AQA Further Paper 3 Discrete 2024 June — Question 2

Exam BoardAQA
ModuleFurther Paper 3 Discrete (Further Paper 3 Discrete)
Year2024
SessionJune
TopicTravelling Salesman

2 A student is trying to find the solution to the travelling salesperson problem for a network. They correctly find two lower bounds for the solution: 15 and 19 They also correctly find two upper bounds for the solution: 48 and 51 Based on the above information only, which of the following pairs give the best lower bound and best upper bound for the solution of this problem? Tick ( ✓ ) one box.
Best Lower BoundBest Upper Bound
1548
1551
1948
1951
The simple-connected graph \(G\) has the adjacency matrix
\cline { 2 - 5 } \multicolumn{1}{c|}{}\(A\)\(B\)\(C\)\(D\)
\(A\)0111
\(B\)1010
\(C\)1101
\(D\)1010
Which one of the following statements about \(G\) is true?
Tick ( ✓ ) one box.
\(G\) is a tree □
\(G\) is complete □
\(G\) is Eulerian □ G is planar □