To do so, buildings with various stories and different bracing configuration including diagonal, split X, chevron (V and Inverted V) bracings were considered.
We split x into a part (x p ) parallel to b ʌ a-plane and a part (x o ) orthogonal to b ʌ a-plane.
In Figure 1, the unique kernel element is the equal split x = [ 1/3,1/3,1/3 ]; otherwise, for the single player coalition objection of the player with the minimum payoff, there is no any counter-objection.
Suppose column i of M(P) corresponds to split X.
Suppose this column corresponds to split X in tree T j ; thus, j ∈ K X (G).
For any profile P, Maj+(P) is precisely the tree that displays every split X such that.
The completion of a representative selection R = (T1,..., T k ) for a profile P is the representative selection obtained as follows: For every i ∈ K, is the tree constructed by inserting into T i each plenary split X = A| B compatible with T i such that.
Given a plenary split X = A| B, define and The theorem below, proved elsewhere (Dong, Fernández-Baca, McMorris, and Powers: Majority-rule consensus trees, unpublished), characterizes the majority-rule consensus tree of a profile and implies that this tree can be computed in polynomial time.
