Question: Let G be a loop-free undirected graph on n vertices. If G has 56 edges and has 80 edges, what is n?

Let G be a loop-free undirected graph on n vertices. If G has 56 edges and has 80 edges, what is n?

Step by Step Solution

★★★★★

3.25 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

56 80 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

954-M-L-A-L-S (8224).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

Let G = (V, E) be a loop-free undirected graph. Prove that if G contains no cycle of odd length, then G is bipartite.

Q:

Let G be a loop-free undirected graph, where = maxuV{deg(v)}. (a) Prove that x(G) + 1. (b) Find two types of graphs G, where x (G) = + 1.

Q:

Let G = (V, E) be a loop-free undirected graph with chromatic polynomial P(G, ) and |V| = n. Use Theorem 11.13 to prove that P(G, ) has degree n and leading coefficient 1 (that is, the coefficient of...

Q:

5. (Thickness) Let G be a simple undirected graph with n vertices labeled 1,2,.. .n The graph Glr, r2,...,rn] is the graph obtained from G by replacing vertex i with K, and connecting all possible...

Q:

Let G be a loop - free undirected graph with v many vertices and e many edges. How many edges does G have?

Q:

Let G be a simple undirected graph with n vertices and m edges, where n 3. Prove or disprove the following statement: "If every vertex in G has degree at least n/2, then G must contain a cycle."

Q:

= 4. (Independence number) Let G (V,E) be an undirected graph with n vertices. A subset SCV is independent if no pair of vertices in S is adjacent. In other words, S is independent in G exactly if S...

Q:

= Let G be a connected undirected graph on n vertices. We say that two distinct spanning trees T and S of G are one swap away from each other if |TS| -2; that is, T and S differ in only one edge. For...

Q:

Multiple Choices (10 points, 1 point each) 1. A graph that has values associated with its edges is called a weighted graph. The graph can be either directed or undirected. The weights can represent...

Q:

Note that an end-vertex or a G gives rise to a loop of G*, and that bridge of faces of G have more than one edge in common, then G* has multiple edges. The geometrical idea of duality is very old....

Q:

Describe three differences between a partnering relationship and a traditional practice.

Q:

Question 2: The solution of the Ordinary Differential Equation y" - 2y' - 8y = 0 if y(0) = 3 and y'(0) = 6 is: a. 3e'cos3t + tsin3t b. 3e'cos3t + te-tsin3t c. 2e-fcos3t + te-sin3t d. None of them

Q:

S. In general, medium range forecasting period will be approximately: (a) 5 to 10 Years, ( ) (b) 2 to 3 days (c) 3 to 6 months, ( ) (d) 10 to 20 years.

Q:

Fox, Dodge, and Gilbey agreed to become limited part ners in Palatine Ventures, a limited partnership. In a signed writing each agreed to contribute $20,000. Foxs contribution consisted entirely of...

Q:

Suppose you drive through Macon, Georgia, (which is 82 mi from Atlanta) on your way to Savannah, Georgia, at a steady 54 mi/h. a. What is your distance from Atlanta two hours after you leave Macon?...

Q:

APPLICATION Melissa and Roy both sell cars at the same dealership and have to meet the same profit goal each week. Last week, Roy sold only three cars, and he was below his goal by $2050. Melissa...

Q:

The points on this graph represent the first five terms of an arithmetic sequence. The height of each point is its distance from the x-axis, or the value of the y-coordinate of the point. a. Find u0,...

Q:

Which of the following bonds carry significant risk that the issuer will not make current or future payments

Q:

Let x be a random variable that represents the PH of arterial plasma (Le., acidity of the blood). For healthy adults, the mean of the x distribution Is / = 7.4.1 A new drug for arthritis has been...

Q:

Q4.b. Use Newton-Raphson metho ds to find the root of the following equation