Consider an undirected simple graph G with 300 nodes. The maximum number of edges to be included in G so that the graph is not connected is?44511 14800 4401134511

The edge connectivity of an undirected graph is the minimum number k of edgesthat must be removed to disconnect the graph. For example, the edge connectivityof a tree is 1, and the edge connectivity of a cyclic chain of vertices is 2. Showhow to determine the edge connectivity of an undirected graph G D .V; E/ byrunning a maximum-flow algorithm on at most jV j flow networks, each havingO.V / vertices and O.E/ edges.

What is the number of edges present in a complete graph having n vertices?

What is the maximum number of edges in a simple graph with n vertices. Justify your answer.

Alice and Bob have an undirected graph of n nodes and three types of edges:Type 1: Can be traversed by Alice only.Type 2: Can be traversed by Bob only.Type 3: Can be traversed by both Alice and Bob.Given an array edges where edges[i] = [typei, ui, vi] represents a bidirectional edge of type typei between nodes ui and vi, find the maximum number of edges you can remove so that after removing the edges, the graph can still be fully traversed by both Alice and Bob. The graph is fully traversed by Alice and Bob if starting from any node, they can reach all other nodes.Return the maximum number of edges you can remove, or return -1 if Alice and Bob cannot fully traverse the graph. Example 1:Input: n = 4, edges = [[3,1,2],[3,2,3],[1,1,3],[1,2,4],[1,1,2],[2,3,4]]Output: 2Explanation: If we remove the 2 edges [1,1,2] and [1,1,3]. The graph will still be fully traversable by Alice and Bob. Removing any additional edge will not make it so. So the maximum number of edges we can remove is 2.Example 2:Input: n = 4, edges = [[3,1,2],[3,2,3],[1,1,4],[2,1,4]]Output: 0Explanation: Notice that removing any edge will not make the graph fully traversable by Alice and Bob.Example 3:Input: n = 4, edges = [[3,2,3],[1,1,2],[2,3,4]]Output: -1Explanation: In the current graph, Alice cannot reach node 4 from the other nodes. Likewise, Bob cannot reach 1. Therefore it's impossible to make the graph fully traversable.  Constraints:1 <= n <= 1051 <= edges.length <= min(105, 3 * n * (n - 1) / 2)edges[i].length == 31 <= typei <= 31 <= ui < vi <= nAll tuples (typei, ui, vi) are distinct.

What is the maximum number of edges in a complete undirected graph with n vertices?nn(n−1)/2n^2 2n