Graph Isomorphism Problem 2: Exploring Vertex-Edge Correspondence

This example demonstrates the second problem in graph isomorphism, where two graphs are constructed and compared to determine whether they are equivalent under a relabeling of vertices that preserves edge connections. The core mathematical concept is the isomorphism mapping in graph theory, which asks whether two graphs can be made identical by renaming vertices while keeping adjacency relations intact. Construction highlights: based on the construction summary, the GeoGebra Segment command is used, creating multiple points (A, B, C, D, E, F, G, H) and segments (f, g, l, k, m, n, p, h, i, q, r) that form the two graphs to be compared. This is suitable for high school or university discrete mathematics courses when learning graph theory fundamentals, and can also be used in math competitions or teacher-led demonstrations to help students intuitively grasp the criteria for isomorphism.