G – v3 G- v2 G – v4

Q: If a simple graph G is having 15 vertices and 5 edges then its complement graph G will have None of…

A: 15 vertices and 105 edges

Q: Based on K1, K2, and K3, which graphs are not simple graphs? b a b. к, у K2 Y K3 Y K, and K2 a b K2…

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Q: write a piecewise fucntion for the following graph

A: To find:- We need to find piece wise function f(x) from given graph

Q: • Draw the complement graph G Is G a bipartite graph? Why? Compute w(G), a(G)

A: This is a problem of Graph Theory.

Q: Determine whether the following graph is bipartite or not. Justify your answer either by giving a…

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Q: Let G be a graph There are always two vertices of the same order verify that the following graphs…

A: We have  to verify  that in each graph   is there  exists  any two  vertices  of same order  .

Q: For the given graph G, which of the following statements is true? a) G is a complete graph b) G is…

A: According to our guideline we can only answer first question and rest can be reposted.

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: Define the complement of a graph, and find it to the graph P_5.

A: We need to define the complement of graph and find it to the graph P5( path of order 5)

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

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Q: The following graphs are isomorphic Select one: True O False

A: The graph are given above in the question.

Q: Let G be an undirected graph with n vertices. Let A(G) be the maximum degree of any vertex in G,…

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Q: to draw a graph for y=2x+5, a person can draw a point at x of 0 and y of _____, a second point by…

A: Given:

Q: Let G be a simple graph with exactly 11 vertices. Prove that G or its complement G must be…

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Q: Show that if a simple graph G ha

A: To prove that if a simple graph G has n vertices and at least n edges, then G must contain a cycle.

Q: Which of the following graphs represents x = -3?

A: Question: Which of the following graph represent x= -3 ?

Q: Determine if the following pairs of simple graphs are isomorphic. If they are, label the graph on…

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

Q: В. С. D. А.

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Q: Find a self-complementary graph of the complete graph, K8.

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Q: ?Which of the following graphs are isomorphic G3 G1 G2 G3 G1 G2

A: Isomorphism of graphs: Two Graphs G1 and G2 are said to be isomorphic, if there exists a bijection…

Q: 5. Determine whether the given pair of graphs is isomorphic. u2 v2 V3 V4

A: The number of vertices in graph 1= 8 The number of vertices in graph 2 = 8  The number of vertices…

Q: Create a graph for the following:

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Q: What happens to a graph when a is less than 0?

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Q: Out(4) G3. List the set of vertices for the graph above:

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Q: 11. If G is a simple graph with 4 vertices, then the maximum possible value for the sum of the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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: 12. Determine whether each pair of graphs is isomorphic. If yes, then give a one-to-one…

A: In this question, the concept of isomorphism is applied.

Q: draw the folowing: a.k3 b.a 2-regular simple graph c.simple graph with v=5&e=3 d.simple…

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Q: If all the vertices in a graph G have degrees less than or equal to k, then x(G) _ k + 1. Fill in…

A: We can find the upper bound of the chromatic number of the graph if the degree of the vertices is…

Q: For any connected graph G of order 55, if x is a vertex of G, then the number of components of G-x…

A: A connected graph is graph that is connected in the sense of a topological space, i.e., there is a…

Q: Consider an undirected, connected, simple graph with n vertices. What are the minimum and maximum…

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Q: a. Prove that the sum of the degrees is equal to twice the number of edges. b. Check whether it is a…

A: From the graph Degrees of a = 5  b = 6 c = 3 d = 6 As a ,b and d have loop which contribute to two…

Q: Show that for a bipartite graph G we always have w(G) = x(G).

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Q: If G has at least one vertex of degree greater than zero then there are two of even degree as long…

A: This is the problem of graph theory.

Q: [1] Write down the vertex-connectivity K(G) and the edge-connectivity 2(G) for each of the following…

A: Vertex connectivity: The minimum number of vertices required to disconnect the graph G is called…

Q: 0 . Identify whether or not the following graph is strongly connected or weakly connected. the graph…

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Q: Consider the following graph. V3 V1 V2 V4 es The vertex set is The edge set is Fill in the table to…

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Q: Draw all subgraphs of this graph

A: Given: There are 3 vertices, hence there will be 23=8 sub graphs Graph nodes: Nodes is defined as…

Q: If the graph G contains K, as a subgraph, then x(G) > n.

A: The chromatic number of a graph G  with vertex set V(G) is the smallest number of colures required…

Q: For the given graph G, which of the following statements is false? A B) (F a) G is a simple directed…

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Q: Consider the following graph G: Give the degree of each vertex

A: Degree of vertex is the number of edges connecting to that vertex.

Q: Draw these graphs. a)       K1,4 b)       W4

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Q: Q5. Determine whether the following graphs G and G' are isomorphic. If so, give the vertices and…

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Q: =. Find the smallest 3-regular graph G such that (G) 1.

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Q: Let G be a graph with v vertices and e edges. Let M be the maximum degree of the vertices of G, and…

A: We are given a G graph G with v number of vertices and e number of edges in the graph. we are also…

Q: 5) Determine whether the following two graphs are isonmorphic or not. V2 V3 Vg En Ug V4 V7 V6 V5 U6…

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Q: For any connected graph G of order 54, if x is a vertex of G, then the number of components of G-x…

A: Given: To explain the given statement as follows,

Q: What is a(G) if G is a complete graph on n vertices?

A: It is given that G is a complete graph on n vertices. Also provided are some basic definitions about…

Q: Consider the graph G : bh is an edge in G. The order in G-bh is

A: Graph G is given, with vertices and edges.order of G=number of vertices of G