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What states that the number of edges equals the number of faces plus number of vertices-2?

The Euler characteristic.


What is the largest number of vertices in a graph with 35 edges is all vertices are of degree at least 3?

In a graph, the sum of the degrees of all vertices is equal to twice the number of edges. This is known as the Handshaking Lemma. Therefore, if all vertices in a graph with 35 edges have a degree of at least 3, the sum of the degrees of all vertices must be at least 3 times the number of vertices. Since each edge contributes 2 to the sum of degrees, we have 2 * 35 = 3 * V, where V is the number of vertices. Solving for V, we get V = 70/3 = 23.33. Since the number of vertices must be a whole number, the largest possible number of vertices in this graph is 23.


What is the sum of degrees of all vertices in an undirected graph is twice the number of edges?

It is a true statement.


If faces plus edges equals vertices plus what number follows?

There is no answer to the question as it appears. Faces + Vertices = Edges + 2 (The Euler characteristic of simply connected polyhedra).


what solid has more vertices?

There is no limit to the number of vertices that a solid can have.There is no limit to the number of vertices that a solid can have.There is no limit to the number of vertices that a solid can have.There is no limit to the number of vertices that a solid can have.


How do you compare the number of faces to the number of vertices's in a cube?

The number of faces is 6, the number of vertices (not vertices's) is 8.


Can a prism have an odd number of vertices's?

No. Not can it have an odd number of vertices.


Does a cylinder have any vertices?

anything with angles does have vertices * * * * * The circular base of a cylinder meets the curved surface at an angle of 90 degrees. So there are an infinite number of angles, but not a vertex in sight. Something wrong with your statement, perhaps!


Number of vertices on cube?

There are 8 vertices on a cube.Rememeber the vertices are the points.


What do you notice about the number of sides and the number vertices apolygon has?

The number of sides and vertices are the same


Does a prism have an even number of vertices?

Yes, a prism has an even number of vertices. A prism is a three-dimensional shape with two parallel and congruent polygonal bases connected by rectangular or parallelogram faces. The number of vertices in a prism is equal to the number of vertices in its bases plus the number of vertices in the lateral faces. Since each base has an equal number of vertices, and the lateral faces have an even number of vertices, the total number of vertices in a prism is always even.


How many eadges does a pyramid have?

It depends on the base of the pyramid. To find it, add the number of edges of the vertices is of the base to its number of edges. Example: for a square pyramid, there is 4 vertices and 4 edges in the base. The Edges of the pyramid is then 4+4 which equals 8.