13. Does the join of two graphs hold commutativity? Illustrate with examples.

Q: 26 Is it possible to take a walk around the city whose map is shown below, starting and ending at…

A:

Q: 4 Let Pn be a path graph withn24 vertices. What is the length of a longest path in Pn (the…

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: 15 vertices and 4 components in the graph. What is the minimum number of edges?

A: Introduction :Given a graph , no of vertices= 15 no of components = 4We have asked the minimum…

Q: 4. Show that the edge set of every regular bipartite graph is a union of edge-disjoint perfect…

A:

Q: 10. A policeman wants to patrol a neighbarhood, but anly wants to walk down the street once. Based…

A: This is a problem of Graph Theory.

Q: . Consider a connected graph on 100 vertices with 99 edges. What's the mallest number of colors you…

A: If there is a connected graph with n vertex and n-1 edges then graph must be a path P(n).  Every…

Q: schedule is to be made with football teams. Suppose that 7 teams need to play with three other teams…

A: It's clear from the given problem that 7 teams play against three other teams. This leads to 7…

Q: Use graphs to find set: (1, 4) ∪ [2, 8].

A:

Q: Use graphs to find set. (-3, 0)∩[-1, 2]

A: The given sets are We need to find the intersection of these two sets using graphs.

Q: A young adult may be defined as someone older than 21,but less than 30 years of age. Express this…

A: A young adult may be defined as someone older than 21, but less than 30 years of age.

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: in fuzzy graph theory What is the transitive And give examples

A:

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

A:

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

A: A simple graph does not have loops (edge from a vertex to itself). For this question, we will…

Q: i. Explain and draw why graphs with the given specifications do not exist. a) Tree, nine vertices,…

A:

Q: 18. What is the maximum number of edges for a simple graph with 8 vertices? O 26 О 31 O 30 28

A: The formula for this I believe is n(n-1) / 2 where n = number of vertices

Q: Use graph to find  set. [1, 3) ∩ (0, 4)

A: Given set is  [1, 3) ∩ (0, 4) The graph of the given set is as shown

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

A:

Q: Use graphs to find the set : (- ∞, 5) ∪ [1, 8)

A: Given that -∞,5∪[1,8). First draw the graph of -∞,5 and [1,8).

Q: Give the 5 correct conclusions from the diagram

A: Given:

Q: How do the concepts of duality and the golden rectangle relate (Write at least 7 sentences)? Give at…

A: Given below clear explanation

Q: what is a complete fuzzy graph And give examples

A:

Q: Evaluate using a grapher. 53 2

A: The formula to for permutation is, nPx=n!n-x!

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

A:

Q: Construct a bipartite graph with vertices A, B, C, D, E, F, G that is a tree. What is the edge set?…

A: Introduction: A unique type of graph known as a bipartite graph that exhibits the following…

Q: What is the Pru fer code for a simple path whose vertices are numbered in increasing order (i.e., 1…

A: The complete solutions are given below

Q: Plot the Polan graph Or=-6 los O in interval Lo,1603 interval Lorz6o 3 36c in

A:

Q: what is the y-intersept of y=5

A: Compare with y=mx+c where slope is zero and y=5 is y intercept

Q: 1. Say two methods for testing the non planarity of graphs.

A:

Q: What is the intersection of sets {2,3,4} and {2,3,5}?

A: To find the intersection of given sets: {2,3,4} and {2,3,5} Solution: We know ,the intersection of…

Q: 6. Determine the number of edges and the sum of degrees of the vertices in the figure below. Verify…

A:

Q: Number 14 please.

A:

Q: 2) A planar triangulation is constructed from a planar graph, and adding edges without edge…

A:

Q: Use graph to find set. [3, ∞)∩ (6, ∞)

A: We have to find set using graph for given interval notation: [3, ∞)∩6, ∞ Here there are two set…

Q: What is the presented graph on contracting Covid 19 by ASEAN countries?

A: The graphs are used to visualize the data set. It is used to make decision and it sometimes used to…

Q: What is the definition of one-one and give an example.

A:

Q: Construct a bipartite graph with vertices R, S, T,U, V,W, X that is a tree. What is the edge set?…

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: k that an ordere

A: Here we have to explain How can you check that an ordered pair is a point of intersection of two…

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

A:

Q: Use graph to find set. [2, ∞)∩ (4, ∞)

A: Use the graph to find [2,∞)∩(4,∞)

Q: 2. Show that the set N has no limit point.

A:

Q: ach vertex in the graph represents an animal that needs to be transported to the zoo. Two vertices…

A: We have to find fewest number of cages needed to transport these animal. Now, two vertices are…

Q: In 2011 the United States federal government decided that all businesses must pay their employees a…

A: As per the given graph of hourly minimum wage requirement:  1. Statement first is correct that the…

Q: Explain and draw why graphs with the given specifications do not exist. a) Tree, nine vertices, nine…

A: Since you have posted multiple questions, we answered the first question for you. If you want any…

Q: How many shortest lattice paths start at (5,5) and a. end at (10, 10)? b. end at (10, 10) and pass…

A: Solution :-

Q: Q3) Imagine that you have a complete graph with 10 vertices. What is the degree of each vertex? How…

A: For a complete graph with n vertices: The degree of each vertex is n-1 . The number of edges is…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.