A class of graphs with depression three


An edge ordering of a graph G is an injection f : E → R, the set of real numbers. A path in G for which the edge ordering f increases along its edge sequence is called an f -ascent; an f -ascent is maximal if it is not contained in a longer f -ascent. The depression of G is the smallest integer k such that any edge ordering f has a maximal f -ascent of… (More)
DOI: 10.1016/j.disc.2012.05.011


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