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Several options could be used to automatically define neighbors for every cell in the scenario.
LISA statistics were used by applying queen contiguity matrix in GeoDa software (version 1.6.7 1 to define neighbors (queen contiguity refers to corner and edge neighbors).
20, 21 We used Gabriel graphs to define neighbors.
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Our choice of a Gabriel graph to define neighbor relations introduces a bias against small interneighbor angles, when compared against measurements made over a Delaunay triangulation; very acute angles correspond to long, thin Delaunay triangles, which are usually excluded from Gabriel graphs due to the neighbor criterion used.
After the core (orthologs present in all genomes), distributed (orthologs present in two or more but not all genomes), and unique (present in only one genome) genes were identified, the presence or absence of the distributed genes in each of the 17 strains was used to define neighbor groups of the genomes under study, as described [ 23].
A Gabriel graph was constructed to identify neighboring active regions on a single-condition map. Figure 2 illustrates the result of this process, with further examples for patch-labeling injections given in Figure 6 and Supplementary Figures 1– 3. Gabriel graphs define neighbor relationships between a set of points over space (Gabriel and Sokal 1969).
This can be realized by assigning either the radius (distance) of a smoothing window or by defining neighbors and number of neighbors, and is predicated on the first law of geography which states that "everything is related to everything else, but near things are more related than distant things" [ 40].
All these methods were run using the best model chosen by AIC on a defined Neighbor-Joining (NJ) phylogenetic tree after running GARD to detect recombination.
In addition to this "first-neighbor" metabolic network analysis, a similar "second-neighbor" analysis was performed that defined neighbor correlations for all genes within two reaction steps of the lipid/metabolite in question.
We show that this classification will more accurately define kinase neighbors in terms of bioactivity similarity in response to inhibitors, and will therefore be more valuable in predicting kinase inhibitor promiscuity.
Similarly, we define time neighbors simply by the two adjacent time points, with associated time adjacency matrix Q.
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