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Q: How many hamilton circuits in a 5 vertices graph?
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How many possible Hamilton circuits exist in a graph with seven vertices?

There are (7 - 1)!/2 = 6!/2 = 360 of them.


How many perfect matchings are there in a complete graph of 6 vertices?

15


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.


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

There are 7 edges.


How many subgraphs with at least one vertex does a complete graph of 3 vertices k3 have?

one vertex: 3 two vertices: 6 three vertices: 8 total 17


A simple graph with n vertices and k components can have atmost how many edges?

In a connected component of a graph with Mi vertices, the maximum number of edges is MiC2 or Mi(Mi-1)/2. So if we have k components and each component has Mi vertices then the maximum number of edges for the graph is M1C2+M2C2+...+MKC2. Of course the sum of Mi as i goes from 1 to k must be n since the sum of the vertices in each component is the sum of all the vertices in the graph which you gave as n. Where MC2 means choose 2 from M and there are M(M-1)/2 ways to do that.


How many spanning trees can be drawn with 5 labeled vertices?

No of spanning trees in a complete graph Kn is given by n^(n-2) so for 5 labelled vertices no of spanning trees 125


How many vertices in 2 squares and 2 rectangles?

16 vertices.16 vertices.16 vertices.16 vertices.


How many vertices does a pentacontagon have?

A pentacontagon has 50 vertices (not vertices's!).


How many vertices cube?

8 vertices


How many vertices on a cuboid?

Eight vertices


How many vertices does a icosidodecahedron have?

it has 30 vertices