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arxiv: 1405.0588 · v1 · pith:HJM7HSZZnew · submitted 2014-05-03 · 🧮 math.CO

A Characterization of Substar Graphs

classification 🧮 math.CO
keywords graphssubstarcharacterizationforbiddeninducedintersectionlistminimal
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The intersection graphs of stars in some tree are known as substar graphs. In this paper we give a characterization of substar graphs by the list of minimal forbidden induced subgraphs. This corrects a flaw in the main result of Chang, Jacobson, Monma and West (Subtree and substar intersection numbers, Discrete Appl. Math. 44, 205-220 (1993)) and this leads to a different list of minimal forbidden induced subgraphs.

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