Consider the partial order L on the set A -2 Luffy, Zoro , Sanji, Chopper, Robin, ノ Bronk, Nami, Usopp , Franky, Jinbe ? Luffy whore lattice diagnam is un the wight. Zoro Sanji Jinbe Robin franky Brook Usopp Nami Chopper c lo SA,X> well-ndered to?

Q: Consider the partial order &"on the ret A = 2 Luffy, Zoro, Sanji, Chopper, Robin, Brnk, Nami, Usopp…

A: It is defined as a relation R on a set A is called a partial order relation if it satisfies the…

Q: Connider the partial order x"on the ret A - { Luffy, Zoro, Sanj'i, Chopper, Robin, %3D Brook, Nami,…

A: A non-empty set X is said to be in partial ordering if it follows three properties named reflexive,…

Q: The subgraph-isomorphism problem takes two graphs G1 and G2 and asks vhether G1 is isomorphic to a…

A: Actually, graph is a non-linear data structure which consisting of nodes and edges.

Q: (This question has nothing to do with colorings.) Suppose a graph G has a Hamilton path consisting…

A: One of the most seriously concentrated on regions in diagram hypothesis manages questionsconcerning…

Q: 2. Consider the language DOUBLE-SAT, all of the boolean expressions with at least two satisfying…

A: Consider the expression: F = (~x ^ y ) v ( x ^ ~y ) where , ^ = AND and ~ means compliment. Then F…

Q: Q. For a given graph G = (V,E), a subset SCVIS called an independent set if (u,v) E E for every pair…

A:

Q: Given set S and T. Both S and T are not TM-decidable but both sets are TM-recognizable.   Is the…

A: SUMMARY: -Hence, we discussed all the points.

Q: Determine whether the poset({1,2,3,4,5},“divides") is a lattice or not. If a,b,c are elements of a…

A: Answer: we have write answer in handwritten we have inserted in next page.so you can clearly see my…

Q: Show that property (3) of a matroid implies: For any S ∈ I, {x} ∈ I, there exists y ∈ S, such that S…

A: The answer as follows

Q: What kind of certificate for the independent set decision problem for a graph G = (V,E) and an…

A: (B) Arbitrary/ Independent set of V of size k

Q: Prove the implication rule.That is, prove that (P → Q) ↔ (P′ ∨ Q) is a tautology.

A: Any expression with some logical notations can be stated as "Tautology" if all the expression…

Q: Let G be a graph with n vertices. The k-coloring problem is to decide whether the vertices of G can…

A: First, we first prove two claims. 1. For each vertex v, its neighborhood N(v) is a bipartite graph…

Q: You are given a graph G, and the problem is to test whether there is a cycle of length at most 1000…

A: To solve this problem, DFS (Initial Search Depth) can be used effectively. By using DFS we obtain…

Q: You are given a graph G, and the problem is to test whether there is a cycle of length at most 1000…

A: To solve this problem, DFS (Initial Search Depth) can be used effectively. By using DFS we obtain…

Q: 4. The subgraph-isomorphism problem takes two graphs G1 and G2 and asks whether Gl is isomorphic to…

A: Actually, graph is a non linear data structure which consisting of nodes and edges.

Q: 15. If S1 and S2 are two semialgebras of subsets of 2, show that the class S1S2 := {A1A2 : A1 e S1,…

A: Given : Given two semi algebra classes. Name of classes : S1 and S2.

Q: 2. Show that the following languages are in NP, by providing a non-deterministic algorithm. You are…

A: A=<G,K>|G is K-colorable Answer: In undirected graph G k-coloring  is an assignment of colors…

Q: Show that the property of being connected is an equivalence relation. That is, for any undirected…

A: Actually, The given information is: That is, for any undirected graph and any two vertices,v, and w,…

Q: From the allowing astomo, givn a forward chaining of the sutence 7 <= 3+9. Show anly th Bepo that…

A:

Q: Show by membership that for all sets A, B and C: А - (AnB) CA - В

A: Given: We have to show that for all sets A , B and C:  A - (A ∩ B) ⊆ A - B

Q: forward-chaining of the stence 7 <= 3+9. Show inly t anly the asioms gven hern and not anything dse…

A:

Q: Let R=ABCDEGHK and F= {ABK→C, A→DG, B→K, K→ADH, H→GE} . Is it in BCNF? Prove

A: The FDs are ABK→C A→DG B→K K→ADH H→GE Closure (B) ={B, K, A, D, H, G, E, C}

Q: Show by membership that for all sets A, B and C: A - (AnB) CA-B

A: We are given a relation in sets and we have to prove whether given relation is true or not. We will…

Q: Show by membership that for all sets A, B and C: A - (ANB) CA-B

A:

Q: ssume the existence of a family of graphs G. where for any G E G of size n, x(G) 2 a(n) d girthG >…

A: SUMMARY: -   Hence , we discussed all the points.

Q: (8) Consider an undirected graph G, and the relation R(u, v) that is defined as “there is a path…

A: According to the information given:- We have to find in correct option to satisfy the condition.

Q: From the Pollowineg asiomɔ, qn a Porwerd chaining p of the sutence 7k 3+9. Show inly the only the…

A:

Q: Prove that ((P Ꚛ Q) →¬R) ↔¬P is a tautology, a contradiction or contingency.

A: Prove that ((P Ꚛ Q) →¬R) ↔¬P is a tautology, a contradiction or contingency.

Q: Prove that ((P Ꚛ Q) →¬R) ↔¬P is a tautology, a contradiction or contingency.

A: Formulas used:        (P Ꚛ Q) =(P'Q) + (PQ')       (P→Q) = P' OR Q       (P ↔ Q) = (P→Q) AND (Q→P)…

Q: (a) All you know about two sets S and T is that they are subsets of the universal set U = {1,2,3,4,…

A: a) The size of the subset is 5 and the size of the subset T is 3. Now the possible values of S∩T…

Q: 9. Consider an prime 2:1 with common gamel scheme primitive yoot a = . a) f B has a A' choou a…

A: The Answer is in Below steps

Q: A natural number is composite if and only if it is not prime. Give a non-deterministic TM over the…

A: Answer: I have given answer in the handwritten format.

Q: A set S of logical connectives is said to be (logically) complete if each of ¬,∨, and ∧ can be…

A: Given: A set S of logical connectives is said to be (logically) complete if each of ¬,∨, and ∧ can…

Q: A set S of logical connectives is said to be (logically) complete if each of ¬,∨, and ∧ can be…

A: Given: A set S of logical connectives is said to be (logically) complete if each of ¬,∨, and ∧ can…

Q: say a R-colorin assign colors to vertices of G such that for every edge (v, w) E E, the color of v…

A: It is defined as a common data structure that consists of a finite set of nodes (or vertices) and a…

Q: You are given a cluster an of length n. You are approached to deal with q inquiries of the…

A: Here have to determine about the cluster an of length problem statement.

Q: Prove by contradiction, for any sets A and B , if A C A– B, then An B=Ø

A: Here given, two sets A and B; given: A ⊆ A-B To prove:A∩ B=∅

Q: determine whether the given pair of graphs is isomorphic. Exhibit an isomorphism or provide a…

A:

Q: 3. Let G = (V, E) be a directed graph with |V|= n. We say that an order vi < v2 < • ·…< vn on V is a…

A: Dear Student, We cannot find the Topological order of an directed cyclic graph in our graph a cycle…

Q: Determine whether the given pair of graphs is isomorphic. Exhibit an isomorphism or provide a…

A: Consider the following graph: Let the graph with vertices from u1 to u8 be graph U and the graph…

Q: Consider the following set of FD's: F = {A → B, B → A, A → C, C → A}. Which of the following sets of…

A: To be a canonical cover of an FD it must follow 3 rules: 1) Singleton RHS {means  X-&gt;YZ  this…

Q: Determine whether the given pair of graphs is isomorphic. Exhibit an isomorphism or provide a…

A: Solution: A two graph that have  same count of vertices, edges, with the edge connectivity retained…

Q: Are the two graphs isomorphic? If so, find the isomorphism. a b 3 0 C e 2 G G' They are not…

A: To find whether the given two graphs named G and G’ are isomorphism or not. Graph: A graph is a set…

Q: Q2: Assume we have a robot in the Vacuum-world Problem which described in our lectures. If we extend…

A: Answer: I have given answered in the handwritten format in brief explanation

Q: Let A, B,C be sets. Prove or disprove A - (A – B) = AnB

A: It is defined as a natural for us to classify items into groups, or sets, and consider how those…

Q: Show that (a*b) O (b*c) Ð (c*a) = (a © b) * (b Ð c) * (c O a). Let (L,a ^ b = a ea v b=b.

A: Using boolean logic to solve.

Q: 3. a) Using the Handshaking Principle, determine the number of edges of a graph with fourteen (14)…

A: 3 a. Given: Number of vertices -14 Degree of each vertex = 6 Number of edges =? The Handshaking…

Q: show that x^2ln(x) belongs to a class of small o of e^x using hopital rule.

A: show that x^2ln(x) belongs to a class of small o of e^x using hospital rule. Solution

Q: 1. Determine whether the relation R on set Z (set of integer number) is reflexive, irreflexive,…

A:

Q: 1. Determine whether the relation R on set Z (set of integer number) is reflexive, irreflexive,…

A: Answer :