A tree with n vertices has n-1 edges.
9 edges, 6 vertices. A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 4 faces, 6 edges, 4 vertices
n * (n - 1) / 2 That would ignore the "acyclic" part of the question. An acyclic graph with the maximum number of edges is a tree. The correct answer is n-1 edges.
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 faces, 10 edges, 6 vertices
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 16 edges, 9 vertices
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 12 edges, 7 vertices, 12 edges
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 edges, 4 vertices
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 8 edges, 5 vertices
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 16 edges, 9 vertices
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 edges, 4 vertices
n-k-1
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. 8 vertices, 12 edges
A tree is a connected graph with no cycles. By definition, a tree with ( n ) vertices has ( n - 1 ) edges. If we assume there are no vertices of degree 1, then every vertex must have a degree of at least 2. This would imply that the minimum number of edges required to connect the vertices in such a case would exceed ( n - 1 ), leading to a contradiction. Therefore, a tree must have at least two vertices of degree 1, which are typically the leaf nodes.
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 8 edges, 5 vertices
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 6 faces, 10 edges, 6 vertices
9 edges, 6 vertices. A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. 4 faces, 6 edges, 4 vertices