Jessica Enright ; Lorna Stewart - Equivalence of the filament and overlap graphs of subtrees of limited trees

dmtcs:1274 - Discrete Mathematics & Theoretical Computer Science, June 20, 2017, Vol. 19 no. 1 - https://doi.org/10.23638/DMTCS-19-1-20
Equivalence of the filament and overlap graphs of subtrees of limited trees

Authors: Jessica Enright ; Lorna Stewart

    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.


    Volume: Vol. 19 no. 1
    Section: Graph Theory
    Published on: June 20, 2017
    Accepted on: June 6, 2017
    Submitted on: June 15, 2017
    Keywords: Computer Science - Discrete Mathematics

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