13. Determine whether the following graph is strongly connected. b.
Q: - Consider the following graph:
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Q: Which of these graphs are trees? b) d)
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Q: 2. Show that the following graph is not planar. USM 1999 083 IVERS
A: Given- To show that the given graph is not planar.
Q: Can the following graphs drawn in plane without edge crossings? a
A: Given: Graphs, To determine: Whether the given graphs can be drawn without crossing.
Q: 3. а) Define the following terms as used in graph theory: i) regular graph ii) simple circuit
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Q: Consider the following two graphs: G1 V1 = {a,b,c,d,e, f, g} E1 = {{a,b}, {a,d},{b,c}, {b,d}, {b,…
A: Given- Consider the following two graphs: G1 V1 = a, b, c, d, e, f, g E1 = a, b, a,…
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Q: How many connected components does the following graphs have?
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Q: Let G be a graph without loop. If G has 6 vertices and 20 edges then the minimum number of edges…
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Q: Consider the following graphs, each with vertex set V = {1, 2, 3, 4, 5, 6}, G = (V, E1), where E…
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Q: When n = 3, there are nonisomorphic simple graphs.
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Q: 9. Verify that Euler's formula does not hold for a graph that is not connected: count the vertices,…
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Q: 4. Recall that a cut-vertex of a graph G is a vertex of G whose removal makes the graph dis-…
A: Definition: A vertex whose deletion along with incident edges results in a graph with more…
Q: 1. Determine and discuss which of the following graphs are connected or disconnected. a) 13 O 15 x6…
A: There is no such introduction for the solution.I have explained it within the solution.Please go…
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…
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Q: 1. List five situations from everyday life in which graphs arise naturally.
A: Definition of graph: The diagram showing the relation between any two quantities.
Q: Q. Rrove 8 the Sum of valancies of vertices of . a graph Vo is bwice Ahe number of elges
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Q: 1. Which of these graphs are trees? а) b) (p f) 2. Which of these graphs are trees? а) b) c)
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Q: 8. Which one of the following statements is NOT true about this graph? F D Figure 1 O A) There is a…
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Q: 4. Show that the following graph contracts to the Utilities Graph.
A: Given: 4) a graph To show: Given graph contracts to the utilities graph.
Q: 6. Which of the following pairs of graphs are is (а) (b) 5 3
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Q: 8. 1 Use Kuratowski's theorem to prove that the following graph is not planar.
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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: 13. Referring to the following graph. Find the number of Edges.
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Q: 1O Draw the f llowing graphs:
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Q: B: Fined the dual graph for Jollowing graphs the
A: Given
Q: 4. Is the following graph strongly connected? If not, is it weakly connected? 1
A: Digraph: strongly and weakly connected
Q: Are the following 2 graphs isomorphic? Discuss your answer with appropriate reasoning.
A: Given two graphs. From the first graph, d(u1)=3d(u2)=3d(u3)=2d(u4)=2d(u5)=3d(u6)=3
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Q: 20 8. Compute the crossing number for each of the following graphs.
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Q: 9. (a) Draw a simple graph (no loops or multiple edges) with vertex degrees 2,3,3,3,4,4,4,5 (b) How…
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Q: 1) Sketch the graph and test the symmetry of the following : r =10
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Q: Answer T if the graph or tree exists as described and F if it does not. 1. Connected graph with 9…
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Q: 7. Consider the following graph of S«). y
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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: Answer the following questions based on the given graph. B D. E F H. Number of vertices of the given…
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