What is the maximum number of edges you can have in a graph with 7 vertices? Show all steps of your calculation.

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

A:

Q: Is hypercube graph Q4 planar? If not can you provide any bounds on it crossing number?

A: No, hypercube graph Q4 is not a planner graph.

Q: If a graph has 5 edges, how many vertices does it have?

A:

Q: Total number of edges of a complete graph which has 9 vertices is None 12 edges 36 edges 18 edges

A: To find Total number of edges of a complete graph which has n vertices.

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: What is the maximum number of edges in a bipartite graph having 10 vertices? 1. O 25 2. O 16 3. O 24…

A: Option (1).25 is the correct.To solve this we use the property of bipartite graph.

Q: Suppose the city of Königsberg had the arrangement of islands and bridges pictured on the left…

A: Given map is

Q: Suppose G is a simple graph (no loops; no parallel edges) with n = 14 vertices and m = 7 edges. What…

A: GIVEN  vertices n=14 edges m=7 EXPLANATION as we know  every graph has atleast n-m component…

Q: If a simple disconnected graph has 7 vertices and 2 connected components what is the maximum number…

A: Given question is If a simple disconnected graph has 7 vertices and 2 connected components what is…

Q: Draw a simple disconnected graph with 3 vertices.

A: The given problem is related with graph theory. We have to draw a simple disconnected graph with 3…

Q: A simple graph with 3 vertices

A: Now,  we have to  draw a  simple graph , with 3 vertices: The above shown is an example of a simple…

Q: 2. Is it possible for a connected graph with 7 vertices and 11 edges to be drawn so that no edges…

A: (2) Consider the provided question, Graph with no edges crossing means that it should be a planar…

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

A:

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

A:

Q: Construct a simple graph with vertices L, M, N, O, P, Q whose degrees are 1, 2, 4, 3, 4, 2 What is…

A:

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: Can you sketch an undirected graph whose sum of its degrees is 17? If so, sketch the graph, and…

A:

Q: draw the graph or explain why the graph cannot exist: (a) A simple graph on 5 vertices with 12…

A:

Q: a simple disconnected graph with 3 vertices.

A: This is an example of simple disconnected graph with three vertices.

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

A:

Q: Draw a graph with 5 vertices and 8 edges. How can you prove that it is a simple graph or…

A:

Q: What is the diameter of the complete bipartite graph K5,5?

A: First, we will have to make a complete bipartite graph  The diameter of the graph is equal to the…

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: If a planar graph has 18 vertices and 26 edges, how many regions are determined when you draw t…

A: If a connected planar graph G has e edges, v vertices, and r regions, then v-e+r=2. Here,  v=18,…

Q: what is the number of edge of Harary graph? explain to me

A: Solution:-

Q: (b) Explain why the total degree of a graph is twice the number of its edges.

A: In this question we have to prove that sum of degrees of vertices of a graph is twice the number of…

Q: What is the maximum number of edges can a graph with 10 vertices have?

A:

Q: I can't fit all the graphs in it

A: Given,

Q: What is the maximum number of edges of an undirected simple graph with n vertices? Assume it is…

A: To find the maximum number of edges in an un-directed simple graph with n vertices.

Q: The graph with 5 vertices and four edges is always connected. TRUE OR FALSE

A:

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

A:

Q: 3. Determine if the graph is a complete bipartite graph. Explain why or why not. y K2 Write your…

A:

Q: What do the in-degree and the out-degree of a vertex in adirected graph modeling a round-robin…

A: To Define : In-degree and Out-degree of a vertex in a directed graph modeling a round-robin…

Q: The maximum number of edges in a bipartite graph on 15 vertices is ____.

A:

Q: 1. What's the max number of edges you can put on 6 vertices without creating any triangles?

A: In graph theory, a tree is a connected acyclic undirected graph. Tree with n vertices has n-1 edges

Q: (6) Check whether it is possible to draw a connected regular graph with odd number of edges and…

A:

Q: Consider graphs with 9 vertices. What is the maximum number of edges in the graphs with Eulerian…

A: In a graph theory, Eulerian trail is a trail in a finite graph that visits every edge exactly once.…

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: 4. Is the graph below bipartite? If so, list the vertices in the one part and the vertices in the…

A:

Q: A simple graph with 2 vertices

A: To draw: A simple graph with two vertices. Graph: The graph having two vertices is shown below:

Q: Give the number of vertices in the graph.

A: Vertices are the points which are connected by graph's edges . In the given graph, the dark black…

Q: Can a simple graph exist with 15 vertices each of degreefive?

A: Given problem "Can a simple graph exist with 15 vertices each of degree five?"

Q: Construct a simple graph with vertices N,0, P,Q, R, S whose degrees are 5, 1, 2, 3, 3, 2 What is the…

A:

Q: What is the minimum number of colors you need to color the vertices of this graph such that if two…

A:

Q: The sum of the degree of vertices of a graph is always an even number.

A:

Q: Either draw a graph with the following properties, or explain why you cannot: Tree with 9 vertices…

A: We know that, Any tree with n vertices has n-1 edges.

Q: What is the maximum number of edges with 17 vertices and 6 components?

A: Introduction :Given , number of vertices = 17 no. of components = 6We have asked to calculate max.…

Q: Think of a list of six of your colleagues on Facebook and make a graph where each vertex is one of…

A:

Q: Is the following graph bipartite? Why or why not? Justify your answe swer.

A: Yes, the Given graph is a bipartite graph. A bipartite graph is a graph in which the vertex set can…