What is the out degree of each node of G₁? What is the in degree of each node of G₁? Could G₁ be a bipartite graph? If no, why? If yes, what is the partition into two subsets of nodes that makes this a bipartite graph?

Q: 6. Explain why do the two diagrams at the right represents a same graph? Draw another representation…

A: If there is a line from A to B , then B is Neighbour of A. Similarly , we can draw the table of…

Q: 3. Determine if the following graph is a bipartite graph. Write each partite set.

A: A graph G is bipartite if and only if all cycles in G are of even length.

Q: What is a bipartite graph? Describe it in your own words.

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Q: The graph G is a planar connected graph. It has 23 edges, and 8 faces. How many vertices does G…

A: I have given the answer in the next step. Hope you understand that

Q: 7. Is this the graph G planar? If so, then determine the faces and the edges.

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Q: G – v3 G- v2 G – v4

A: A graph consist of Set of vertices and edges A subgraph W of a graph G consist of subset of edges…

Q: Is it possible for a graph with 35 vertices and 100 edges to be planar? O Yes O No

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Q: Draw the graph of K2,3 XK₁, 3 (without intersection,

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Q: Please draw a graph that is a proper subgraph of the following graph (by "proper subgraph", I mean…

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Q: Is this graph even odd or neither

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Q: How to determine if a graph is euler or not

A: Calculate the degree of all vertices of the given graph

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

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Q: Time Management You are planning what to do after school. You can spend at most 6h daily playing…

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Q: what is a separating And give or vertex cut of a graph ? example. an

A: In a commA separating set or vertex cut of a graph G is a set S which is subset of vertex set of G…

Q: SD a strongly connected graph? D: W

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Q: Give an example of a bipartite graph on 10 vertices that is (a) 2-regular; (b) 3-regular; (c)…

A: (a) 2-regular (b) 3-regular

Q: components of G+14P¡ is

A: Number of components in P1 is 1. So number of components in 14P1 is 14.

Q: Determine all bipartite graphs G whose complement G is also bipartite.

A: Let G be bipartite, with bipartitions: B1 and B2. Then any three vertices in B1 will form a triangle…

Q: If G1 is a simple graph with 20 edges and G has 25 edges, how many vertices does G1 have?

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Q: 1. In the sketch below is the floor plan of a house showing the rooms and the doorways. Is it…

A: It is impossible   1. Suppose you have drawn such a line and follow      it from one room to…

Q: Determine the planarity of the following graphs. G₁ G₂ G3

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Q: Use the pigeonhole principle to prove that a graph has at least two vertices with the same degree

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Q: Show that every simple finite graph has two vertices of the same degree.

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Q: Determine which of the following is a bipartite graph.

A: The given graph is, . A graph is said to be a bipartite graph if only two colors are used to color…

Q: c) Represent the graph |z-412 |z|

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Q: What does the degree of a vertex represent in an academiccollaboration graph? What does the…

A: Definition Used-  In a graph, Degree of a vertex is equal to the number of edges that are incident…

Q: Determine whether the graph is even,

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Q: a. The complete graph K4. b. The bi-partite complete graph K3,3 ("houses and utilities")

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Q: Write an example of three graphs (each with 4 vertices), two of them are isomorphic and two are…

A: We will draw three graphs on four vertices among which two are isomorphic and two are non…

Q: Is the following graph bipartite? Why or why not? Justify your answer. d

A: A graph is said to be bipartite graph if the vertex set V can be split into two sets V1 and V2 so…

Q: G11. Can there be a graph with 8 vertices and 29 edges? Justify your answer.

A: see attached image below

Q: Which of the following is the domain of the graph shown below? (-3, 3) [-4, 5] (-4, 5)

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Q: 2. Check whether the following is a bipartite graph or not.

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Q: What are the vertices of ARUVafter being translated 2 units nght and 2 units down? Graph

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Q: In a graph number of vertices are 13 and number of edges are 19, what will be the number of regions…

A: Euler’s Formula : For any polyhedron that doesn’t intersect itself (Connected Planar Graph),the •…

Q: Q12D. Assess whether the statement is true or false: The graph shown is not a tree.

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