Recent questions tagged discrete

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2
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I Have doubt about the language. Is it asking about the sum of elements if we make the GBL set for the given lattice .
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I doubtWhether (a,b)R(b,c) is symmetric or antisymmetric or reflexive relationAnd how to approach this type of sums?
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Number of ways of splitting 10 people into 2 teams of 6 and 4 people respectively. Answer- $^{10}c_{6}$Number of ways of splitting 10 people into 2 teams of 5 people each...
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9
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10
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12
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14
What is the upper bound for the Chromatic Number given by Brooks' theorem for the Petersen graph? (a) 2 (b) 3 (c) 4 (d) None of the above
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15
If G is a Cubic Hamiltonian graph, then χ′(G)=(a) 3 (b) 4 (c) 5 (d) None of the above
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16
Find the Chromatic Index of the graph G given below. (a) 3 (b) 4 (c) 2 (d) None of the above
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17
Find the chromatic number of the graph G below (a) 3 (b) 4 (c) 5 (d) None of the above
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18
Consider the graph G given below. The graph G is (a) planar (b) non- planar
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20
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22
What is the chromatic number of following graphs?1)2)
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24
Determine whether (p ∧ ( p → q )) → q is Tautology , Contradiction or Contingency.
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