Problem 6. Consider the partial order on a, b, c, d, e, f,g, h\ determined by...
7. 12 M:1.5 M Each Answer these questions for the partial order of Hasse diagram. [CLO # 31 0 0 0 a) Find the maximal elements. b) Find the minimal elements c) Is there a greatest element? d) Is there a least element? e) Find all upper bounds of (A, B, C). f) Find the least upper bound of {A, B, C), if it exists. g) Find all lower bounds of {F, G, H). h) Find the greatest lower bound...
Q-4. [8+3+3+3+3 marks] Let be the partial order relation defined on , where means. a) Draw the Hasse diagram for . b) Find all maximal and minimal elements. c) Find lub({6,12}). a) Find glb({6,12}). e) What is the least element? The greatest element? Q-4. [8+3+3+3+3 marks] Let R be the partial order relation defined on A = {2,3, 6, 9, 10, 12, 14, 18, 20}, where xRy means x|y. a) Draw the Hasse diagram for R. b) Find all maximal...
please help with this math problem i am very lost on it. thanks! 4. Consider the divisibility partial order on the set 12, 4, 5,6,9, 10, 15, 27,30, 36, 48, 50, 60) Draw the Hasse diagram. Find any greatest elements, least elements, maximal ele- ments, minimal elements. 4. Consider the divisibility partial order on the set 12, 4, 5,6,9, 10, 15, 27,30, 36, 48, 50, 60) Draw the Hasse diagram. Find any greatest elements, least elements, maximal ele- ments, minimal...
Show your work, please 4. Partial Orders Let P be the collection of all subsets of X = {a,b,c,d} that have at least two elements. (So {a,c} € P, but {b} P.) Consider the subset relation C as a partial order on P. For example, {a,b} = {a,b,c}. Draw the Hasse diagram, and find any maximum/minimum elements, and maximal/minimal elements.
The drawing below shows a Hasse diagram for a partial order on the set {A, B, C, D, E, F, G, H, I, J} D G H E Figure 3: A Hasse diagram shows 10 vertices and 8 edges. The vertices, rep- resented by dots, are as follows: vertex J; vertices H and I are aligned vertically to the right of vertex J; vertices A, B, C, D, and E forms a closed loop, which is to the right of...
Consider the poset S = ({P{1,2,3} - {0}), S) (a) List any minimal elements (b) If it exists give the minimum element (c) List any maximal elements (d) If it exists give the maximum element (e) Give the Hasse diagram for S
Given a partial - ordered relation {(a, b) a bisects b} on the set {2, 4, 6, 8, 10, 60, 120, 240). a. Draw a Hasse diagram of poset b. Look for the maximum element. c. Look for the minimal elements. d. If so, look for the greatest element - in the poset? e. If so, look for the smallest element in the poset? f. Find UB from (30, 60) g. Find the LB of (30, 60) h. Find LUB...
1. Consider the sets: A = {a, b, c, d, e, f, h, j}, B = {a, b, i }, C = {f, h} and U = {a,b,c,d,e,f,g, h,i,j} a. Draw a Venn diagram and place each element in its appropriate region. Insert a photo of your diagram into your HW document. b. Is C a subset of A? Why? C. Is C a subset of B? Why? d. Is A a subset of B? Why? e. Are B and...
Given the schema S= < { A,B,C,D,E,G,H }, F>, where F represents the following dependencies: AB→D A→D E→B E→C G→C E→A EB→GH H → A Find a minimal cover for this schema. Find a key for this schema. Find a third normal form decomposition for this schema. Find a BCN form decomposition for this schema.
(1,3), с %3D (2,1), d (3,4) (1,2), b (4,2), f (5,3) and (5,5). Let 5. Let a = е 3 - {a, b, c, d, e, f, g} be the set of these 7 points. We define the following partial order on S: We have (r, y)(', y) iff x< x and y < / Draw the Hasse diagram of S S 6. We consider the same partial order as in Problem 5, but it is now defined on R2....