Which of the following graphs has seven vertices and exactly one bridge? O A. O B.

Q: Consider the graph as shown in figure and determine the following: Pendant vertices, pendant edges,…

A: 1. Pendant vertices are d,e,f,g Pendant edges are ad edge,eb edge,fb edge,gb edge, Odd vertices are…

Q: In a simple graph there can two edges connecting two vertices. True O False

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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 DOES NOT have a Hamilton circuit? Select one: a. b. w C. D E G F 3d. A…

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

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Q: E FO Figure 1

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Q: For a complete graph, match the number of Hamilton circuits for a given vertices. n = 3 n = 4 6 n =…

A: Hamilton Circuit : A circuit that must pass through each vertex of a graph once and only once. Being…

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 graphs have Euler circults or Euler trals? OA: Has Euler trail. DA: Has Euler…

A: Solution: Given that

Q: 33. Which of the following statements is/ are true? I. Adding an edge to a path graph will always…

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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: Which of the following vertices are adjacent. 7

A: If two vertices are connected by an edge, they are adjacent Check the given vertices 3 and 2 are…

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

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Q: What vertices are on each level in this graph, if we take s = 2?

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Q: In which of the following graph can red or blue be assigned to the vertices such that no two…

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Q: If a graph has 8 vertices, then what is its order? Answer:

A: We have given a graph which has 8 vertices. We know that  Order of a graph is cardinality of…

Q: Draw a graph that represents this information, where each vertex represents a phone company and an…

A: Graph drawing

Q: 8. Which one of the following statements is NOT true about this graph? B E Figure 1 OA) There is a…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: There are _____ number of vertices in a graph 6 edges if each vertex is of degree 3.   a. 3…

A: From drawing the graph it is clear.

Q: Which of the following statements about a connected graph is always TRUE?         A path of…

A: Solution: From the definition of the connected graph there should be path between any two pair of…

Q: 6. Which of the following pairs of graphs are is (а) (b) 5 3

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Q: 8. Which one of the following statements is NOT true about this graph? B E F Figure 1 OA) There is a…

A: Definition: This is a circuit because a path which ends at the vertex it begins. Given graph is…

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: 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: Which of the following graphs have Euler circuits? K R DA: Has Euler circuit. OB: Has Euler circuit.…

A: We will find out the required graph.

Q: Which of the following graphs are bipartite? I

A: A graph is bipartite iff graph does not contains any odd cycle.

Q: Consider the following graphs over the vertices {a, b, c, d, e, f}. Which of them contain Euler…

A: Given- Consider the following graphs over the vertices a, b, c, d, e, f To find- Which of them…

Q: Which of the following is NOT a circuit in the graph? * A C. F E O cc O ABFEA BFDCB O None of the…

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Q: 6. Which of the following bipartite graphs are complete bipartite graphs? (a) (b) (c)

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Q: Consider the following graph that represents Facebook "friends": Joe Bill Jose Amit Mary Find the…

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Q: Create a graph with six vertices and exactly two bridges. Which of the following graphs has six…

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Q: What kind of symmetry do the following graphs have, if any? (3) (4) 1. (5) (6)

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Q: 10. Determine whether the given graphs are bipartite or not. а. b. b d

A: Graph theory, bipartite graph

Q: Which of the following graphs contain an Euler path? Which of the following graphs contain an Euler…

A: Euler path: An Euler path is a path that uses every edge in a graph with no repeats. Being a path,…

Q: In a connected planar graph drawn with no intersecting edges, if there are 3 vertices and 8 edges,…

A: We can use the Eulers formula for the planar graph to find the number of faces.

Q: Which of the following graphs has four vertices and exactly one bridge? O A. O B. OC.

A: I have given an answer in step 2.

Q: 1? In the following graph, how many vertices are there in the degree 1.5 egocentric graph centred on…

A: Given 1.5 egocentric graph. From the graph: Total number of nodes in the graph=12. Number of…

Q: (b) A planar graph has 10 edges and its dual graph has j edges, for some integer j. What is this j?…

A: Use the properties of planar graph and their dual graphs. Use the relation between the number of…

Q: Which of the graphs below have Euler circuits? 1) I only 2) II only 3) both I and II 4) neither…

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Q: San Francisco $45 L.A. $100 $45 $25 $75 $80 Denver $20 Chicago Dallas $90 San Diego How many edges…

A: Solution

Q: Which of the following is true for the undirected graph given below? be A. The cut vertices of the…

A: Given- Consider the given undirected graph, To Find- If threre are any cut vertices or it is…

Q: Does each of these lists of vertices form a path in the following graph? If yes, what are the…

A: We know path is a sequence of {finite or infinite} edges that joins the vertices Length is the…

Q: Which of the following edges do we need to add to make the following graph ergodic? 3 4 O 2->3 O…

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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: Determine which of the graphs below have Euler circuits. Vo Vg VI 3 m (US S 5 e6 4 33 V3 Ug (US 27…

A: Euler circuit: An Euler circuit starts & end at same Vertex Here in the given problem we have to…

Q: Which of the following graphs has an Euler circuit? II Oa lonly Ob Il only O C. land II O d. Il and…

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Q: 1. Which of the following is NOT a circuit in the graph? A B E Figure 1 А) СВЕС B) ABEA C) BCDCB D)…

A: (1) First we have to know about a circuit in a graph. Circuit: A circuit is a path which ends at the…

Q: What is the number of connected components for each of the following graphs? (a) b a d

A: A connected component of an undirected graph is a maximal set of nodes such that each pair of nodes…

Q: .Given the following degree of the vertices of an undirected graph H = {4,1,5,3,4,3}, we can…

A: Sum of the degrees is 4+1+5+3+4+3=20, which is even. So H is a graph. Therefore, option C is not…

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

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