Connectivity Everywhere Driver Chain Builder

Build connectivity driver chains from next-index relationships and report root, terminal, and cycle information.

Description

Connectivity implications can be represented as one-successor driver chains.

Connectivity implications can be represented as one-successor driver chains. Root-based paths and cycle detection expose the structure of caller-supplied links.1

The returned values include Driver chains, Cycle detected, Root drivers, Terminal drivers. The How section below explains the calculation, input rules and interpretation.

When to use Connectivity Everywhere Driver Chain Builder

Use Connectivity Everywhere Driver Chain Builder when you need to evaluate the supplied records under the calculation and evidence rules below. No actual causal mechanism is validated. Root and terminal counts describe this traversal; rootless terminal-free cycles still set cycleDetected true.

Define the question, evidence and scenario assumptions first. Supply the chosen score scales, time horizons or reference selection explicitly. Interpret generated text as a discussion template and screen labels as the stated rules.

How to use Connectivity Everywhere Driver Chain Builder and understand its results

  1. Define the question, evidence and scenario assumptions first. Supply the chosen score scales, time horizons or reference selection explicitly. Interpret generated text as a discussion template and screen labels as the stated rules.
  2. Enter driverIds, nextDriverIndices using the field table and calculation rules, then run the tool.
  3. Read chains, cycleDetected, rootCount, terminalCount. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
Input fieldMeaningValue type; see rules belowRequirement
driverIdsDriver IDslist of stringRequired
nextDriverIndicesOne -1 terminal marker or valid next-driver index per driver.list of numberRequired

Use aligned nonempty distinct after trimming, nonblank driver IDs and safe-integer next indexes−1 or in range. Trim IDs. Scan every component for cycles, including components without roots. Build printed chains only from roots in input order; a detected repeat appends the repeated ID. Collect terminal IDs only from root-started paths. Return the fields below; a pure cycle returns no chains and no terminals.

root=driver never targeted; follow next index until−1 or repeat

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
chainsDriver chainslist of string
cycleDetectedCycle detectedboolean
rootCountRoot driversinteger; minimum: 0
terminalCountTerminal driversinteger; minimum: 0
json
{
  "input": {
    "driverIds": [
      "Coverage",
      "Devices",
      "Services",
      "Outcomes"
    ],
    "nextDriverIndices": [
      1,
      2,
      3,
      -1
    ]
  },
  "output": {
    "chains": [
      "Coverage -> Devices -> Services -> Outcomes"
    ],
    "cycleDetected": false,
    "rootCount": 1,
    "terminalCount": 1
  }
}

Limitations and assumptions

No actual causal mechanism is validated. Root and terminal counts describe this traversal; rootless terminal-free cycles still set cycleDetected true.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Core numeric and string lists are limited to 100,000 entries; text entries are subject to the general large-text limit. Follow any smaller calculation limits above. Missing fields without a declared default, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Space Economy Driver Implication Chain: Space-economy implications can be represented as one-successor driver chains. A cycle and the absence of a starting root are distinct graph properties. For a complementary task, use Urbanization Driver Implication Chain Builder: A driver graph records directed implications. Reachability identifies which listed drivers can be reached from a chosen root.

References

  1. Connectivity Everywhere Driver Chain Builder — tool.io

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