3. A major publishing company has ten editors (referred to by 1,2,3,..,10) divided into seven committees as follows: c1 = {1,2,3}, c2 = {1,3,4,5}, c3 = C5 = {2,6,7}, c6 = {8,9,10}, c, ={1,3,9,10}. Represent the committees as vertices and c¡c; is {2,5,6,7}, c4 = {4,7,8,9}, an edge if and only if they have a common member. What is a logical question to ask in this situation which is answerable by analyzing the graph model ? 4. Let V = {act, aim, arc, arm, art, car, cat, oar, oat,rat, tar}, a collection of 3-letter words be the vertices. Two elements of V form an edge iff they are transformations of each other. The word W; is a transformation of W; if W; is obtained from W; by performing exactly one of the following steps: (1) Interchanging two letters of W; (i.e., act and cat are transformations of each other); (2) Replacing a letter in W; by another letter ( i.e., aim and arm are transformations of each other). Note: A graph is called a word graph if it is a graph of some set of words.