Graph Isomorphism Problem 1

① This GeoGebra example demonstrates the first problem of graph isomorphism, illustrating whether two graphs are structurally equivalent by matching vertices and edges. ② The core mathematical concept is the isomorphism mapping in graph theory, which requires a bijection preserving adjacency relations, involving combinatorial and symmetry analysis. ③ Construction details: Based on the construction summary, the Segment command is used to create line segments, with points A, B, C, D, E and segments f, g, h, i, j, k, l defined as objects; these segments form the edges of the graphs, and by adjusting vertex positions or labels, the connection patterns of two graphs can be compared. ④ Suitable for high school or university discrete mathematics courses on graph theory basics, also useful for math competitions or visual teaching to help students intuitively understand isomorphism determination.