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We now focus on the use of Datalog for defining properties and queries m graphs.
(a) Suppose that P is some property of graphs definable in Datalog. Show drat P is preserved under extensions and homomorphisms. That is, if G is a graph satisfying P, then every supergraph of G (i.e., graph extending G) satisfies P, and if h is a graph homomorphism, then h (G) satisfies P.
Which of the following properties and queries on graphs are definable in Datalog?
b) The number of vertices is even.
(c) There is a simple path (i.e., a path without repeated vertices) of even length between two specified vertices.
(d) The binary relation T containing all pairs of vertices (a, D) for which there is a path of even length from o to b. Provide either a Datalog program defining the property or query or an argument why the property or query is not definable in Datalog.
one half y minus 14
state tha different types of models used in operations research.
Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
4.2^2x+1-9.2^x+1=0
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Marvin is helping his teachers plan a ?eld trip. There are 125 people going on the ?eld trip and each school bus holds 48 people. What is the minimum number of school buses they wi
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