iph exists. 1. Graph with six vertices of degrees 1,1, 2, 2, 2,3. 2. Graph with four vertices of degrees 1, 2, 2, 5.

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

A: In this question, concepts of Vertices and Bridges are used. Vertices and Bridges A graph is made up…

Q: A graph with 15 edges with 5 vertices having degree 2. The other vertices have degree 4.

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Q: 41. Vertex e is OA) an incident vertex OB) insecure vertex OC) isolated vertex OD) adjacent vertex

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Q: d) The number of vertices of degree 4 is. e) The sum of the degrees of G is.

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Q: 2. How many edges has each of the following graphs: (а) (5 рoints) К10: (b) (5 рoints) K,7; (c) (5…

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Q: -3 9-8-7-6-5 -4-3 -2 -1 12345 6 7 8 9 -2 Which equation is best represented by this graph? y +2 = {…

A: By point satisfaction we find the equation which is best representation by the graph.

Q: Which of the graphs has 4 as its chromatic number? a. graphs 1 and 2 only b. graph 2 only c. graph…

A: Definition: Chromatic number is a number of minimum colours needed to colour the vertex of the given…

Q: 1. Which vertices are even? 2. Which vertices are odd?  3. Which vertices are even? 4. Which…

A: The vertices of the graph which have a degree equal to an even number are called even and the…

Q: 15. (a) Suppose a graph has 5 vertices and 7 edges, and every vertex has degree 2 or 3. How many…

A: The handshaking theorem states that the sum of the degrees of all vertices in a graph is twice the…

Q: Which of the following holds for the graph ? O The graph has six 4-cycles. O The chromatic number…

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Q: a b e Figure 8: A graph with five vertices, a, b, c, d, and e. Verter a is connected to no vertez.…

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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: 6. Solve the travelling salesman problem for the weighted graph shown below. a) PB De b) Bo 8. 63 7…

A: As per our guidelines we are supposed to answer only first one kindly repost other parts in the next…

Q: h a In the graph above, how many connected components are in the subgraph induced by each of the…

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Q: 9. Which edges could be re-used in order to find an optimal Eulerization of the following graph? (1)…

A: The objective is find which edges that could be re-used to find the optimal Eulerization of the…

Q: If a graph has vertices of degrees 1, 1, 2, 3, and 3, how many edges does it have? Why?

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Q: Graph the image of kite KLMN after a reflection across the line y = -1. 10 -10 -8 -4 -2 10 -2 -4 7.…

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Q: 11. Suppose company "Fly to The Moon" has 9 daily flights as follows: a) 103 Atlanta to Houston b)…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 19 Can a graph with three vertices of degrees 2, 1, 4 exist? Yes No

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

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Q: Which of the graph has 3 as its chromatic number? a. graphs 1 and 2 only b. graph 2 only c. graph 1…

A: A graph G is an ordered pair V(G), E(G) consisting of a non-empty set V(G) of vertices and a set…

Q: 14) For each of (a)-(c) below, either draw a graph with the specified properties or else explain why…

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

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Q: 1. Consider the graph in Figure 1. Which of the following statements hold true for the graph? e1 es…

A: Here figure given below,

Q: 1. An "X" in the table below indicates a direct train route between the corresponding cities. Draw a…

A: Given- Let "X" in the table below indicates a direct train route between the corresponding cities.…

Q: 16. Which graph represents the solution of 2x – 3 < 5? "5 2 1 0 5 6 7 4 2 3 4 -6 5 3 2 1 5 7 of "5 3…

A: Given that  2x-3≤5  To graph the inequality graph

Q: 13. Referring to the following graph. Find the number of Edges.

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Q: Let G be the following graph: 6. 7 10 11 12 13 14 15 16 17 a) The number of vertices of degree 1 is.…

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Q: C) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1,…

A: Given: A simple graph of order 11 where the vertices have degrees 1,1,2,2,2,2,3,4,4,6,6.

Q: QUESTION 3 How many edges would a complete graph have if it had 6 vertices? О 25 30 O 20 O 15

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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: The chromatic number of vertex coloring in the graph below is ... В D F A E C 1. O 2 2. О 4 3. ОЗ 4.…

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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: 1) The vertices of AHEN are H(0, 4), E(6, 4), and N(4, -2). AH'E'N' is the image of AHEN after Dox.…

A: If we are dilating a point (x,y) about the origin by a scale factor (dilation factor) of k, then the…

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

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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: (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 following is NOT a circuit 1 point in the graph? * A F E CC ABFEA BFDCB O None of the…

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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: Example 3 Locate the image of AABC with vertices A (-6,5) В (1,2) С (3,7) Reflected over the line x…

A: given A(-6,5)         B(1,2)       C(3,7)

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: 1. Consider the following graph: eg e3 e7 es U3 es es (c) Find the deg(G). Is it possible to have a…

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Q: Question 4. Let K, be the complete graph on n vertices. How many edges does it have? Justify your…

A: Given that, the complete graph kn has n vertices. Number of the edges of this complete graph=nn-12

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

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Q: 1. A. The number of edges in the graph-6 B. Give the number of vertices in the graph- 4 C. Determine…

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Q: The following graph has a Hamilton circuit: 2 13 7 9. 11 10 14 13 12 15 17 16 O True False 00

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Q: 2. A graph has vertices of degrees 0, 2, 2, 3, and 9. How many edges does the graph have?

A: The Handshake theorem states that the sum of the degrees of the vertices of the graph  (that is, the…

Q: QUESTION 14 A graph has 5 vertices: two vertices of degree 3, a vertex of degree 2, a vertex of…

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