑑𝑣(𝑠, 𝑑)π‘₯𝑠𝑠,π‘‘βˆˆπΆπ‘’π‘£π‘₯π‘‘π‘€βˆˆπΆπ‘’π‘£

π‘’π‘šπ‘(𝑒, 𝑣)

π‘₯𝑣

π‘Ÿπ‘’π‘(𝑒, 𝑣)

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β€’

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β€’

β€’

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β€’

β€’

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