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math.CO2013★ 3 cited
Excluding four-edge paths and their complements
Maria Chudnovsky, Peter Maceli, Irena Penev
We prove that a graph G contains no induced four-edge path and no induced complement of a four-edge path if and only if G is obtained from five-cycles and split graphs by repeatedl…
math.CO2013
Simplicial vertices in graphs with no induced four-edge path or four-edge antipath, and the -conjecture
Maria Chudnovsky, Peter Maceli
Let be the class of all graphs with no induced four-edge path or four-edge antipath. Hayward and Nastos \cite{MS} conjectured that every prime graph in …