Question: Let Mbe the matroid on the set E= {a, b, c, d} whose bases are {a, b}, {a, c}, {a, d}, {b, c}, {b,

Let Mbe the matroid on the set E= {a, b, c, d}

Let Mbe the matroid on the set E= {a, b, c, d} whose bases are {a, b}, {a, c}, {a, d}, {b, c}, {b, d} and {c, d). Write down the cycles of M, and deduce that there is no graph G with Mas its cycle matroid.

Step by Step Solution

★★★★★

3.48 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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

Students Have Also Explored These Related Mathematics Questions!

A food expert claims that there is no difference between the taste of two leading soft drinks. In a taste test involving 200 persons, however, 55% of the subjects say they like soft drink A better...

1) Respond to this comment from an economist friend: You cost-management analysts use an overabundance of cost terms to cover up the fact that you really do not understand opportunity costs. You...

A microbiologist argued that there is no such thing as "normal" microbiota in the human body, since the population is dynamic and is constantly changing, depending on diet and external environment....

=+12. Consider the set of n n matrices M whose entries are drawn independently and uniformly from the set {1, 1}. Thus, each such matrix has probability 2n2 . Show that E(detM) = 0 and Var(detM) =...

Determine the volume of a right trapezoidal cylinder whose bases are B 16 m and b 9 m height is h 3 m and length is 1 17 m b B 1 1

Let G = (V, E) be an undirected, connected graph with weight function w : E R, and suppose that |E| |V| and all edge weights are distinct. A second-best minimum spanning tree is defined as follows....

From the set {1, 2, 3,... , n}, k distinct integers are selected at random and arranged in numerical order (from lowest to highest). Let P(i, r, k, n) denote the probability that integer i is in...

Consider a distribution for which the p.d.f. or the p.f. is f(x|), where belongs to some parameter space It is said that the family of distributions obtained by letting vary over all values in is...

A computer system uses passwords that contain exactly eight characters, and each character is 1 of the 26 lowercase letters (az) or 26 uppercase letters (AZ) or 10 integers (09). Let denote the set...

A computer system uses passwords that contain exactly eight characters, and each character is one of 26 lowercase letters (az) or 26 uppercase letters (AZ) or 10 integers (09). Let denote the set of...

What does Dr. Ogunseitan want industry to do? (select all that apply) Group of answer choices Make it easier for consumers to recycle products Use less toxic materials Stop producing new electronics...

Dave was a bachelor who lived in Sydney. He was a loner and in ill health. He contacted his sister, Keren, in Oxford, England and asked her to move to Sydney to help look after him. He promised that...

The demand equation for pen per day is as under (6) D 160- 15 P Calculate (a) How many pens per day can the firm sell at a price of Rs. 10 per pen? (b) If firm wants to sell two pens per day what...

The balance sheet for Quinn Corporation is shown here in market value terms. There are 6,000 shares of stock outstanding. Market Value Balance Sheet Cash Fixed assets $45,500 490,000 Equity $535,500...

ZARA, a Spanish fashion giant, has redefined fast fashion. Founded in 1 9 7 5 by Amancio Ortega, ZARA boasts over 2 , 0 0 0 stores in 9 6 countries, a testament to its rapid global expansion. Their...

Question 4 (10 points) Listen Base on the video "United Breaks Guitar" by Dave, answer the following questions: Look up on internet and describe what has impact on United Airlines after this song...

Starfax, Inc., manufactures a small part that is widely used in various electronic products such as home computers. Results for the first three years of operations were as follows (absorption costing...

Shreemaya Hotel in !adore was facing a problem of low demand for its rooms due to off season. The Managing Director (MD) of the hotel, Mrs. Sakina was very worried. She called upon the Marketing...

Determine the following. (a) A-1 (b) B-1 (c) AB (d) (AB)-1 (e) B-1A-1 If 0 2|and B=[-1 2 2 3 1

Let n Z+ with n 4, and let the vertex set V' for the complete graph Kn-1 be {v1, v2, v3, . . . , vn-1}. Now construct the loop-free undirected graph Gn = (V, E) from Kn-1 as follows: V = V' {v},...

Let E: Z82 Z122 be the encoding function for a code C. How many calculations are needed to find the minimum distance between code words? How many calculations are needed if E is a group homomorphism?

What are the most positive or most negative things you remember about your own adolescence? Who do you credit or blame more your parents or your peers?

Which dream theory best explains why we often dream of daily things weve seen or done?

In interpreting dreams, Freud was most interested in their information-processing function. physiological function. manifest content, or story line. latent content, or hidden meaning.