How many subgraphs of $K_{10,10}$ exist that are isomorphic to the graph $G$ on the picture?
I can think of $P(10,10)$ but I don't think that all of these cases are isomorphic with $G$
2026-03-26 16:03:40.1774541020
Isomorphic graphs derived from $K_{10,10}$
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If you consider each vertex as unique then: Pick any 3 vertices from the 10 and they will form a triangle. Then pick another 3 from the remaining 7 and they form a triangle then another 3 from the remaining 4 and they form a triangle then the remaining one is connected to all three triangles so you can form the graph G. Thus the answer is ${10}\choose{3}$${7}\choose{3}$${4}\choose{3}$$=16800$