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Directed Acyclic Graphs (DAGs)
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Topological Ordering
An arrangement of nodes that respects the directions of the edges is crucial for applications that need a linear ordering of tasks.
Acyclic Property
Ensures there are no directed cycles, which allows for directional progress or ordering.
Directed Edges
Edges have a direction, indicating a one-way relationship, which is important for representing systems with directionality.
Path Lengths
The lengths of paths have implications for optimization and are used for finding the shortest or longest path problems.
Convergent / Divergent Paths
Multiple paths can converge to or diverge from a node, modeling situations where processes join or split.
Single-Sink Termination
An endpoint that is reachable by other nodes but has no outgoing edges can represent a final state or conclusion in processes.
Single-Source Reachability
Given a starting node, some or all other nodes can be reached, which is used in pathfinding problems.
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