Question

What arcs got added to the queue while enforcing C → → B? Remember that the queue contained C → → D, D → → A, D → → B, and D → → C prior to enforcing C → → B.

a) Graph theory
b) Queue management
c) Arc addition algorithm
d) Network topology

Answer 1

The question pertains to enforcing arc consistency in graph theory, specifically within constraint satisfaction problems. The arcs are processed in a queue to ensure domain values align with constraints. Adding an arc like C →→ B may affect and add related arcs to the queue.

Step-by-step explanation:

The question refers to enforcing an arc consistency algorithm within the field of graph theory, which is a part of discrete mathematics. Arc consistency is a concept used in constraint satisfaction problems where variables are represented by nodes and constraints are arcs. When we enforce C →→ B, we are looking to make sure that for every value in the domain of C, there is some allowed corresponding value in the domain of B.

The queue mentioned contains arcs that are waiting to be processed to establish consistency. Initially, the queue has C →→ D, D →→ A, D →→ B, and D →→ C. While enforcing C →→ B, any arc that would be affected by a change in the domain of B should be added to the queue. This includes arcs directed from other variables to B and potentially arcs from B to other variables that are not yet consistent.