# Large Induced Acyclic and Outerplanar Subgraphs of 2-Outerplanar Graph

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Let G be a graph with p vertices and q edges and A = 0,1,2,..., A vertex labeling f: V (G) -> A induces an edge labeling f* defined by f*(uv) = f(u) + f(v) for all edges uv. For aâˆˆ A, let vf (a) be the number of vertices v with f(v) = a. A graph G is said to be vertex equitable if there...