Explain graph theory, Applied Statistics

Assignment Help:

For each of the following scenarios, explain how graph theory could be used to model the problem described and what a solution to the problem corresponds to in your graph model.

To determine the order in which the nucleotide bases (A,C,G,T) occur in a long string of DNA, such as in a chromosome, one common approach is to cut large DNA fragments into shorter DNA fragments. The short DNA fragments are individually sequenced and then these
short sequences are assembled into one long, contiguous sequence. This assembly process is complex and dicult, particularly if a sequence contains many repeats.

To illustrate how graph theory can model this problem, you might like to use the following small example. Suppose that a biologist has the following DNA fragment of length 13 but does not know the sequences of bases

ACGTCCGTCACGT:

Replication and cutting gives the biologist the following list of fragments of length three.

ACG CGT GTC TCC CCG TCA CAC

(b) A speed dating evening has been organised so that each member of a group of women can meet with each member of a group of men for a 10 minute conversation, to determine whether or not they might want to meet again. The event organiser has to give each person a schedule indicating which table to sit at during each time slot to ensure that each woman meets each man.

To illustrate how graph theory can model this problem, you might like to consider an evening where an equal number of women and men show up and also an evening where the numbers of women and men are unequal.


Related Discussions:- Explain graph theory

Principal components analysis, In the context of multivariate data analysis...

In the context of multivariate data analysis, one might be faced with a large number of v&iables that are correlated with each other, eventually acting as proxy of each other. This

Quartiles, Related Positional Measures Besides median, there are other ...

Related Positional Measures Besides median, there are other measures which divide a series into equal parts. Important amongst these are quartiles, deciles and percentiles.

Determine percent of population in city - bayes theoram, (1) Assume we cat...

(1) Assume we categorize voters in a city as havingless educationand those havingmoreeducation. Those with less education have less than a college degree; those with more education

Chi square test, who invented the chi square test and why? what is central ...

who invented the chi square test and why? what is central chi square and non central chi square test? what is distribution free statistics? what are the conditions when the chi squ

Compute the sample mean and sample standard deviation, We want to investiga...

We want to investigate the income data.  In the Excel file Midterm  Data.xls there is a tab labeled "Income Data 2006".  The data in the tab is the income reported by 400 people in

Time series, what is the use of applied statistic in our daily routin life

what is the use of applied statistic in our daily routin life

Stat, solve problems

solve problems

Prediction interval, Prediction Inte rval We would like to construct a...

Prediction Inte rval We would like to construct a prediction interval around    which would contain the actual Y. If n  ≥  30,     ± Zs e  would be the interval, where Z

Regression coefficient, Regression Coefficient While analysing regressi...

Regression Coefficient While analysing regression in two related series, we calculate their regression coefficients also. There are two regression coefficients like two regress

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd