Geodesic
Several results on chordal bipartite graphs
Czechoslovak Mathematical Journal, Tome 47 (1997) no. 4, pp. 577-583.

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The question of generalizing results involving chordal graphs to similar concepts for chordal bipartite graphs is addressed. First, it is found that the removal of a bisimplicial edge from a chordal bipartite graph produces a chordal bipartite graph. As consequence, occurance of arithmetic zeros will not terminate perfect Gaussian elimination on sparse matrices having associated a chordal bipartite graph. Next, a property concerning minimal edge separators is presented. Finally, it is shown that, to any vertex of a chordal bipartite graph an edge may be added such that the chordality is maintained.
Classification : 05C38, 05C50, 05C75, 15A06 
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     author = {Bakonyi, Mih\'aly and Bono, Aaron},
     title = {Several results on chordal bipartite graphs},
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     zbl = {0898.05043},
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Bakonyi, Mihály; Bono, Aaron. Several results on chordal bipartite graphs. Czechoslovak Mathematical Journal, Tome 47 (1997) no. 4, pp. 577-583. http://geodesic.mathdoc.fr/item/CMJ_1997__47_4_a0/