Question

C. Provide the summary of the following passage in fifty

words.

There is another optimization condition that can be considered for

the T-coloring environment. The span of a T-colouring is the

difference between the largest and smallest colour number used

in colouring the vertices of the graph. There are simple examples

for which there is no colouring that uses the smallest number of

colours and simultaneously achieves the smallest span. Further

generalisations of this basic framework expand the idea of a

T-colouring to a list T-colouring. Here the idea is that there are

"blocked" frequencies which cannot be assigned to a vertex, so

that in trying to achieve a colouring one must limit the choice at

each vertex to a list of non-blocked colours (frequencies). As

mathematical techniques are found to solve these more general

colouring problems, attempts are made to "up the ante" and

solve even more complex ones. Sometimes it is possible to show

that the problems are so hard (i.e. NP-complete) that no fast

algorithm is likely to be found to solve them. New ideas and

approaches using colouring to solve applied problems are

regularly being investigated. As we so often see, mathematical

ideas and applications of mathematics grow in tandem.​

Answer 1

Answer:

In the design of some object, system or structure, the values of certain parameters can be chosen subject to some conditions expressing their.