14. How many internal vertices in ternary tree with 100 vertices? а) 301 b) 300 c) 133 d) 166 e) 33

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A: there are given faces, vertices and edges. we have to find which polyhedron exists. we know the…

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

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A: Here we use basic defnitions of tree

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Q: A polyhedron has 12 faces and 30 edges. How many vertices does it have ?

A: Given,            A polyhedron has 12 faces and 30 edges.

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A: To be constructed : Venn diagram to show the hierarchy of triangles, quadrilaterals, isosceles…

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Q: 3. Given four points, A, B, C, and D, no three of which are collinear and such that any pair of the…

A: NOTE:- AS PER BARTLEBY GUIDELINES WE ARE ANSWERING FIRST THREE QUESTIONS FOR YOU AS PER BARTLEBY…

Q: (B) Suppose that a tree T with 14 vertices and 27 edges and the each vertex degree is 3, 4, and 5.…

A: To find the vertices of T having degree 3 and 5___

Q: Use Euler's Formula to find the missing number. Vertices: 16 24 Edges: 37 22 Faces: ? 23 26 ABCD

A: Use Euler's formula to find the missing numbers.     Vertices : 16      Edges : 37      Faces : ?

Q: A connected simple graph has five vertices (each of degree four). Into how many regions is the plane…

A: Given that  A connected simple graph has five vertices each of degree four.  To find The number of…

Q: A pyramid has 157 vertices, how many edges does the pyramid have?

A: A pyramid has 157 vertices, how many edges does the pyramid have?

Q: 8. What is the area of a rectangle with vertices located at (– 1, 1), (– 1, – 4), (5, – 4) , and (5,…

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Q: How many edges and vertices are there in KA ? a) 6 Edges and 4 Vertices b) 6 Edges and 5 Vertices c)…

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Q: 12. Find the number of edges in spanning tree for the graph in Fig.5. a) 5 b) 6 c) 4 d) 8 e) 3 Fig.5

A: Complete graph is given , we have to number of edges of spanning tree

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Q: A polyhedron (not regular) has 10 vertices and 6 faces. How many edges does it have? edges

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Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

A: We solve the question by using Euler's formula F + V - E=  2, where F is the number of faces, V the…

Q: Given the Venn diagram, shade the corresponding regions. a. A - (B' ∪ C')' b. (A ∪ C')' - B

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Q: how many vertices does a 28-sided polygon have

A: Solution: The objective is to find how many vertices does a 28-sided polygon have.

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A: Given that n≥3. Now consider regular n-gon.  It has partition of n edges into 3 pieces with x edges…

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A: out of the six points on the circle.

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Q: If there are 10 vertices in a tree, there must be edges. O 10 O 9 O 11 O 8

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Q: 4. How many edges in the union of the graphs in Fig.1 and Fig.5? a) 25 b) 23 c) 21

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Q: 9. A planar graph has faces (including the external face) composed of eight 3-cycles and eighteen 4-…

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Q: If a tree has 23 vertices, then its total degree of the vertices is O 44 O 22 O 23 O 42 O none of…

A: If we take the sum of all the degrees, each edge will be counted twice. Hence, for a tree with n…

Q: Use Euler’s Formula to find the missing number of faces, edges, and vertices a) Faces = ?, Edges =…

A: Euler's formula is: F + V = E + 2, where F=the number of faces, V =the number of vertices, and E =…

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Q: On average, how many components does a rooted forest on [n] have

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Q: O A planar triangulation is constructed from a planar graph, and adding edges without edge…

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Q: of edges in a circulant graph Circ[n, {k,l}] the comand CirculantGraph[n, {k,l}].

A: Given:- Circ[n,{k,l}] To find the number of edges in the circulant graph.

Q: How many edges are contained on the following figure below? О 15 O 7 О 12 О 10

A: from the given figure, we have to find the number of edges used

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Q: If G is a forest with 30 vertices and 6 con- nected components, then how many edge does G have?

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Q: Given the Venn diagram, shade the corresponding regions.

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Q: A leaf node in a tree or forest is an isolated vertex. (True means Doğru; False means Yanlış) Birini…

A: A leaf node in a tree or forest is an isolated vertex.