Exercise 17.1.5

Written by on 20.01.2012 | Errata, Exercises

“For i=1,2, let e_i=u_iv_i”    should be replaced by    “Let e_1=u_1u_2 and e=v_1v_2″

Prop. 4.9, Ex.4.2.1

Written by on 07.01.2012 | Exercises, Notation

Have I missed something – either in book or errata or other posts?  But it seems that:  Prop. 4.9 is false, as the mission of Ex. 4.2.1 a) can fail when e is in at least one triangle.  E.g., let G be K3, e any edge of K3.  Then G/e is K2, and t (G/e)=1, so that t(G\e)+t(G/e) =2, whereas t(G)=3.

Incidence matrix of a digraph – Ex. 1.5.6

Written by on 08.09.2011 | Exercises, Terminology

The incidence matrix of a digraph (as defined in Ex. 1.5.6) gives no information about the ends of a directed loop.  Should it be defined for loopless digraphs only?

Exercise 4.2.15d

Written by on 04.09.2011 | Errata, Exercises, Terminology

The notion of “fundamental cycle” is defined later, in Section 4.3.

(Contributed by Frederic Havet.)