Explore Graph Products!

This interactive visualizer lets you explore the graph constructions used in my research. Choose a cycle size: C𝑛 and a complete graph size K𝑝, then build either the corona product:  C𝑛 ⊙ K𝑝 or the double corona product:  C𝑛 ⊚ K𝑝 . These correspond to the cases b = 1 and b = 2 of my generalized construction, the base-b corona product:  C𝑛 ⊙[b] K𝑝 . 

You can also view the base-b corona product directly with the Perform Base-b Corona button. You can explore b = 1, 2, 3, 4 graphs in a “layered” view, where each layer represents one copy of  C𝑛  and shared ​ K𝑝  graphs cluster around each cycle vertex. 

Use the buttons above to show the base graphs, perform the constructions, or reset. The legend below explains the colors used for each vertex and edge type. You can also click and drag the nodes to rearrange them, revealing different isomorphic representations of the same graph structure. 

Have fun and enjoy!