graph of a polynom Tv

Q: 3. Find the tree and tree cover of Petersen graph. ***** *****

A: The Petersen Graph

Q: -3 -2 1. -2

A:

Q: in a graph What is the vertex coloring? And give an examples

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Q: (a) Show that in a simple graph with n > 2 vertices, at least two vertices have the same degree.

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

Q: A) Prove the statement: If G is a bipartite graph, then it does not contain cycles of odd length.

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Q: Draw a loop from vertex G. What is now the degree of G?

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Q: Find the number of different m-colorings of the vertices of the following floating figures.

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Q: this graph connected? O Connected ONot Connected

A: Note that the graph is said to be connected if the pair of any two vertices is connected by a path.

Q: Construct a non planar graphs

A: A non-planar graph that is not homeomorphic to K5 and K3, 3:

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: Spanning Trees Create 2 different spanning trees of the following graph.

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Q: . A 5-cycle has one edge attached with a vertex of degree 1 to a vertex in the graph. What is the…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Are these graphs isomorphic? Yes because they have the same number of vertices Yes because they have…

A: Two graphs G1 and G2 are isomorphic if there exists a matching between their vertices so that two…

Q: How many vertices have an even degree?

A:

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: 3. In a planar drawing of a graph, each face is bounded by a circuit. Make a planar drawing of a…

A: New graph equivalent to given graph.In which bordered by A-B-C-G-F-Ais in the infinite face.

Q: A forest contains 39 vertices and 36 edges. How many connected components does the graph have? 72

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Q: 7. Check whether the given graph is Bipartite or not. Explain. Also construct a proper subgraph from…

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Q: Faces: 20  edges: 30 vertices: ?

A: Given, Face= 20 Let the base be x. We know that, Face= x+2= 20 Therefore, x= 18 We also know that,…

Q: True or false. A tree is a complete graph. O True O False

A: Given that  A tree is a complete graph.

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

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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: graph O - IKI

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Q: iii) Show that the sum of the degree of all vertices in a graph is an even integer.

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Q: 4. Graph the inverse of the functton graphed eldw.

A: The image of a function with respect to y=x is the inverse of that function.

Q: 1. Let G be a complete graph with n vertices. a. How many edges does G have? Explain why. b. What is…

A: Solution of given problem as follow:

Q: A graph G is given. How many different spanning trees (not necessarily non-isomorphic to each other)…

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Q: 3. Draw the largest hypercube graphs which is planar.

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Q: 14)  A graph G is called maximal planar if G is planar but the addition of another edge between two…

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Q: A forest is an acyclic graph. (a) Find a graph on 6 vertices and 4 edges that is a forest. (b) Find…

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Q: A sequence of vertices such that each vertex is adjacent to the next vertex is called a(n) a. length…

A: Given question, A sequence of vertices such that each vertex is adjacent to next vertex is called…

Q: If a graph has 5 vertices then 'By the Handshaking Theorem', each vertex can have degree 9. True…

A: Given: Statement: If a graph has 5 vertices then by handshaking theorem, each vertex can have degree…

Q: 9. A planar graph has faces (including the external face) composed of eight 3-cycles and eighteen 4-…

A:

Q: 5. For any graph G with six vertices, then G or its complement Ġ contains a triangle.

A: The solution for the above question is as shown below.

Q: Draw the graph of four-dimensional cube. How many edges and vertices are there?

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Q: Show that every simple graph on n vertices subgraph of K.

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Q: 4. Draw the smallest hypercube graphs which is non plan

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Q: Graph with four vertices of degrees 3 3 5 5

A: Graph with four vertices of degrees 3 3 5 5

Q: what is the vertex cover And give examples

A: We have to define the Vertex cover  and example.

Q: 3. Draw all the simple cubic graphs with at most 8 vertices.

A: A graph with all vertices of degree three is called cubic graph.

Q: ) An edge of a connected graph is called a bridge, if removing this edge makes the graph…

A:

Q: Show that any graph with at most 8 vertices is planar?

A: Given: planar graph

Q: Which one of the following graphs is a Pseudograph?

A: Definition: An undirected graph which consists multiple edges and self loops is called as…

Q: complement.

A:

Q: For the graph shown find a spanning tree for it. Draw the spanning tree then scan or photograph it…

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Q: Two simple graphs are if there is a bijection from the vertices of the first graph to the vertices…

A: To fill the correct answer in the blank space.

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: 8. (a) A graph has six vertices, every two of which are joined by an edge. Each edge is colored red…

A: (Note: We are entitled to solve only one question at a time) To Find: a. A graph has six vertices,…