A t-(v, k, A)-design, say (X,A), is said to be a graphical t-design if X consists...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A t-(v, k, A)-design, say (X,A), is said to be a graphical t-design if X consists of the edges of a complete graph K, (i.e., all the 2-subsets of a v-set, where v = ()) and A is formed by taking all subgraphs of Kn that are isomorphic to one of the graphs in a set 9 of specified sub- graphs of K. (a) Suppose that v = 15, n = 6, and G= {{12,34,56}, {12, 13, 23}}. Prove that the result is a graphical 2-(15,3, 1)-design (i.e., a (15,3,1)-BIBD). (b) Suppose that v = 10, n = 5, and G = {{12, 13, 14, 15}, {12, 13, 23, 45}, {12, 23, 34, 14}}. Prove that the result is a graphical 3-(10,4, 1)-design. A t-(v, k, A)-design, say (X,A), is said to be a graphical t-design if X consists of the edges of a complete graph K, (i.e., all the 2-subsets of a v-set, where v = ()) and A is formed by taking all subgraphs of Kn that are isomorphic to one of the graphs in a set 9 of specified sub- graphs of K. (a) Suppose that v = 15, n = 6, and G= {{12,34,56}, {12, 13, 23}}. Prove that the result is a graphical 2-(15,3, 1)-design (i.e., a (15,3,1)-BIBD). (b) Suppose that v = 10, n = 5, and G = {{12, 13, 14, 15}, {12, 13, 23, 45}, {12, 23, 34, 14}}. Prove that the result is a graphical 3-(10,4, 1)-design.
Expert Answer:
Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
Students also viewed these mathematics questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-6. On December 12, Irene purchased the building where her store is located. She paid...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
1. Identify the function of the underlined noun/s in each item. 1. On rainy mornings, is your bus usually late? 2. On the desk were the red pencils. 3. Volcanoes and earthquakes are destructive...
-
As permanent space stations increase in size, there is an attendant increase in the amount of electrical power they dissipate. To keep station compartment temperatures from exceeding prescribed...
-
Performance appraisal is a useless organisation practice. Do you agree? Explain your answer.
-
Repeat the numerical integration in Example 15-5, except use the quadrature formula, Eq. \((9-12)\) Example 5-5 Equation (9-12) A steady-state system of ethanol and water has equimolar...
-
Each autumn, as a hobby, Suzanne De Angelo weaves cotton placemats to sell at a local crafts shop. The mats sell for $20 per set of four. The shop charges a 10% commission and remits the net proceeds...
-
A measure of profitability is the... A measure of profitability is the... Debt to assets ratio Earnings per share Working Capital Current ratio
-
Calculate the enthalpy and entropy of saturated isobutane vapor at 360 K from the following information: 1. Table 6.1 gives compressibility-factor data (values of Z) for isobutane vapor. 2. The vapor...
-
Consider the case of two risky and one risk-free asset E(rA) = 0.08. E(rB) = 0.15 OA = 0.03, oB = 0.10 rf = 0.06 p= 0.5 (correlation between A and B returns) Weight in A E(r,) Op Sharpe Ratio 0.15...
-
C&B Bank pays interest of 5 percent compounded annually. B&K Bank pays 5 percent simple interest. Which one of the following statements is true if you invest $1,000 in each bank for six years?
-
If given a total amount for sales including tax, how can you figure out the amount of the sales tax? Total is $432,000 including 8% sales tax.
-
Elliott, Inc., has four salaried clerks to process purchase orders. Each clerk is paid a salary of $24,800 and is capable of processing as many as 6,150 purchase orders per year. Each clerk uses a PC...
-
What is the AP weight of 2 # 6 oz of peeled turnips if their yield percentage is 88%?
-
1. a) Does the AASB have legal power to enforce accounting standards within Australia? If not, then who does? b) What is differential reporting? Which entities in Australia do they relate to? 2. The...
-
Over the past several years, decommissioned U.S. warships have been turned into artificial reefs in the ocean by towing them out to sea and sinking them. The thinking was that sinking the ship would...
-
X-1 Find the domain of the function f(x) : x 1 2 - O (-00, -1) U (-1, ) O (-00, 1) U (1, ) O -00, -1) U (-1, 1) U (1, 0) O (- 1, 1)
-
Consider the Everglade cash flow problem discussed in this chapter. Suppose that extra cash is kept in an interest-bearing savings account. Assume that any cash left at the end of a year earns 3...
-
Show that by using the statistical definitions of L and Lq in terms of the Pn. L= nP, + L, + P. n-0
-
The coach of an age group swim team needs to assign swimmers to a 200-yard medley relay team to send to the Junior Olympics. Since most of his best swimmers are very fast in more than one stroke, it...
-
Key Performance Indicators: The Income Statement. Describe or define the following key performance indicators (KPIs) from the income statement: 1. Operating revenue 2. Gross profit 3. Operating...
-
The return on shareholders equity ratio can be decomposed into three separate financial ratiosthe return on sales, asset turnover, and financial leverage. Define each of the ratios assuming the firm...
-
Some corporate executives have reportedly attempted to manage their firms operating revenues through such actions as front-end loading or rear-end loading of operating revenues. Explain the concepts...
Study smarter with the SolutionInn App