3. Draw four graphs as per the following requirement with your own values. Give proper label and title. Graph should be printed in the location as per the following diagram

Q: Construct a graph with vertices P, Q, R, S, T, U, V that has an Euler path, the degree of R is 1 and…

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Q: Decide whether the following statement is true of false. Prove your answer: If two graphs have the…

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Q: Graph Hhe following Civnacons with Inner lap (r= trcaso)

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Q: 1. How many 4-regular graphs are there 10 vertices with 30 edges?

A: A graph is called 4-regular if degree of every vertex in graph is 4. If there is a 4-regular graph…

Q: How many cut vertices does the path Pn has for n ≥ 1?

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Q: How many edges will be there in a complete graph with 13 vertices.

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Q: 1. Create a connected graph having 8 vertices and 15 edges. 2. Label vertices with A,B,C,D,E, F,G…

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Q: Use graphs to find set: (1, 4) ∪ [2, 8].

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Q: Suppose the city of Königsberg had the arrangement of islands and bridges pictured on the left…

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Q: What is the chromatic number and the clique number of a Knm graph? Your answer may depend on the…

A: Here Km,n is complete bipartite graph.

Q: Can we draw a planar graph with n= 7 and e = 12 such that each region is bounded by exactly 3-edges…

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Q: How many different labelled graphs are there on the vertex set [n]? Justify your claim.

A: Given Vertex set n Let vertex V=1, 2, 3, ........., n Each graph G with a vertex V is determined by…

Q: 1. Explain the relationship between the number of faces and the number of edges in a triangulation.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: number

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Q: 26. How many edges are there in a graph with 10 vertices each of degree six? (a) 10 (b) 20 (c) 30…

A: We need to determine the number of edges in a graph that has 10 vertices each of degrees 6. We will…

Q: 4. Count the number of vertices, edges, and faces, and then verify Euler's Formula for the given…

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Q: 15 Total number of edges of a complete graph which has 9 vertices is 36 edges None 12 edges 18 edges…

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Q: How many different simple graphs are there om the vertex set [n]?

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Q: Explain why graphs with the given specification do not exist. 1. Tree, twelve vertices, fifteen…

A: A tree on n vertices had n-1 edges.

Q: Which graph is Eulerian? А. D С. D. H. B.

A: To identify which graph is Eulerian.

Q: The number of simple directed graphs with 3 labeled vertices and having exactly 3 edges is Select…

A: Sol

Q: A. Find the number of vertices, the number of edges, and the degree of each vertex of the following…

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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: Determine the number of distinct unlabeled simple graphs (not necessarily connected) up to 4 nodes.…

A: To determine the number of distinct unlabelled simple graphs upto 4 nodes.

Q: Determine (a) the number of edges in the graph, (b) the number of vertices in the graph, (c) the…

A: Given the graph

Q: If a Bar graph is drawn with the data as per the list given below then the minimum height of the…

A: We will draw bar graph between No of workers and section. No of workers will decide the height of…

Q: 7. Find whether the graph below has an Euler trail. If it exists find such a trail.

A: Euler trail: A Euler trail is a trail such that uses every edges of a graph exactly once and starts…

Q: Compute the following combinations. a) (4). (3500) b) (3499)* State the answer using combinations.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: We say that two distinct edges in a graph are adjacent if there is a vertex incident to both (the…

A: Solution

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

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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: How many vertices will the following graphs have, if they contain: (a) 18 edges and all vertices of…

A: According to the rule I only do the first three

Q: What is the smallest number of colors you need to properly color the vertices of a Km,n graph? What…

A: Consider the lemma: A bipartite graph with at least one edge has chromatic number 2. It is known…

Q: Refer to the graph attached, and answer the following 1. What is the length of the path2. A – B – D…

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Q: 1. What's the max number of edges you can put on 6 vertices without creating any triangles?

A: In graph theory, a tree is a connected acyclic undirected graph. Tree with n vertices has n-1 edges

Q: Compute the following combinations. a) ("). 3500 (3499, State the answer using combinations. c) The…

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Q: Draw a complete graph using five vertices a, b, c, d, e.

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Q: Identify 3 different paths in the graph below. es en Path 1: Path 2: Path 3:

A: A graph is given. We need to find three different paths.

Q: 4.Suppose the city of Königsberg had the arrangement of islands and bridges pictured on the left…

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Q: 10. If we have two different non-crossing drawings of the same connected graph, is it possible for…

A: 10. For a connected planar graph, the below equation is always followed.        v - e + f = 2 Here,…

Q: 4. Draw the following graphs:

A: Part b,Given,           fx=x2       if x<13-x  if x≥1

Q: Find a matching for the bipartite graphs below or explain using Hall's condition, if no matching…

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Q: 1. Draw the following: a. Complete graph with 4 vertices b. Cycle with 3 vertices c. Simple graph…

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

Q: By duplicating only 2 edges, Eulerize the following graph:

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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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Q: 71. Answer the following questions for graph G below, which was created to represent the roads of a…

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Q: give 5 graphs with a bond: with I edge 2 edge 3 edğe 4 edge 5 edge

A: To draw the graph with 1 edge, 2edges , 3 edges, 4 edges, 5 edges

Q: Ali sta naslednja grafa izomorfna? Izberite enega: O Drai ONe dr2i

A: Given: Solution: No, the given graphs are not isomorphic.

Q: . The edges in the figure below represent electrical lines that must be inspected and the vertices…

A: According to the given information, it is required to check whether there is an euler circuit in the…