Q. In which of the following relations every pair of elements is comparable?

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Q. In a poset (S, ⪯), if there is no element n∈S with m<n, then which of the following is true?

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Q. In a poset P({v, x, y, z}, ⊆) which of the following is the greatest element?

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Q. Suppose P₁ is a partially ordered class and a cut of P₁ is pair (D, T) of nonempty subclasses of P₁ satisfies which of the following properties?

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Q. Let G be the graph defined as the Hasse diagram for the ⊆ relation on the set S{1, 2,…, 18}. How many edges are there in G?

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Q. A Poset in which every pair of elements has both a least upper bound and a greatest lower bound is termed as _______

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Q. In the poset (Z⁺, |) (where Z⁺ is the set of all positive integers and | is the divides relation) are the integers 9 and 351 comparable?

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Q. If every two elements of a poset are comparable then the poset is called ________

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Q. ______ and _______ are the two binary operations defined for lattices.

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Q. A ________ has a greatest element and a least element which satisfy 0<=a<=1 for every a in the lattice(say, L).

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Q. A sublattice(say, S) of a lattice(say, L) is a convex sublattice of L if _________

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Q. Every poset that is a complete semilattice must always be a _______

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Q. A free semilattice has the _______ property.

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Q. The maximum number of edges in a bipartite graph on 14 vertices is ___________

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Q. In a ______ the degree of each and every vertex is equal.

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Q. The time complexity to test whether a graph is bipartite or not is said to be _______ using depth first search.

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Q. The partition V = V₁ ∪ V₂ in a bipartite graph G₁ is called ________

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Q. What is the maximum number of edges in a bipartite graph on 14 vertices?

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Q. In a complete bipartite graph, the intersection of two sub graphs is ______

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Q. Bipartite graphs are used in ________

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