Social Graph Ranker

Canonical weighted graph-ranking layer for network-aware outreach.

Use this when the user needs to:

• rank existing mutuals or connections by intro value
• map warm paths to a target list
• measure bridge value across first- and second-order connections
• decide which targets deserve warm intros versus direct cold outreach
• understand the graph math independently from lead-intelligence or connections-optimizer

When To Use This Standalone

Choose this skill when the user primarily wants the ranking engine:

• "who in my network is best positioned to introduce me?"
• "rank my mutuals by who can get me to these people"
• "map my graph against this ICP"
• "show me the bridge math"

Do not use this by itself when the user really wants:

• full lead generation and outbound sequencing -> use lead-intelligence
• pruning, rebalancing, and growing the network -> use connections-optimizer

Inputs

Collect or infer:

• target people, companies, or ICP definition
• the user's current graph on X, LinkedIn, or both
• weighting priorities such as role, industry, geography, and responsiveness
• traversal depth and decay tolerance

Core Model

Given:

• `T…