Exercise 18.1.19
Written by Adrian Bondy on 19.04.2008 |
Exercises
The bound in part (ii) of Exercise 18.1.19b, while correct, can be sharpened as follows.
No Comments so far | Read On »
The blog of the book by J.A. Bondy and U.S.R. Murty
The bound in part (ii) of Exercise 18.1.19b, while correct, can be sharpened as follows.
The set S should be a nonempty proper subset of V.
Exercise 17.2.8a (not due to Shannon) is incorrect: there are counterexamples on just five vertices.
Shannon’s bound, stated in Exercise 17.2.8b, can be deduced quite easily by induction from Vizing’s bound (stated in Exercise 17.2.6b), as outlined in the following exercise, which replaces Exercise 17.2.8.
In Exercise 6.1.7a, the stated equality should be an inequality.