What do the in-degree and the out-degree of a vertex in adirected graph modeling a round-robin tournament represent?

Q: In a round-robin tournament the Tigers beat the BlueJays, the Tigers beat the Cardinals, the Tigers…

A: Directed graph: A directed graph is a graph in which a set of objects are connected together such…

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

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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: Sketch an undirected graph with the following vertex degrees 3,3,3,2,1 if it exists

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Q: A 4-partite graph is bipartite. True or False

A: False

Q: Among each pair of the CEOs of N companies there is (a) mutual like; (b) mutual dislike; (c) neutral…

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Q: d. A graph with four vertices and six edges which is not simple (explain why it's not simple).

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Q: how do i eulerize a graph

A: The objective of the question is to understand how to Eulerize a graph. Eulerizing a graph involves…

Q: what is the fuzzy graph theory and give examples.

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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: show that a simple planar connected graph with 17 edges and ten vertices cannot be properly colored…

A: We can solve this using Euler theorem

Q: Which graph has a matching?

A: We use definition of matching.

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: How can one prove a graph is connected?

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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: How many possible ways can you draw a graph using 5 vertices? Show all steps of your calculation.

A: To find the number of possible ways to draw a graph using 5 vertices.

Q: what is the edge - connectivity in a graph ? And give an example

A: Edge - Connectivity in a graph : Let ‘G’ be a given connected graph.Then the minimum number of edges…

Q: A) Draw graph G with vertex set V (G) = {V₁, V2, V3, V4, V5, V6, V7} and edge set E (G) = {V₁V4, V₁…

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Q: This is a Graph Theory problem. Which trees are planar? Explain why

A: A tree is a connected graph with no cycles. A planar graph is a graph which can be “drawn” or…

Q: an end vertex in graph B an isolated vertex in graph B

A: Given as, B= { 4, 1, 5, 3, 4, 3}

Q: True or False: A graph in which every edge is a bridge is necessarily a tree.

A: True

Q: Among connected simple graphs who sum of vertex degrees is 20: (a) What is the largest possible…

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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: Construct a simple graph with vertices V, W, X, Y whose degrees are 1, 2, 0, 1 What is the edge set?

A: Solution:

Q: Construct a simple graph with vertices H, I, J, K whose degrees are 1, 1, 0, 0 What is the edge set?

A: Simple graph: A graph that does not have more than one edge between any two vertices and no edge…

Q: (c) The complement of the graph:

A: The complement or inverse of a graph G is a graph G¯ on the same vertices such that two distinct…

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

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

Q: in a graph What is edge cut ? And give an example

A: Solution:-

Q: Chess is a board game, where the board is made up of 64 squares arranged in an 8-by-8 grid. One of…

A: Chess is a board game, where the board is made up of 64 squares arranged in an 8-by-8 grid. One of…

Q: what is the vertex cover And give examples

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