1. Draw the graphs whose vertices and edges are as follows. In each case write if the graph is a simple graph. a) V = {u, v, w, x}, E = {uv, vw, wx, vx} b) V = {1, 2, 3, 4, 5, 6, 7, 8}, E = {12, 22, 23, 34, 35, 67, 68, 78} c) V = {n, p, q, r, s, t}, E = {np, nq, nt, rs, rt, st, pq} 2. Draw simple connected graphs with the degree sequences a) (1, 1, 2, 3, 3, 4, 4, 6) b) (3, 3, 3, 3, 3, 5, 5, 5) c) (1, 2, 3, 3, 3, 4, 4)

1. Draw the graphs whose vertices and edges are as follows. In each case write if the graph is a simple graph. a) V = {u, v, w, x}, E = {uv, vw, wx, vx} b) V = {1, 2, 3, 4, 5, 6, 7, 8}, E = {12, 22, 23, 34, 35, 67, 68, 78} c) V = {n, p, q, r, s, t}, E = {np, nq, nt, rs, rt, st, pq} 2. Draw simple connected graphs with the degree sequences a) (1, 1, 2, 3, 3, 4, 4, 6) b) (3, 3, 3, 3, 3, 5, 5, 5) c) (1, 2, 3, 3, 3, 4, 4)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.5: The Format Proof Of A Theorem

Problem 12E: Based upon the hypothesis of a theorem, do the drawings of different students have to be identical...

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