Question: Problems [ 4 marks ] 1 . A classic puzzle is to complete a knight's tour ( first analyzed in a 9 th century book

Problems

[4

marks

] 1 .

A classic puzzle is to complete "a knight's tour"

(

first analyzed in a

9

th century book of Sanskrit poetry by Rudrata

) .

The goal is to put a knight on an

\ (8 \

times

8 \)

chessboard and move it via a series of legal moves so that it visits every square on the chessboard exactly once and returns to its original location.

Rephrase this problem in the language of graph theory, and describe the graph in question

(

you do not need to solve the knight's tour problem

) .

What is the chromatic number of this graph?

Problems [ 4 marks ] 1 . A classic puzzle is to

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