A graph is a structure composed of points called vertices and segments called edges that connect some pairs of these vertices, serving as a fundamental model for representing relationships between entities.
1. When was the fundamental concept of a graph, including its components like vertices and edges, first established in mathematical literature?
2. What is the primary role of directed graphs in modeling real-world systems?
3. Who is credited with first establishing the fundamental concepts of graph theory, including vertices and edges, and in which year?
Graph — components?
Vertices and edges
Graph vocabulary — types?
Simple, complete, directed, connected, stable
Graph — components?
Vertices and edges.
Loop — definition?
Edge connecting a vertex to itself.
Complete graph — property?
Every pair of vertices connected.
Directed graph — role?
Edges have direction arrows.
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