The user will enter the data structures and algorithms doubt they have in the text box and press enter
This question will then be sent to openai and we extract a structured output from openai. Let’s think about the structured output we want.
Miscellaneous things we want to add:
| # Trivially perfect graphs are the graphs that do not have a P4 path graph or a C4 cycle graph as induced subgraphs. | |
| # Reference: Brandstädt, Le & Spinrad (1999), theorem 6.6.1, p. 99; Golumbic (1978), theorem 2. Wolk (1962) and Wolk (1965) proved this for comparability graphs of rooted forests. | |
| # Error: By mistake used DiGraphs here instead of undirected. | |
| # returns true if C4 is present | |
| def checkC4(graph): | |
| for vertex in graph: | |
| if(graph.degree(vertex) != 2): | |
| return False |
| # Function to find all minimal separators of a graph | |
| def find_minimal_separators(G): | |
| separators = [] | |
| visited_separators = {} | |
| # Initial iteration | |
| for v in G.vertices(): | |
| N_v = set(G.neighbors(v)) | |
| S = N_v.union({v}) | |
| G_S = G.copy() |
