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o(n^2)

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Q: What is the time required to find shortest path in a graph with n vertices and e edges?
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Can there be a graph with 8 vertices and 29 edges?

Yes.


What is subgraph in given graph?

If all the vertices and edges of a graph A are in graph B then graph A is a sub graph of B.


How many edges are there in a graph with 7 vertices each with degree 2?

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How many minimum edges in a Cyclic graph with n vertices?

The term "cyclic graph" is not well-defined. If you mean a graph that is not acyclic, then the answer is 3. That would be the union of a complete graph on 3 vertices and any number of isolated vertices. If you mean a graph that is (isomorphic to) a cycle, then the answer is n. If you are really asking the maximum number of edges, then that would be the triangle numbers such as n (n-1) /2.


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36 vertices if all of them are or order two except one at each end.


Which platonic graph is Bipartite?

A cube is bipartite platonic graph. You can represent it as platonic by drawing one square inside another and connecting respective edges. Start from any vertex, name it A, color it black. Color the adjacent vertices red and name them B, C, D. Take one of the red vertices (i,e, B, C, D)and all adjacent vertices should be black... and so on. You will be able to get cube with no edges between two vertices of same color. This shows it should be bipartite as well as we used only two color to represent graph. Furthermore, put vertices of black and red color in two partitions and connect them with same edges as in the previous graph. Since, there is no edge between two vertices of same color this is bipartite graph as required.


The minimum number of edges in a connected cyclic graph on n vertices is?

n-1


Is the complete graph on 5 vertices planar?

No, the complete graph of 5 vertices is non planar. because we cant make any such complete graph which draw without cross over the edges . if there exist any crossing with respect to edges then the graph is non planar.Note:- a graph which contain minimum one edge from one vertex to another is called as complete graph...