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The canonical permutation ensures that if two graphs are isomorphic, their adjacency matrices will be identical after applying their respective canonical permutations.
As a result, J P) is simply obtained as half the number of entries that are simultaneously equal to 1 in both binary matrices A G and PA H P T (each conserved interaction results in two identical entries, by symmetry of the adjacency matrices).
The two Halocynthia mt genomes share six identical gene blocks (51% of the gene adjacencies are shared between the two mt genomes), with the largest of these blocks consisting of seven genes (fig. 3).
Further, using Proposition 10 in the appendix, one can show that the factorizability is given by (19) F (A ) = n 1 (n 1 − 1 ) b 1 2 n 1 (n 1 − 1 ) b 1 2 + n 2 (n 2 − 1 ) b 2 2. In particular, if n1 ≈ n2 and b1 = b2, i.e. if the adjacency matrix is comprised of two nearly identical blocks, the factorizability is F(A) ≈ 1/2.
The BPAnalysis program [ 72] was used to calculate the breakpoint distances between pairs of genomes with identical gene content (i.e. the number of gene adjacencies present in one genome but absent in the other).
Interestingly, the gene adjacencies at the IR borders in Ophioglossum and Equisetum are virtually identical to those found outside the monilophytes, including the lycophyte Huperzia lucidula, the mosses Physcomitrella patens and Syntrichia ruralis, and the liverworts Aneura mirabilis, Marchantia polymorpha, and Ptilidium pulcherrimum.
Adjacency is too demure.
"The overwhelming concern is adjacency," he said.
The adjacency is meaningful to Mr. Wolff.
Adjacency matrix and its use.
There is the adjacency list.
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