If a planar drawing of a graph has 15 edges and 8 vertices, how many faces does the graph have? | Numerade

SOLVED: 9.6 Prove or disprove the following: (a) Every subgraph of a planar graph is planar. (b) Every subgraph of a nonplanar graph is nonplanar. (c) If G is a nonplanar graph, then G contains a proper nonplanar subgraph. (d) If G does not contain K5 or K3,3 as a subgraph, then G is planar. (e) If G is a graph of order n and size m with m ≤ 3n - 6, then G is planar. (f) If G is a graph with one or more triangles and contains no subdivision of K5 as a subgraph, then G is planar.

SOLVED: Determine whether each graph is planar. If the graph is planar, redraw it so that no edges cross; otherwise, find a subgraph homeomorphic to either K5 or K3,3 . | Numerade

Prove that any planar graph must have a vertex of degree 5 or less. | Numerade

Graph and its representations - GeeksforGeeks

Check whether a given graph is Bipartite or not - GeeksforGeeks