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Questions and Answers
What is a graph in the context of data structures?
What is a graph in the context of data structures?
- A formalism for representing relationships among items (correct)
- A formalism for representing mathematical equations
- A formalism for representing logical operations
- A formalism for representing sequences of items
In a graph, what does the set of vertices represent?
In a graph, what does the set of vertices represent?
- Number of edges
- Individual nodes or items (correct)
- Logical operations
- Direction of edges
What do undirected graphs imply about the edges?
What do undirected graphs imply about the edges?
- Edges are bidirectional
- Edges have no specific direction
- Edges are one-way only
- Edges are always two-way (correct)
What is the in-degree of a vertex in a directed graph?
What is the in-degree of a vertex in a directed graph?
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What do self-edges represent in a graph?
What do self-edges represent in a graph?
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Study Notes
Graphs in Data Structures
- A graph is a non-linear data structure composed of vertices (also called nodes or points) connected by edges.
Vertices in a Graph
- The set of vertices in a graph represents a set of unique objects or entities, such as people, cities, or objects.
Undirected Graphs
- In an undirected graph, the edges imply a bi-directional relationship between the vertices, meaning that the edges do not have direction and can be traversed in both directions.
Directed Graphs
- In a directed graph, the in-degree of a vertex is the number of edges incoming to that vertex.
Self-Edges in a Graph
- Self-edges in a graph represent a vertex that is connected to itself, essentially forming a loop.
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