Gallery

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K20. A complete graph (a clique) with 20 vertices.

K20

K12,60. A complete bipartite graphs with the bipartition sizes: 12 and 60 vertices.

K12,60

Grid 12,15. A grid with 10 rows and 15 rows of vertices, connected verticality and horizontally.

Spider 10,20. Spikes and circles create web-like graphs.

In this particular case, consider the complement graph (edges are deleted and vertices that are not initially connected generate new edges). Then the graph becomes:

Quiz: The following graphs are complementary to the graphs: K20, K12,6 and Grid 12,15. Can you match them? Characterize the new images. What are they representing? What are they hiding?