Here is one reference, a 2010 book that may lead to other literature: Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization, by Levent Tunçel:
AntiHoles http://cs.smith.edu/~orourke/MathOverflow/AntiHoles.png
Here is one reference, a 2010 book that may lead to other literature: Polyhedral and Semidefinite Programming Methods in Combinatorial Optimization, by Levent Tunçel: