1. Let a graph have vertices s,t,u,v,w,x and edge set {{s,u},{s,w},{t,w],{t,x},{w,x}}. How many connected components does the graph have? 2. Let a graph have vertices O,P,Q,R,S,T,U and edge set {{O,P},{O,R},{P,T},{P,U},{R,U},{S,U}}. How many components does the graph have?

Q: Construct a graph with vertices P, Q, R, S, T, U, V that has an Euler path, the degree of R is 1 and…

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Q: What is the classification of a figure with vertices X(-5,2), Y(-5,-3), and Z(3,-3)? 4.

A: Here we have to classify of a figure with vertices X(-5,2); Y(-5,-3) and Z(3,-3)

Q: 29. Let G be a graph with vertex set VG and edge set Ec. Let V C VG and EC EG. Is there always a…

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Q: construct a graph with vertices Q,R,S,T,U,V,W that has an Euler path and the degree of U is 1 and…

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Q: 23. If a planar drawing of a graph has 15 edges and 8 vertices, how many faces does the graph have?

A: Answer :- We know from the Euler formula that  v+f =e+2

Q: 1. Below is a drawing of a graph G = (VG, EG), and then the vertex set and edge set of a graph H…

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Q: If G1 and G2 are isomorphic, must they have the same number of edges? If G1 and G2 have the same…

A: If G1 and G2 are isomorphic then they must have the same number of edges.But if G1 and G2 have same…

Q: Let a graph have vertices E, F, G, H, I, J, K, L and edge set {{E, H}, {F, J}, {F, K), (G, H}, {G,…

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Q: 14. Let G be the graph with vertices v1, v2, and v3 as shown below. What is the number of walks of…

A: Walk :- A walk in graph is a sequence of vertices and edges.

Q: Let a graph have vertices K, L, M, N, O, P, Q, R and edge set {{L, M}, {L, O}, {L, P), (L, R}, {M,…

A: Given that a graph have vertices  and following edge set..We need to find the degree of vertices .We…

Q: Ka , Ks , Kn? How many edges in

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Q: Assume you have a graph with vertex set V = {A, B, C, D, E} and edge set E = {CD, CB, DA, DB, EA,…

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Q: Consider a directed graph where V= (a, b, c, d) and E = {(a,b), (b,c), (c,d), (a,c), (d,b)}. How…

A: Given: A directed graph G=V, E. V=a, b, c, d and E=a, b, b, c, c, d, a, c, d, b. To find: The number…

Q: 14) Convert y = x- x-12 to vertex format.

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Q: Which one of the following is not a trail from vertex x to vertex y for the graph G=(V,E), if…

A: In graph theory,Trail is a open walk where vertices may repeat but edges can't .

Q: Find the shortest path in the graph K, from f to c. 3 a 5 3 3 b 5 4 3 2 3 d The shortest path in the…

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Q: Draw diagrams for grid graphs Gm,n that is D(Gm,n) for all Gm,n with m≤ 7 and n ≤ 7 including…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Construct a simple graph with vertices F, G, H, I,J that has an Euler circuit and the degree of F is…

A: A graph is said to be simple if it has no loops and parallel edges. Degree of a vertex of a graph is…

Q: 3. Draw the directed graph that represents for R = {(a, a), (a, b), (b, c), (c, c), (c, a) (c, b),…

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Q: If OA, OB and OC are three edges of a parallelepiped where O is (0,0,0), A is (5,9,-3), Bis (2,-1,5)…

A: To find the coordinates of the other four vertices (D, E, F, and G) of the parallelepiped, we can…