What are the basic concepts of graph theory?
An example of an AI chatbot conversation about basic graph theory concepts.
What are the basic concepts of graph theory?
Graph theory is a branch of mathematics that studies graphs, which are structures made up of vertices (or nodes) and edges (connections between nodes). Key concepts include vertices, edges, paths, cycles, and connectivity.
Can you explain what a vertex and an edge are?
Sure! A vertex (or node) is a fundamental unit in a graph, representing an entity. An edge is a connection between two vertices, indicating a relationship or pathway between them.
What is a path in graph theory?
A path in graph theory is a sequence of edges that connects a sequence of vertices. It can be simple (no repeated vertices) or can include cycles.
What does it mean for a graph to be connected?
A graph is connected if there is a path between every pair of vertices. In other words, you can reach any vertex from any other vertex in the graph.
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