You find a graph with five vertices of degrees 3, 1, 4, 4, 2, respectively. How many edges does it have? Be careful, wrong answers have negative weights. Select one: a. 28 b. 14 c. 7 d. 12 e. 5
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You find a graph with five vertices of degrees 3, 1, 4, 4, 2, respectively. How...
A graph has 4 vertices of degrees 3, 3, 4, 4. (a) How many edges such a graph have? (b) Draw two non isomorphic such graphs. (c) Explain why there is no such simple graph
A graph has 21 edges, two vertices of degree 5, four vertices of degree 3, and all remaining vertices have degree 2. How many vertices does the graph have? 12 10 16 O 14
Choose the true statement. There exists a graph with 7 vertices of degree 1, 2, 2, 3, 4, 4 and 5, respectively. the four other possible answers are false There exists a bipartite graph with 14 vertices and 13 edges. There exists a planar and connected graph with 5 vertices, 6 edges and 4 faces. There exists a graph with 5 vertices of degree 2, 3, 4, 5 and 6, respectively.
Let G -(V, E) be a graph. The complementary graph G of G has vertex set V. Two vertices are adjacent in G if and only if they are not adjacent in G. (a) For each of the following graphs, describe its complementary graph: (i) Km,.ni (i) W Are the resulting graphs connected? Justify your answers. (b) Describe the graph GUG. (c) If G is a simple graph with 15 edges and G has 13 edges, how many vertices does...
how many edges does a 4-regular graph on n on vertices have?
3. Find a graph with the given set of properties or explain why no such graph can exist. The graphs do not need to be trees unless explicitly stated. (a) tree, 7 vertices, total degree = 12. (b) connected, no multi-edges, 5 vertices, 11 edges. (c) tree, all vertices have degree <3, 6 leaves, 4 internal vertices. (d) connected, five vertices, all vertices have degree 3.
Discrete Mathematics Graphs and Trees Please show all work. Suppose a graph has vertices of degrees 0, 2, 2, 3, and 5. How many edges does the graph have? Explain your answer 3.
Recall the definition of the degree of a vertex in a graph. a) Suppose a graph has 7 vertices, each of degree 2 or 3. Is the graph necessarily connected ? b) Now the graph has 7 vertices, each degree 3 or 4. Is it necessarily connected? My professor gave an example in class. He said triangle and a square are graph which are not connected yet each vertex has degree 2. (Paul Zeitz, The Art and Craft of Problem...
Problem 1: In the graph below 6 5 4 1 3 (a) How many edges does the graph have? (b) Which vertices are odd, and which vertices are even? (c) is the graph connected? (d) Does the graph have any bridges? If so, list them all.
Suppose that we have a graph with vertices 1, 2, 3, 4, 5, 6, 7 and edges (1, 5), (2, 5), (3, 4), (3, 5), (6, 2), (7, 1), (7, 4). Draw this graph and execute the function mexset1) to find the number of vertices in the largest independent set of the graph. What is the best way to choose v' for executing this function? Must draw a tree structure to show how you come up with the answer.