Description
Return the updated count and removed only for a positive-to-zero transition.
A graph's degree records how many edge incidences meet a vertex. Directed edges distinguish incoming and outgoing incidences, while loops and parallel edges require explicit counting conventions; a local degree formula does not reconstruct a graph.
Return the updated count and removed only for a positive-to-zero transition.
When to use this tool
Use Multigraph Parallel Edge Multiplicity Update when you need a degree or incidence calculation under the stated graph convention.
How to use the tool and how it works
- Enter multiplicity, delta. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read multiplicity, removed. Inspect removed before interpreting the associated values.
Require nonnegative integer multiplicity and a delta whose sum remains a nonnegative safe integer. Return the updated count and removed only for a positive-to-zero transition.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| multiplicity | Multiplicity | Required. Safe integer; minimum 0. |
| delta | Delta | Required. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| multiplicity | Multiplicity | Required. Safe integer. |
| removed | Removed | Required. Boolean. |
{
"input": {
"multiplicity": 3,
"delta": -3
},
"output": {
"multiplicity": 0,
"removed": true
}
}Limitations and assumptions
- An initial zero with zero delta is not removed; no edge records, graph mutation, or actual parallel-edge identity is verified.
- 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.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Build an adjacency structure and count actual incidences when a full graph is available. Validate loop, multiplicity, direction, and vertex-set assumptions before applying a simple-graph identity.
References
Similar or alternative tools
- Multigraph Parallel Edge Identity Token
Compare edge IDs literally and compare endpoint order, allowing reversed endpoints only when directed is false.
- Edge Contraction Selfloop Count Delta
Add edgesBetween to loop count only when keepContractedEdges, otherwise preserve existingLoops.