A. What is the number of edges in a Kn ?
B. Let a, β be two graph invariants with positive values. Formalize the two statements below, and show that each implies the other:
(i) a is bounded above by a function of β
(ii) β can be forced up by making a large enough.
Show that the statement
(iii) ß is bounded below by a function of a is not equivalent to (i) and (ii). Which small change will make it so ?
C. Draw pictures of all different abstract graphs of order 1,2,3 and 4