Need help with 48.4 and 48.5

ls it reflexive? Irreflexive? Symmetric? Antisymmetric? Transitive? 48.3. Let C be a clique and let I be an independent set in a graph G. Prove that IC n1 48.4. Let G be a complete graph on n vertices a. How many spanning subgraphs does G have? b. How many induced subgraphs does G have? 48.5. Let G and H be the two graphs in the figure. Please find ?(G), o(G), ?(H), and ?(H). 48.6. Find a graph G with a(G)(G) 5 48.7. Suppose that G is a subgraph of H. Prove or disprove: a. a(G) o(H). ls it reflexive? Irreflexive? Symmetric? Antisymmetric? Transitive? 48.3. Let C be a clique and let I be an independent set in a graph G. Prove that IC n1 48.4. Let G be a complete graph on n vertices a. How many spanning subgraphs does G have? b. How many induced subgraphs does G have? 48.5. Let G and H be the two graphs in the figure. Please find ?(G), o(G), ?(H), and ?(H). 48.6. Find a graph G with a(G)(G) 5 48.7. Suppose that G is a subgraph of H. Prove or disprove: a. a(G) o(H)