Question: You are given two graphs G and H with V(G) = (a, b, c, d) and V(H) = [1, 2, 3]. How many relations can

You are given two graphs G and H with V(G) = (a, b, c, d) and V(H) = [1, 2, 3]. How many relations can be defined from set V(G) to set V(H)? How many functions can be defined from set V(G) to set V(H)? How many bijections can be defined from set V(G) to V(G)?\fIf a graph G has a subgraph H with 1. [V(H)I = IV(G)I 2. H is connected 3. le(H)| = IV(H)I 4. VUE V (H) , deg (v) = 2k, ke Z then the graph G has a Hamiltonian circuit. True or false? O True O False

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