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What does "Graph Operations" mean?

Table of Contents

Graph operations are methods used to create new graphs from existing ones. These operations can change the way the graphs look and how they function. Common operations include adding vertices, removing edges, or connecting different graphs together.

Types of Graph Operations

  • Adding Vertices: This involves placing new points (vertices) in the graph. Each new vertex can connect to existing ones through edges.

  • Removing Edges: Edges are the lines that connect the vertices. Removing some of these edges changes the connections between points in the graph.

  • Combining Graphs: This operation connects two or more graphs into a single graph. It allows for more complex structures and relationships.

Importance of Graph Operations

These operations help in studying graph properties like choosability, which is about how we can assign values to vertices and edges. By applying different operations, we can learn more about how graphs behave and how they can be used in various applications.

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