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[Oops.] Bugs in Approximation Chapter J.9

Open reteps opened this issue 1 year ago • 0 comments

Please verify that the error is present in the most recent revision before reporting.

Chapter number or note title: J.8

Page number: 11

Error description: typo

Pushing this idea to its limits us the following negative result.

Suggested fix (if any):

Pushing this idea to its limits gives us the following negative result.


Chapter number or note title: J.8

Page number: 12

Error description: typo

image

Suggested fix (if any):

Swap (3) and (4) in the left graph


Chapter number or note title: J.8

Page number: 12

Error description: bug in proof

On the other hand, if we remove any edge from the optimal tour, we obtain a spanning tree (in fact a spanning path) of the graph; thus, MST ≥ OPT.

Suggested fix (if any):

MST <= OPT.

reteps avatar Nov 19 '24 03:11 reteps