Perfectly contractile diamond-free graph
✍
Rusu, Irena
📂
Article
📅
1999
🏛
John Wiley and Sons
🌐
English
⚖ 415 KB
a graph with no odd hole and no stretcher is perfectly contractile, i.e., it can be reduced to a clique by successively contracting even pairs. We show that this conjecture is true for diamond-free graphs, and propose a polynomial algorithm to perform the successive contractions.