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The overlap graphs of subtrees of a tree are equivalent to subtree filamentgraphs, the overlap graphs of subtrees of a star are cocomparability graphs,and the overlap graphs of subtrees of a caterpillar are interval filamentgraphs. In this paper, we show the equivalence of many more classes of subtreeoverlap and subtree filament graphs, and equate them to classes of complementsof cochordal-mixed graphs. Our results generalize the previously known resultsmentioned above.

Equivalence of the filament and overlap graphs of subtrees of limited trees