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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Equivalence of the filament and overlap graphs of subtrees of limited trees
Author(s): Enright, Jessica
Stewart, Lorna
Issue Date: 20-Jun-2017
Citation: Enright J & Stewart L (2017) Equivalence of the filament and overlap graphs of subtrees of limited trees, Discrete Mathematics and Theoretical Computer Science, 19 (1), Art. No.: 20.
Abstract: The overlap graphs of subtrees of a tree are equivalent to subtree filament graphs, the overlap graphs of subtrees of a star are cocomparability graphs, and the overlap graphs of subtrees of a caterpillar are interval filament graphs. In this paper, we show the equivalence of many more classes of subtree overlap and subtree filament graphs, and equate them to classes of complements of cochordal-mixed graphs. Our results generalize the previously known results mentioned above.
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Rights: Copyright by the authors. The article is distributed under a Creative Commons Attribution 4.0 International License.

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