0 . Identify whether or not the following graph is strongly connected or weakly connected. the graph is not strongly connected, identify the strongly connected components. 2 3 5 4

Q: a) 72 b) 36 c) 144 d) 60 Let G be a graph with 12 vertices each of degree 6, then how may edges are…

A: We know that , G is said to be a graph if it has vertex set V and edge set E. We have given that , G…

Q: 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1

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Q: 3. ..) Determine if the following simple graphs exist. If so, draw such a graph. If not, explain why…

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Q: Which of these graphs are trees? b) d)

A: A tree is a connected graph which has no cycles in it. Equivalently, A connected  graph of n…

Q: Which of the following graphs represents (x + 1)² = 8(y - 3)?

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Q: If a complete graph has 6 vertices, then the number of edges are ______     a. 10     b. 15…

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Q: Consider a 4-regular undirected graph that has 5 vertices. How many edges are there?

A: Concept:

Q: Which of the following is NOT a circuit in the graph? * А B F E D CC ABFEA BFDCB None of the Above

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Q: A group of friends is represented by the graph at the right. An edge connecting two names means that…

A: The graphical representation can be used to define daily activities. The graphs simplify the complex…

Q: Which of the following graphs represents y = 3sin(2x)? 32 /2 2/2 3/2 2x

A: NOTE: Refresh your page if you can't see any equations. . compare this function with  so here we…

Q: Which of the following points belongs to the graph? (3, 6) O (4, 7) O (-4, 6) (-5, 9)

A: Given-  To find- The points from the options which belong to graph

Q: Which of the following is NOTa circuit in the graph? * A B C F E D CC O ABFEA BFDCB O None of the…

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Q: Which of the following is NOT true of the graph of ? 6 5 4 3 2+ 1+ 1 3 4 5 6 9 10 -1 -2 -

A: Given graph of y = f(x) Since f(x) = 0 for some x so the function has vertical asymptote

Q: How many edges has each of the following graphs: (i) K10; (ii) K5,7 ; (iii) Q4: (iv) Wg; (v) the…

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Q: Two graphs G1 (V1, E1) and G2 = (V2, E2) are equal if and only if O V = V2 and E, = E2. O Vị = V2. O…

A: We know two graphs are equal iff  they have  the same vertex set and the same set of edges. such…

Q: II. The table below lists five mobile phone companies and indicates whether they have agreements to…

A: Vertex is where two or more edges meet. The edge between two vertices represents the roaming…

Q: 3 kids signed up for trip- van will hold only 7 Which graph shows value for extra students that need…

A: 3 kids signed up for trip- van will hold only 7 Which graph shows value for extra students that need…

Q: (b) Could the information as reported be displayed as a circle graph? Explain. Hint: Other forms of…

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Q: Q17. Consider the graph with the following vertices, edges, and weights (weights are stated as the…

A: First highlight the weight of each edges in graph. A spanning tree is a sub-graph of an undirected…

Q: Draw a graph that represents this information where each vertex represents a student and an edge…

A: In the graph the vertex represents student and edge indicates two students study together.

Q: For a given graph G having n vertices and e edges which is connected and has no cycles, which of the…

A: Answer : (A)  Hence,   n = e + 1 is the true statement.

Q: An edge of a connected graph is called a bridge if deleting the edge causes the graph to no longer…

A: Hint: An edge of a graph is called a bridge if deleting the edge makes the connected graph…

Q: Which of the following is NOT a circuit in the graph? B E F D CC OABFEA OBFDCB O None of the Above

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Q: Answer the questions in (a)-(g) for the following graph. (Enter your answers as comma-separated…

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Q: Consider the following pairs: (1,2), (2,-2), (3,1), (-2,1), (-3,-2), (1,1) Nhich of these pairs is…

A: Answer and explanation is given below...

Q: Which one of the following statements is NOT true about this graph? А B F C E D There is a circuit…

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Q: The diagram below shows a directed graph. b a e g f (a) What is the in-degree of vertex d? (b) What…

A: In this question we are asked to find the tail, self loops. Also we need to find whether given…

Q: Q. Rrove 8 the Sum of valancies of vertices of a graph V is bwice Ahe nunber o f ealges

A: The valence of a vertex in a simple graph is the number of edges at the vertex

Q: The diagram below shows a directed graph G. b d a e g f (a) Is (a, b) in G2? Solution v (b) Is (b,…

A: As per our company guidelines we will solve first three questions only. If you want other parts to…

Q: For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph…

A: The number of Hamilton circuits of a graph are 12n-1! Where n is the number of vertices.

Q: Consider the following graph. (Enter your answers as comma-separated lists.) A graph with 5 vertices…

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Q: 42. Which of the following graphs contains a cut-vertex? A. Complete graph K3 B. cycle C4 C. path P2…

A: Sol

Q: Shiw that the following graph contracts to K5

A: Given

Q: Which of the following is graph of 25 1? 16

A: To find the graph of x225 - y216 = 1.

Q: 4. For the graph below identify a cut vertex set and a cut edge set e

A: A cut vertex set (or cut edge set) is a set of vertices (or edges) such that Removing all vertices…

Q: c) Identify the following graph if it is bipartite or not. Give reasons. A 1B E D

A: Consider the given graph. It has 6 vertices A, B, C, D, E and F and 7 edges AF, FE, ED, DC, CB, BE…

Q: Which one of the following statements is NOT true about this graph? F Figure 1 C) It is a connected…

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Q: D E B F G Consider the graph given above. Give an Euler trail through the graph by listing the…

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Q: Q17. Consider the graph with the following vertices, edges, and weights (weights are stated as the…

A: We use kruskal's algorithm to find the total weight of minimum spanning tree.

Q: Consider the following graph; 0 Which of the following graphs are subgraphs of the graph above? A.…

A: Given: A graph, To determine: Which of the following are subgraphs of given graph.

Q: Which one of the following statements is NOT true about this graph? A B F C E O There is a circuit…

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Q: List all reduced subgraphs with 4 vertices for the following graph. e2 €3 e6 €4 e5 d e7

A: A graph H is called a sub-graph of G if, VH⊂VG EH⊂EG IH is the restriction of IG to EH

Q: The diagram below shows a directed graph. b d a g f (a) What is the in-degree of vertex d? (b) What…

A: Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want…

Q: Which of these graphs have the property that the removal of any vertex and all edges incident with…

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Q: Consider the following two graphs G1 = {{a, b, c, d, e, f}, {ab, a f, ae, bc, bf, be, cd, cf, df,…

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Q: 7. Create a graph that describes the map. Poland Germany Czech Republic Slovak Austrias Hungery…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Suppose there are ten Middlebury College students in a room. One of those ten is friends with all of…

A: We are given the following information, There are 10 students in a room. One of them have…

Q: Which of the following graphs are not trees? M'VA b d

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