hem08: Counterexample from Hemmecke et al. (2008)

In rje42/imset: Methods for imsets with mixed graphs

Counterexample from Hemmecke et al. (2008)

Description

This is an imset that is structural but not combinatorial. Code to recreate it is given below.

Usage

hem08

Format

An object of class imset of length 32.

References

Hemmecke et al. (2008) Three Counter-Examples on Semi-Graphoids, Combinatorics Probability and Computing, 17(2):239-257.

Examples

is_combinatorial(hem08)
is_structural(hem08)

## code to recreate hem08
u <- elem_imset(4, 5, 2) + elem_imset(4, 5, 3) +
  elem_imset(1, 3, 4) + elem_imset(1, 2, 5) +
  elem_imset(2, 5, c(1,4)) + elem_imset(4, 3, c(1,5)) +
  elem_imset(1, 4, c(2,3)) + elem_imset(1, 5, c(2,3)) +
  elem_imset(1, 4, c(3)) + elem_imset(1, 5, c(2)) +
  elem_imset(2, 3, 4) + elem_imset(2, 3, 5) +
  elem_imset(4, 3, 1:2) + elem_imset(2, 5, c(1,3)) +
  elem_imset(1, 3, 4:5) + elem_imset(2, 1, 4:5)

rje42/imset documentation built on March 20, 2023, 9:55 a.m.