Let A, B, and C be sets such that An BNC Ø (i.e., A, B, and C are not disjoint). Draw a Venn diagram for: d (ANB)UT. e (ANA)u(BNC).
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- Determine which of the examples (R₁), (R, +), (M₂ (R), .), and (P(X), U) have idempotents. Try to find all idempotents in each case.Make the Venn diagrams for the combinations of the sets A, B, and C.(V, E) be a connected, undirected graph. Let A = V, B = V, and f(u) = neighbours of u. Select all that are true. Let G = a) f: AB is not a function Ob) f: A B is a function but we cannot always apply the Pigeonhole Principle with this A, B Odf: A B is a function but we cannot always apply the extended Pigeonhole Principle with this A, B d) none of the above
- Draw a Karnaugh map for the following function; X = Em(0, 2, 3, 6, 7, 8, 10, 11, 14, 15) Then encircle all the octets(groups of 8), quads(Groups of 4) and pairs you can find. Using the circled groups what is X.variable change.In a K-Map, the cell adjacency is defined by aO3O4O12The Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a Graph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through this exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to read about the Adjacency Matrix concept as well as the Adjacency List concept. Suppose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column indices(0,1,2,3,4,5,6,and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table. Vertex of Graph Index in the 2-D Array Adjacency Matrix Representation of Graph A B 2 F 6. H 7 Suppose further, that the following is an Adjacency Matrix representing the Graph. 3 4 5. 6. 7 0. 1 1 1 1 01 1 01 1. 3 14 1 1 1 6. 1 Exercise: Show/Draw the Graph that is represented by the above Adjacency matrix. Upload the document that contains your result. (Filename: AdjacencyMatrixExercise.pdf) Notes: -The nodes of the…
- Affine transformations preserve parallel lines. True or false4. Let A, B, and C be sets. Using membership or Venn diagram show that a) (AUB) C (AUBUC) s b) (A-B)-CCA-C cs Scanned with CamScanner5. (This question goes slightly beyond what was covered in the lectures, but you can solve it by combining algorithms that we have described.) A directed graph is said to be strongly connected if every vertex is reachable from every other vertex; i.e., for every pair of vertices u, v, there is a directed path from u to v and a directed path from v to u. A strong component of a graph is then a maximal subgraph that is strongly connected. That is all vertices in a strong component can reach each other, and any other vertex in the directed graph either cannot reach the strong component or cannot be reached from the component. (Note that we are considering directed graphs, so for a pair of vertices u and v there could be a path from u to v, but no path path from v back to u; in that case, u and v are not in the same strong component, even though they are connected by a path in one direction.) Given a vertex v in a directed graph D, design an algorithm for com- puting the strong connected…
- The function is given a map with 1 representing land, o representing water. A land cell can have four neighbors along its edges. Compute the total perimeter of shore-lines that are defined by land cells touching water or the outer edges of the map. Each cell edge has a length equal to 1. An isolated cell without neighbors has a total perimeter length of 4. Examples islandsPerimeter ([ [0, 1, 0, 0], [1, 1, 1, 0], [0, 1, 0, 0], [1, 1, 0, 0] → 16 ])Refer to attached image and provide correct solution! Computation and Automata!help me with the k-map and diagraph/graph of the following question
