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

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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 largest number of vertices in a graph with 35 edges if all vertices are?

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


Which 2 shapes have the same number of edges and vertices?

no numbers have the same number of edges and vertices


What is the relationship among the vertices's faces and edges of polyhedrons?

If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2


What is a shape that has equal number of faces equal number edges and equal number of vertices?

A sphere- there are no faces, edges or vertices


What is the number of faces vertices and edges of a rectangular prism and a rectangular pyramid?

for any prism , number of ___ + number of vertices = number of edges + ___


What 3D shape has most vertices and edges?

There is no limit to the number of vertices nor edges.


How many edges vertices and edges does a rectangle2D have?

Edges: 4, Vertices: 4 and Edges: still 4, their number hasn't changed!


What is the number of faces edges and vertices of a pentagonal prism?

It has 7 faces, 15 edges and 10 vertices


How many vertices and edges does a quadrilateral pyramid have?

5 vertices and 8 edges.5 vertices and 8 edges.5 vertices and 8 edges.5 vertices and 8 edges.


Which 3d shape has the same number of edges vertices and faces?

Sphere ( 0 faces , 0 edges , 0 vertices )