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Characterising AT-free Graphs with BFS
[article]
2018
arXiv
pre-print
An asteroidal triple free graph is a graph such that for every independent triple of vertices no path between any two avoids the third. In a recent result from Corneil and Stacho, these graphs were characterised through a linear vertex ordering called an AT-free order. Here, we use techniques from abstract convex geometry to improve on this result by giving a vertex order characterisation with stronger structural properties and thus resolve an open question by Corneil and Stacho. These
arXiv:1807.05065v1
fatcat:ubnc6vlmuzburj5ty5yxcx5eby