Uniformly Optimally Reliable Graphs: A Survey

Romero, Pablo

Resumen:

Which is the most reliable graph with n nodes and m edges? This celebrated problem has several aspects, according to the notion of optimality (in a local or uniform sense), failure type (either nodes or edges), or reliability model (all-terminal connectedness, two-terminal or multiterminal setting). This article presents a chronological survey of the multiple proposals to address the problem, together with recent trends and enigmatic conjectures posed decades ago that promote further research.


Detalles Bibliográficos
2021
Agencia Nacional de Investigación e Innovación
Uniformly most reliable graph
Uniformly least reliable graph
All-terminal reliability
Two-terminal reliability
Failure type
Graph theory
Ciencias Naturales y Exactas
Matemáticas
Matemática Aplicada
Inglés
Agencia Nacional de Investigación e Innovación
REDI
https://hdl.handle.net/20.500.12381/699
Acceso abierto
Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional. (CC BY-NC-ND)