Description
Require nonnegative integer firstDegree and secondDegree and return their sum.
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.
Require nonnegative integer firstDegree and secondDegree and return their sum.
When to use this tool
Use Graph Cartesian Product Degree Term when you need a degree or incidence calculation under the stated graph convention.
How to use the tool and how it works
- Enter firstDegree, secondDegree. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read degree. Use the output convention below.
Require nonnegative integer firstDegree and secondDegree and return their sum.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstDegree | First Degree | Required. Safe integer; minimum 0. |
| secondDegree | Second Degree | Required. Safe integer; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| degree | Degree | Required. Safe integer. |
{
"input": {
"firstDegree": 3,
"secondDegree": 4
},
"output": {
"degree": 7
}
}Limitations and assumptions
- This is one Cartesian-product vertex-degree term under the intended graph conventions; factors, edges, simplicity, and actual degrees are not 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
- Edge Endpoint Degree Product
Require nonnegative integer firstDegree and secondDegree and return their exact product as productDecimal.
- Graph Degree Sequence Single Node Budget
Return nodes-1-degree as remainingNeighbors and feasible when degree is below nodes.