3] and a binary incidence relation contained in P XQ For a finite set P [?

Recall that we consider two families P and Q with an incidence relation in P X Q, and that a t-subset S of P is said to be degenerate whenever there exists q [member of] Q such that every p [member of] S is incident to q.

The incidence relation between points in P and hyperplanes in Q is the standard incidence relation between points and hyperplanes.

These statements give guarantees on the size of a clique or an independent set in (hyper)graphs induced by incidence relations between lines, points, and reguli in 3-space.

In this paper we formalise the technique used in those proofs in order to easily apply it to other incidence relations.

In this section and the next, we exploit those recent results to obtain various new Ramsey-type statements on point-line incidence relations in space.

alpha][member of]A] L([alpha]) with R(b,a)[member of]L(a) is an incidence relation, which represents a degree from the structure L(a) in which an element b[member of]B has a given attribute A [member of] A.

Finally, the incidence relation R is given in Table 1.

Decide whether there exists (in affirmative case also find) an incidence relation R: B x A [right arrow] [[union].

Algorithm I for deciding existence of the incidence relation R Input: a set of pairs C Output: answer YES or NO 1: [C.

We describe a procedure for finding the incidence relation corresponding to C.

This yields that the value of the incidence relation R(b, a) is fully determined by the a-th projection of [{b}.