Maximal directed paths in the meet digraph for independent sets of the order 4 graphs. 1 2 <- 3,4 2 <- 4,5 2 <- 4,5,7 2 <- 4,7 3 <- 5,6 3 <- 5,6,7 3 <- 5,7 3 <- 5,7,8 3 <- 5,8 3 <- 6,7 3 <- 7,8 4 5 6 <- 8,9 7 8 9 10 11 <- emptyset