How many connected components does the following graphs have?

Q: How many distinct unlabeled simple graphs on five nodes with equal to or less than five edges? 0 12…

A: The given question is related with graph theory. Here we have to find the number of distinct…

Q: Find the Chromatic Number of K, the complete graph on 17 vertices

A: See the solution below.

Q: er a 4-regular undirected graph that has 5 vertices. How many edges are ther

A: In this question, the number of edges is to be calculated when a 4-regular undirected graph has 5…

Q: How many vertices do the following graphs have if they contains a) 16 edges and all vertices of…

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Q: Are the following graphs connected? If a graph is not connected, explain why it is not. II

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Q: How many connected components does this graph have? What is the total degree of the graph?

A: From the given graph. We say a connected component is when the number of edge is removed then the…

Q: How many edges does this graph have?

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Q: ne graph of

A: The given straight line intersects the x-axis at the point (1, 0) and the y-axis at the point (0,…

Q: in a graph :is K-chromatic? give an examples

A: Please see the attachment

Q: The following graph is k-edge connected. What is the value of k?

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Q: 3. Determine the edge connectivity and the vertex connectivity of the following graph. Explain.

A: The vertex connectivity is the minimum number of vertex required to remove from graph to make graph…

Q: number

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Q: When n = 3, there are nonisomorphic simple graphs.

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Q: Let G be a complete graph with n vertices. a. How many edges does G have? Explain why. b. What is…

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

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Q: How many edges are there in a graph with 10 vertices each of degree six

A: The sum of degrees of vertices is, 6×10=60. Handshaking theorem: Let G=V.E is an undirected graph…

Q: Let K, be the complete graph on n vertices. a) Draw Kn for n = 1, 2, 3, 4, 5. For each, how many…

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Q: 1.1 How many simple graphs are there of four vertices? Draw all of them.

A: As per our guidlines we are supposed to solve only one question that is the first problem. For the…

Q: Verify the Handshaking theorem of the following graphs

A: To verify : The Handshaking theorem for the following graphs: (a) (b)

Q: 11. Are the following graphs isomorphic? Explain how you know. U2 V2 V5 V3 V4

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Q: what is a complete fuzzy graph And give examples

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Q: Suppose a graph G is connected and haas 106 vertices none of which have degree 1. What is the fewest…

A: We know that The minimum number of edges for undirected connected graph is (n-1) edges. But in this…

Q: a. How many edges are there in complete graph K4,7 b. How many edges are there in complete graph…

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Q: For

A: We use given hint.

Q: From the graph G given below identify the number of vertices and edges 6. A, 8. 4 C. O Vertices 3…

A: We have given a graph and we have to find the number of edges and vertices.

Q: Are the following graphs isomorphic? Justify..

A: We clearly see that the first graph, say G1 contains two 3-cycles [one the smaller inside and the…

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: Which of the following graphs are bipartite? I

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

Q: 1. Create a connected graph having 6 vertices and 11 edges. 2. Label vertices with A,B,C,D,E and F.…

A: Given: 1) Create a connected graph having 6 vertices and 11 edges 2) Lable vertices with A, B, C, D,…

Q: Let G be a simple, connected graph on n vertices (n≥3) Suppose that G has at least one cycle as a…

A: Given, G is a simple connected graph on n vertices with n≥3. G has at least one cycle as a subgraph…

Q: Draw a graph with two loops around vertex e, with end vertices a and f, with multiple edges on…

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Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A: Given, the graph

Q: 4. Is the following graph strongly connected? If not, is it weakly connected? 1

A: Digraph: strongly and weakly connected

Q: Compute the cycle index for the number of non-equivalent graphs with 6 vertices. How many are there?

A: Given:-                 Compute the cycle index for the number of non-equivalent graphs with 6…

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

Q: How many non-isomorphic simple graphs edges? are there with four vertices and 3

A: Detailed explanation mentioned below

Q: for which values of m and n are km,n regular?

A: Given: A simple graph is called regular if every vertex of this graph has the same degree. A regular…

Q: 5. Determine whether the given pair of graphs is isomorphic. Us H G

A: We need to check if both have the same vertices and edges, their degree sequence, and the length of…

Q: How many edges does a complete graph K„ have? Prove / explain your answer.

A: The complete graph Kn is a graph with n vertices such that every there is exactly one edge between…

Q: A В

A: a) The above graph contains the circuits such as A B-G-F-A with four vertices and A-B-H-F-A with…

Q: b) Determine whether there is an Euler trail from vzto V6 in the following graph. If there is, find…

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Q: How many cycles of length 18 are there in the following graph? Draw 3 cycles of length 18 (use a…

A: Consider the given graph: Observe that the given graph has 28 vertices and 40 edges. We need to…

Q: Show all possible connected sub graphs of the following graph. How many of them are there refer to…

A: Given: a graph

Q: How many possible graphs can be created on 5 distinct vertices?

A: Consider a graph of n vertices.The line connecting any two vertices of a graph is called as an edge…

Q: The complementary graph G' of a simple graph G hasthe same vertices as G. Two vertices are adjacent…

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Q: Let K, be a graph obtained from K, by deleting one edge. How many subgraphs of K, are isomorphic to…

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Q: 10. Graph How many edges are there in a graph with 8 vertices of degree 5? If a graph has 7…

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Q: Find the union of the given pair of simple graphs.

A: Concept Used:- Union of two simple graphs G1 =(V1 ,E1 ) and G2 =(V2 ,E2 )  is a simple graph with…

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

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

Q: Draw a graph with five vertices in which each vertex is of degree 3.

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