in the minimum spanning tree problem formulation, the subtour elimination constraint can be formulated as: O a. E-1 E-1 Xij = |S| - 1, Vi, je (1.n}, and i # j %3D where IS: the cardinality of subset S, and for all S C V b. none of the mentioned O c. E E-1 (xIj + x ja) = 1 d. Xij + Xj 2 1, Vi, je (1.n} e. Xij + xj S 1, Vi, je {1.n}

Q: 3. Let T, = (v,e,) and T, = (v,e,) be two trees with e, = 12 and v, = 3 + 5v,. Find: and Remember: e…

A: As e=v-1 e1=v1-1⇒12=v1-1⇒v1=12+1=13v2=3+5v1=3+513=3+65=68e2=v2-1=68-1=67

Q: 1.4.9. Given sets A, B, and C, prove the following statements. (a) A has the same cardinality as A.…

A: Given below the detailed solution

Q: {1, x + x², x²} ≤ P2. Show that this is a spanning set for P2

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Q: 1 2 3 4 5 Q.5. Let A 0 1 2 3 -1 2012-2 " u || - 2 3 2 نیا 1 and v = 0 2 (a) Determine if u € NulA.…

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Q: write each of the following sets by listing their elements between braces. Please show work.

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Q: 4. Let X be an ordered set, and A C X . Show that (a) For every x, x has at most one immediate…

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Q: Prove that intersection of any class of convex subsets of N is convex?

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Q: Using Exact Differential Equations, solve: (x + 4x²³ siny)dx + x4 cosy dy =

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Q: d) Find a minimal spanning tree in the following weighted graph using the Prim's algorithm. V7 V6 V4…

A: As per the Prim's algorithm first in the given graph G, we need to remove the loops and parallel…

Q: The decision variant of the maximum independent set problem is stated as follows. Given an…

A: Given:-           The decision variant of the maximum independent set problem is stated as follows.…

Q: Suppore that A and B aru Awre set such that (AI= IB1 Show that %3D (P(A), P(B) denote the pouser…

A: We used the concept that if a set contains n elements then it power set contains 2n elements .

Q: Consider a bipartite graph on the set A = {1,2,3, 4, 5, 6} and B = {7,8,9, 10, 11, 12}, there is an…

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Q: 1. Find all regular points of the set : {x € Rª | 2(x1+x2+x3)³ +3(x1+x2+x3)² = 1, x²+x²+x²+x4 = 1}.

A: The given set is: x∈R4|2(x1+x2+x3)3+3(x1+x2+x3)3=1,x12+x22+x32+x4=1

Q: 2. Use the shortest path algorithm for DAG to find the shortest paths and distances from the source…

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Q: 3. Given R = {(a, e), (b, a), (b, d), (c, d), (d, a), (d, c), (e, a), (e, b), (e, c), (e, e)} a) Use…

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Q: Given the following adjacency matrix, A, for nodes a, b, c, and d, find the transitive closure of A.…

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Q: Q21A. In what order are the vertices visited in a breadth-first search of the tree below? (Enter…

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Q: 3. Use function f(x) = *** to show that Card(R – {5}) = Card(R – {1}) step by step. (Note: Card(A)…

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Q: B E 10 H 12 14 3 6, D 10 G 15 8 A 4 5 8 11 F 11 C

A: To find the shortest path between any two nodes in a graph, apply Dijkstra's algorithm. The steps…

Q: A={ y ∣ y ∈ N and 305< y ≤ 335} A has      subsets.  A has              proper subsets.

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Q: 1. Let PC R³ be the convex polyhedron with only the following four extreme points: (0,0,0), (0, 1,…

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Q:

A: To find- Which of the following relations represented by the directed graph is symmetric?   Concept…

Q: 6. (a) Let A, B, be subsets of R. State the conditions which make the pair (A, B) Dedekind cut. (b)…

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Q: Plot Me(x), Hole), Mcvo M and Ulx).

A: Plot of the membership function μCx: Plot of the membership function μDx:

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Q: If D(L AOB) states the set of points located on the OA side containing point B and the OB side…

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Q: Jse Kruskal's algorithm to find a minimum spanning tree. } 7 a 1 8 8 6 10 9 f 2 3 5 4 d

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Q: Draw a sketch of the following subsets of R²: V. [1,2] × [1,3]. vi. Uke{1,2,3)([k, k +1] × [k, k +…

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Q: Determine the membership and the cardinality of

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Q: Consider a bipartite graph on the set A = {1,2,3,4,5,6} and B = {7,8,9,10,11,12}, where there is an…

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Q: II. Use Euclidean Algorithm to obtain x and y satisfying the equation of (50 364, 26 601) = 50 364x…

A: Calculating GCD(50364,26601) gives: 26601 = 0*50364 + 26601 50364 = 1*26601 + 23763 26601 = 1*23763…

Q: Identify all nonempty set/s from the following A = {x|x € N, 2x + 7 = 3} B = {x|x € Z, 2x + 7 = 4} C…

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Q: Let N (A) A = = span 4 5 -6 -2 -2 6 2 -4 - 10 –7 6 2 Find a spanning set for the null space of A. -4…

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