Now consider the graph G given by the following drawing. us 13 Աշ น 16 V6 U5 V3 V2 V1 (d) Show that G does not have a perfect matching.

Q: D E 144 F What is the degree of vertex A B G A

A: The given graph is

Q: Discrete Math-Graph Theory) Let G=(V,E₁∪E₂) be a simple graph such that G₁=(V,E₁) and G₂=(V,E₂) are…

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Q: Q4: Are the graphs given below Isomorphic? Explain v2 uz v5 u6 V6 U3 V3 us V4 Graph2 Graph 1

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Q: Exercise 3: Planar graphs Prove or disprove the following statements. 1. The graph K is planar. 2.…

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Q: Consider the graph below with vertex set {a,b,c,d,e,f,g,h,i,j} b Which of the following are…

A: To check which of the following graphs are  subgraph of above graph.

Q: .34. Consider the graph G in Fig. 8-58. Find: (a) degree of each vertex (and verify Theorem 8.1);

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Q: G: น a X 2 W y 2

A: We know that : A Bipartite graph is a graph whose vertices can be divided into two independent sets,…

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Q: [CLO-2] Assume you have a graph with vertex set V = (A, B, C, D, E) and edge set E = (CD, CB, DA,…

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Q: Which statement is false? a) The slope of AB is -2. b) The slope of CD is 1. 6 5 4 3 2 c) The…

A: Let's find.

Q: V8 00000 V7 B. 02 C. V3 5 D. VA E. 05 V6 3. Let S = {₂}. Which of the following vertices are in…

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Q: a fas=4x- 3X2-90x+23 %3D

A: The graph is below photo

Q: AABC has vertices A(4.5), B(2.1). and C(7.3). Write the equation of the altitude drawn from vertex B…

A: The equation of the straight line passing through A,C is…

Q: Now consider the graph G given by the following drawing. U6 11 u2 Uz us 15 V6 V5 V4 V3 01 ປາ (e)…

A: Detailed explanation: To find a maximum matching in the given bipartite graph 𝐺G, we need to select…

Q: Consider the following graph of G1 and G2: Exihibt a matching of size |A| or show no matching…

A: Given graph are: and: We know that a matching in a graph G is a subset of its edges set, such that…

Q: Why is the graph K, a complete bipartite graph? a y K1 BI U EE s° S,

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Q: 2. Find the dual of the following planar graph. V6 V5 V3 Vị V4

A: The dual graph of a plane graph G is a graph that has a vertex for each face of G. The dual graph…

Q: 6 Determine which of the two drawings, (a) and (b), represents the graph G. 1₂ e2 V3 €4 eg es U7 US,…

A: We find a required drawing of graph G.

Q: Now consider the graph G given by the following drawing. Uz us 15 26 21 12 V6 V5 V4 V3 V2 V₁ (b)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Which of the following graphs are bipartite? R OA OB I в I H OC OD

A: A graph is said to be a bipartite graph if it contains no odd cycle. In graph (A), there are two odd…

Q: 2. For the graph shown to the right, complete parts (a) through (d). (a) Give the vertex set. (b)…

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A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: 27. List all vertices that are adjacent with vertex A.{Note: Type the answer WITHOUT space. Separate…

A: We have given a graph .with vertex set ,  V = A , B , C , D , E. We know that , if two vertices in a…