Geodesic
Ordered and linked chordal graphs
Discussiones Mathematicae. Graph Theory, Tome 28 (2008) no. 2, pp. 367-373.

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A graph G is called k-ordered if for every sequence of k distinct vertices there is a cycle traversing these vertices in the given order. In the present paper we consider two novel generalizations of this concept, k-vertex-edge-ordered and strongly k-vertex-edge-ordered. We prove the following results for a chordal graph G:
Keywords: paths and cycles, connectivity, chordal graphs 
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Böhme, Thomas; Gerlach, Tobias; Stiebitz, Michael. Ordered and linked chordal graphs. Discussiones Mathematicae. Graph Theory, Tome 28 (2008) no. 2, pp. 367-373. http://geodesic.mathdoc.fr/item/DMGT_2008_28_2_a11/

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