Discrete math 1. Consider the graph on all two-element subsets of (a. b, c.d,e), in which...
Hi, I could use some help for this problem for my discrete math class. Thanks! 18. Consider the graph G = (V, E) with vertex set V = {a, b, c, d, e, f, g} and edge set E = {ab, ac, af, bg, ca, ce) (here we're using some shorthand notation where, for instance, ab is an edge between a and b). (a) (G1) Draw a representation of G. (b) (G2) Is G isomorphic to the graph H -(W,F)...
Discrete Math: Please help with all parts of question 5. I have included problem 3 to help answer part (a) but I only need help with question 5! 5. 3. (a) (4 points) Prove that a graph is bipartite if and only if there is a 2-coloring (see problem 3) of its vertices. (b) (4 points) Prove that if a graph is a tree with at least two vertices, then there is a 2-coloring of its vertices. (Hint: Here are...
uestion 1) 2 points .Suppose a person wants to allocate income () between two products H (on the horizontal axis) and S (on the vertical axis) are given: PH-1:Ps-8:1-100: a. Write the equation of the budget line b. Compute the horizontal intercept& write the interpretation of it c. Compute the vertical intercept& write the interpretation of it d. Compute the slope and write the interpretation of it Question 2) 2 points .Consider information in question 1 to be the baseline...
Question 9 1 pts Logan Roy is spending all his money income by buying mineral water and popcorn. At his current consumption level, the marginal utility of mineral water is 70 and the marginal utility of popcorn is 60. The price of a bottle of mineral water is $2.00 and the price of a box of popcorn is $1.50. The utility-maximizing rule suggests that Logan should: O Increase consumption of popcorn and increase consumption of mineral water Decrease consumption of...