Graph Theory problem 3. Determine if each of the following sequences is graphic. If yes, draw...
2. For each of the following, draw a (simple) graph with the corresponding degree sequence, or explain why no such graph exists. (a) A graph with degree sequence 1, 1, 1, 1. (b) A graph with degree sequence 3, 3, 2, 2, 1, 1, 1. (c) A graph with degree sequence 4, 4, 4, 4, 4, 4. (d) A graph with degree sequence 6, 5, 4, 3, 2, 1
8. For each of the following, either draw a undirected graph satisfying the given criteria or explain why it cannot be done. Your graphs should be simple, i.e. not having any multiple edges (more than one edge between the same pair of vertices) or self-loops (edges with both ends at the same vertex). [10 points] a. A graph with 3 connected components, 11 vertices, and 10 edges. b. A graph with 4 connected components, 10 vertices, and 30 edges. c....
Draw a planar graph(with no loops or multiple edges) for each of the following properties, if possible. If not possible, explain briefly why not. b) 8 vertices, all of degree 3 ( how many edges and regions must there be) c) has exactly 7 vertices, has an euler cycle and 3 is minimum vertex coloring number Also please draw the graph.
8. For each of the following, either draw a undirected graph satisfying the given criteria or explain why it cannot be done. Your graphs should be simple, i.e. not having any multiple edges (more than one edge between the same pair of vertices) or self-loops (edges with both ends at the same vertex). [10 points] a. A graph with 3 connected components, 11 vertices, and 10 edges. b. A graph with 4 connected components, 10 vertices, and 30 edges. c....
2020-03-05 Theory of Production Problem #2: 1. On the same set of axes draw the TP, AP and MP, curves of problem #1 as smooth curves. 2. Explain the shape of the AP, and MP, curves in part (1) in terms of the shape of the TP curve. 2020-03-05 of labour 2. Plot the "TP", and the "AP" and "MP" labour curves 2020-03-05 Theory of Production Problem #3: 1. In terms of "labour" and "land", what does the law of...
Problem 1. Convergence in probability 8 points possible (graded) For each of the following sequences, determine whether it converges in probability to a constant. If it does, enter the value of the limit. If it does not, enter the number "999". 1. Let X1, X2, . be independent continuous random variables, each uniformly distributed between -1 and 1. . Let u-x,tx, + + x, ,i-1,2, i1,2,.... What value does the sequence Ui converge to in probability? (If it does not...
3. (Oppenheim Willsky) Determine the z-transform for each of the following sequences. Sketch the pole-zero plot and indicate the region of convergence. Indicate whether or not the discrete-time Fourier transform of the sequence exists. (a) 8[n +5] (b) (-1)"u[n] (c) (-3)”u[-n – 2] (d) 27u[n] +(4)”u[n – 1]
3. For each of the following graphs, determine if the graph is planar. If it is, draw a plane representation of the graph; if not, indicate a subgraph homeomorphic to Kor K3,3 G
Problem #1 Draw the product expected from each of the following reaction sequences. Show all intermediate structures. O a) CHE CH, 1.CF,CO3H 2. LAH, THF.
Problem 3 Discuss the convergence or divergence for each of the following sequences: 3 1. an n+1 1 3. Show that lim