Show that g(n) ¥ [n/3]. [Consider the polygon with 3k vertices that resembles a comb with k

Question:

Show that g(n) ‰¥ [n/3]. [Consider the polygon with 3k vertices that resembles a comb with k prongs, such as the polygon with 15 sides shown here.]

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: May 03, 2016 01:57 AM

See More Questions

Consider the measurable space (W, A) and let A n A, n = 1, 2, then recall that And (i) Show that A n A n . (If also A n A n so that A n = n A n then this set is denoted by A n and is called the...
(a) For n 4, consider the strings made up of n bits - that is, a total of n 0's and l's. In particular, consider those strings where there are (exactly) two occurrences of 01. For example, if n = 6...
Consider the caterpillar in part (i) of Fig. 12.50. If we label each edge of the spine with a 1 and each of the other edges with a 0, the caterpillar can be represented by a binary string. Here that...
Use the Principle of Induction to prove the formula for all natural numbers $n$. $1+2+3+\cdots+n=\frac{n(n+1)}{2}$
How do the security considerations for temporary or contract employees differ from those for regular full-time employees?
A club has 25 members. a) How many ways are there to choose four members of the club to serve on an executive committee? b) How many ways are there to choose a president, vice president, secretary,...
You are a sales manager for an office supply distributor in a large metropolitan area. What do you use as your basic control unit in creating territories? Why?
The following data appeared in the accounting records of Bond Manufacturing Inc., which uses an average cost production system: Started in process . . . . . . . . . . . . . . . . . . . . . . . . ....
Suppose p(x) and q(x) are polynomials with real (or complex) coefficients with 0 deg(q(x)) deg(p(x)). Moreover, suppose there is no polynomial r(x) for which p(x) = q(x)r(x). Setting so(x)= q(x),...
Andy Mendoza makes handcrafted dolls, which he sells at craft fairs. He is considering mass producing the dolls to sell in stores. He estimates that the initial investment for plant and equipment...
Show that g(5) = 1. That is, show that all pentagons can be guarded using one point.
In Exercise find the chromatic number of the given graph. a
The current in a 100-?F capacitor is shown in figure. Determine the waveform for the voltage across the capacitor if it is initially uncharged. i(t) (mA) 10 t (ms)
What is product differentiation, why is it important, how can airline differentiate its product (for example, American Airlines)?
The square root of the variance is the a. expected value. b. standard deviation. c. area under the normal curve. d. all of the above.
Least squares is a technique used a. in regression analysis. b. to determine the accuracy of a forecasting model. c. to determine an exponential smoothing model. d. none of the above.
Airline fares have declined in real terms since the introduction of the Douglas DC-3 throughout the regulated era. What has enabled this decline?
Can fuel hedging lower fuel cost? Why do some airlines hedge fuel prices?
Herbert was employed for the first six months of 2021 and earned $90,000 in salary. During the next six months, he collected $8,800 of unemployment compensation, borrowed $12,000 (using his personal...
Orange juice producers are dismayed and puzzled. An economist told them that the reason the demand for orange juice fell is that a new technology allow tomato producers to pick ripe tomatoes more...
Suppose f is an odd function and is differentiable everywhere. Prove that for every positive number, there exists a number c in (b, b) such that f(c) = f(b)/b.
Use the Mean Value Theorem to prove the inequality |sin a sin b| < | a b | for all a and b.
If f(x) = c (c a constant) for all x, use Corollary 7 to show that f(x) cx + d for some constant d.
Who is your favorite designer from the 20th Century (the 1900s)? Give a detailed explanation of why he or she is your favorite and how his/her designs have impacted the fashion industry.
Describe what the article was about? What stood out the most in the article? How it relates to the fashion industry? Was the article useful in expanding knowledge as it relate to textile? Website...
Explain why special events have arisen in human civilization, why they are so popular, and how they contribute to community development and benefit stakeholders and host communities. Describe the...

Show that g(n) ¥ [n/3]. [Consider the polygon with 3k vertices that resembles a comb with k

Question:

Step by Step Answer:

The figure suggested in the hint generalized to have k ...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions