Checks if a partial ranking is preserved in the ranking induced by `scores`

.

is_preserved(P, scores)

P | A partial ranking as matrix object calculated with neighborhood_inclusion or positional_dominance. |
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scores | Numeric vector containing the scores of a centrality index. |

Logical scaler whether `scores`

preserves the relations in `P`

.

In order for a score vector to preserve a partial ranking, the following
condition must be fulfilled:
`P[u,v]==1 & scores[i]<=scores[j]`

.

library(igraph) # standard measures of centrality preserve the neighborhood inclusion preorder g <- graph.empty(n=11,directed = FALSE) g <- add_edges(g,c(1,11,2,4,3,5,3,11,4,8,5,9,5,11,6,7,6,8, 6,10,6,11,7,9,7,10,7,11,8,9,8,10,9,10)) P<-neighborhood_inclusion(g) is_preserved(P,degree(g))#> [1] TRUE#> [1] TRUE#> [1] TRUE