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social-graph-ranker

Rank X and LinkedIn connections by their value as potential introducers to target people or companies. Weight connection paths, target relevance, and relationship strength to identify promising introduction routes, conditional options, and gaps in the network.

OriginalShow the original description

Weighted social-graph ranking for warm intro discovery, bridge scoring, and network gap analysis across X and LinkedIn. Use when the user wants the reusable graph-ranking engine itself, not the broader outreach or network-maintenance workflow layered on top of it.

Works withLinkedIn
AI rating80/ 100See how to install

Good for

  • Finding connections who could introduce target people
  • Ranking mutual connections by introduction value
  • Mapping introduction routes to target companies
  • Identifying targets with no existing introduction path

Overview

What it does

This skill ranks people in your X and LinkedIn networks who could introduce you to someone you want to meet. It considers target importance, the distance of introduction paths, additional connections held by direct contacts, responsiveness, and relationship strength. Results distinguish promising introducers, paths that may work under certain conditions, and targets with no connection that could lead to an introduction.

When it helps

Use it when you have particular people or companies in mind and need to decide whom to ask for an introduction. You can evaluate your network against priorities such as role, industry, and location, or use the results to choose between an introduction and direct contact. You can also examine how the ranking calculations work.

Example requests

  • “Rank my contacts by who could introduce me to these targets.”
  • “Organize introduction paths, prioritizing industry fit and responsiveness.”
  • “Show which targets have no introduction path through my existing network.”

Notes

Inputs include target people or companies, your current connections, and weighting priorities. The related skill x-api provides access to X connections. Broader sales activities and network organization or growth are handled by separate related skills.

This overview was written by AI (OpenAI Codex) from the public SKILL.md. Check the original below for the exact behavior.

Objective evaluation

AI rated this skill on four points using only the contents of its SKILL.md. Stars and popularity are not taken into account.

Clear instructionsIs it clear when to use it and what it does?
AGoodIt specifies when to rank introducers and identifies broader sales work as the responsibility of other skills.
Concrete stepsAre steps, inputs, outputs, and examples spelled out?
AGoodIt provides weighted formulas, six workflow steps, and an output format for introducers, conditional paths, and network gaps.
SafetyAre sending data, deleting files, and running commands disclosed?
BPartly lackingIt instructs retrieval of X or LinkedIn connections without specifying collection boundaries or confirmation steps.
Easy setupDoes it need few tools or API keys, and are they documented?
BPartly lackingIt names x-api for X connections but omits authentication setup and the method for accessing LinkedIn connections.

The total counts each point as A = 25, B = 15, C = 5. Rated by AI (OpenAI Codex) as of Oct 19, 2026. Treat it as a guide and read the original before installing.

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Files included (1)

  • SKILL.md4.1 KB

SKILL.md (original)

Review the instructions the agent will receive before you install.

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 = weighted target set
  • M = your current mutuals / direct connections
  • d(m, t) = shortest hop distance from mutual m to target t
  • w(t) = target weight from signal scoring

Base bridge score:

B(m) = Σ_{t ∈ T} w(t) · λ^(d(m,t) - 1)

Where:

  • λ is the decay factor, usually 0.5
  • a direct path contributes full value
  • each extra hop halves the contribution

Second-order expansion:

B_ext(m) = B(m) + α · Σ_{m' ∈ N(m) \\ M} Σ_{t ∈ T} w(t) · λ^(d(m',t))

Where:

  • N(m) \\ M is the set of people the mutual knows that you do not
  • α discounts second-order reach, usually 0.3

Response-adjusted final ranking:

R(m) = B_ext(m) · (1 + β · engagement(m))

Where:

  • engagement(m) is normalized responsiveness or relationship strength
  • β is the engagement bonus, usually 0.2

Interpretation:

  • Tier 1: high R(m) and direct bridge paths -> warm intro asks
  • Tier 2: medium R(m) and one-hop bridge paths -> conditional intro asks
  • Tier 3: low R(m) or no viable bridge -> direct outreach or follow-gap fill

Scoring Signals

Weight targets before graph traversal with whatever matters for the current priority set:

  • role or title alignment
  • company or industry fit
  • current activity and recency
  • geographic relevance
  • influence or reach
  • likelihood of response

Weight mutuals after traversal with:

  • number of weighted paths into the target set
  • directness of those paths
  • responsiveness or prior interaction history
  • contextual fit for making the intro

Workflow

  1. Build the weighted target set.
  2. Pull the user's graph from X, LinkedIn, or both.
  3. Compute direct bridge scores.
  4. Expand second-order candidates for the highest-value mutuals.
  5. Rank by R(m).
  6. Return:
    • best warm intro asks
    • conditional bridge paths
    • graph gaps where no warm path exists

Output Shape

SOCIAL GRAPH RANKING
====================

Priority Set:
Platforms:
Decay Model:

Top Bridges
- mutual / connection
  base_score:
  extended_score:
  best_targets:
  path_summary:
  recommended_action:

Conditional Paths
- mutual / connection
  reason:
  extra hop cost:

No Warm Path
- target
  recommendation: direct outreach / fill graph gap

Related Skills

  • lead-intelligence uses this ranking model inside the broader target-discovery and outreach pipeline
  • connections-optimizer uses the same bridge logic when deciding who to keep, prune, or add
  • brand-voice should run before drafting any intro request or direct outreach
  • x-api provides X graph access and optional execution paths

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