Sentence examples for Two mul from inspiring English sources

Two Mul(18,18) to compute the square of the results above.

Any two MUL-trees with the same information content have the same MRF.

Computing the RF distance between two mul-trees is NP-complete.

We show that any two MUL-trees with the same information content exhibit the same reduced form.

Ganapathy et al. [ 34] gave a worst-case exponential time algorithm for computing the RF distance between two mul-trees.

As Figure 2 illustrates, two mul-trees T 1 and T 2 such that Σ (T 1 ) = Σ (T 2 ) may not be isomorphic.

Our contributions are as follows: We study the problem of computing the RF distance between two mul-trees, and show that it is NP-complete (Theorem 1).

Let T = (T, φ ) and S = (S, ϕ ) be two mul-trees, on X and Y, respectively, such that and have matching label multiplicities.

Since any two MUL-trees with the same information content have the same MRF, rather than comparing MUL-trees directly, we can instead compare their MRFs.

We prove that it is NP-hard to compute the RF distance between two mul-trees; however, it is easy to calculate this distance between a mul-tree and a singly-labeled species tree.

The Robinson-Foulds (RF) distance between two mul-trees T 1 and T 2 with identical label sets and matching label multiplicities, denoted by RF (T 1, T 2 ), is defined as the minimum number of contractions and refinements necessary to transform T 1 into another mul-tree isomorphic to T 2 [ 33, 34].