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Chordal bipartite, strongly chordal, and strongly chordal bipartite graphs
Authors:Terry A McKee  
Institution:

Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435-0001, USA

Abstract:Robert E. Jamison characterized chordal graphs by the edge set of every k-cycle being the symmetric difference of k−2 triangles. Strongly chordal (and chordal bipartite) graphs can be similarly characterized in terms of the distribution of triangles (respectively, quadrilaterals). These results motivate a definition of ‘strongly chordal bipartite graphs’, forming a class intermediate between bipartite interval graphs and chordal bipartite graphs.
Keywords:Chordal graphs  Chordal bipartite graphs  Strongly chordal graphs  Bipartite interval graphs
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