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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.
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
OTHER WAYS TO AID LEARNING : Here we shall pay particular attention to the need for repetition, learning from other children, and utilising errors for learning.
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What is Substitution Technique of Linear Equations?
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