Recognizing Berge Graphs.pdf.pdf' (259.84 kB)
Recognizing Berge Graphs
journal contribution
posted on 1991-01-01, 00:00 authored by Maria Chudnovsky, Gerard CornuejolsGerard Cornuejols, Xinming Liu, Paul Seymour, Kristina VušcovićA graph is Berge if no induced subgraph of G is an odd cycle of length at least five or the complement of one. In this paper we give an algorithm to test if a graph G is Berge, with running time O(|V (G)|9). This is independent of the recent proof of the strong perfect graph conjecture.