Four irregularity measures compared: A (Albertson, edge |d-d|), B (Bell, degree variance), σ (sigma, edge (d-d)²), CS (Collatz-Sinogowitz, spectral). All zero iff regular. Each captures different irregularity aspects. This dashboard shows all four simultaneously.
How to Use
Select graph:
- All 4: Side by side
- Regular?: All = 0
- Rank: Compare
Measure Comparison
A: linear in degree gaps (edge-level). B: variance (vertex-level, statistical). σ: quadratic in gaps (penalizes extremes). CS: spectral (captures eigenstructure). Four lenses on the same property.
When They Agree/Disagree
All agree on regularity (all=0). Some rank graphs differently: a graph can be more irregular by A but less by CS. The disagreement reveals structural nuances invisible to any single measure.
Step-by-Step Instructions
- 1Select graph.
- 2Compute all four measures.
- 3Check if all = 0.
- 4Compare rankings.
- 5Identify structural character.