Edge tenacity T_e(G): edge analogue of tenacity. For edge cut set F: T_e = (|F| + τ(G-F)) / ω(G-F). Models edge failure scenarios (link failures in networks). Higher T_e = more robust. T_e ≥ λ(G) (edge connectivity).
How to Use
Select graph:
- T_e: Edge tenacity
- |F|: Edges cut
- τ/ω: Component ratio
Edge vs Vertex
Vertex tenacity: remove vertices. Edge tenacity: remove edges. Edge failures model link outages in networks. Often more natural for communication networks where links fail independently.
Network Reliability
Telecommunication networks: link failures. Power grids: transmission line failures. Internet: router link outages. Higher edge tenacity = network survives more link failures gracefully.
Step-by-Step Instructions
- 1Select graph.
- 2Find edge cut F.
- 3Compute (|F|+τ)/ω.
- 4Compare with T(G).
- 5Assess reliability.