Classes of bipartite graphs related to chordal graphs

Abstract This paper examines in a systematical way connections between chordal, strongly chordal and split graphs and bipartite graphs with chordality properties and introduces a further notion of chordality for bipartite graphs which is called here semichordality and which gives a natural extension of the class of chordal bipartite graphs and is incomparable with the class of perfect elimination bipartite graphs.