Discrete Mathematics: Please answer all the questions. Thank you in advance.

1. Use the graph below to answer the homework questions below 2) Graph H has vertex set (vl, v2, v3, v4, v5) and edge set e1,e2,e3,e4 with 3. U answer the homework questions below: 4) A graph G with four vertices (w, x, y, z) is represented by the adjacency matrix below se the graph below to e edge-endpoint function as fallows Edge Endpoints y 2 0 1 [v2, v3] a) What is the total degree of the graph? b) What is the degree of x? Answer the questions that follow, based on graph H above a) Indicate the degrees of the following vertices a) What is the degree of v3? b) What is the total degree of the graph? c) The graph has loo d) e2 and e3 are referred to as Select one: parallel, c) The graph has oops d) True or False: the graph is complete e) True or False: the graph is simple a) What is the degree of v2? b) What is the total degree of the graph? c) The graph has oops d) e4 and es are referred to as Select one: parallel, incident, simple or loops deg(V3) - deg(v4)- b) What is the total degree of the graph? c) The graph has loo d) True or False: the graph is complete e) True or False: the graph s simple e) True or False: the graph s simple f) True or False: the graph is complete 5) Is it possible to have a imple graph with four vertices of degrees 0, 1, 2, and 3? Ture or False 6) Is it possible to have a imple graph with four vertices of degrees 0, 1, 2, and 3? True or False incident, simple or loops e) True or False: the graph is simple f) True or False: the graph is complete 7) How many edges are there in a simple, complete graph with 24 vertices