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Graph Path Reversal Oriented Edge Sign Tool

Calculate graph path reversal oriented edge sign from explicit caller-supplied inputs.

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Description

Reverse the list order and negate each sign.

A walk is an ordered sequence of visited vertices or edges, while a path normally adds structural restrictions. Sequence manipulation and endpoint checks alone do not verify that every required graph edge exists.

Reverse the list order and negate each sign.

When to use this tool

Use Graph Path Reversal Oriented Edge Sign when you need a sequence transformation, endpoint comparison, or path-related local calculation.

How to use the tool and how it works

  1. Enter edgeSigns. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read reversedSigns. Use the output convention below.

Require every edgeSigns entry to be +1 or -1. Reverse the list order and negate each sign.1

Input fieldMeaning and unitsAccepted input
edgeSignsEdge SignsRequired. Array of safe integer; maximum items 256.
Output fieldInterpretationReturned shape
reversedSignsReversed SignsRequired. Array of safe integer; maximum items 256.
json
{
  "input": {
    "edgeSigns": [
      1,
      -1,
      1
    ]
  },
  "output": {
    "reversedSigns": [
      -1,
      1,
      -1
    ]
  }
}

Limitations and assumptions

  • Signs encode traversal orientation, not necessarily signed-graph balance; no actual edge path, endpoint continuity, or reversed-route validity is checked.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.

Alternative or Complementary methods

Validate each consecutive edge against the graph and check the required path or cycle properties. Use a dedicated traversal or shortest-path algorithm when reachability or optimality is the real question.

References

  1. Calculation and input contract: graph/graph-path-reversal-oriented-edge-sign — tool.io

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