论文标题
签名的间隔图和Bigraphs:间隔图和Bigraphs的概括
Signed interval graphs and bigraphs: A generalization of interval graphs and bigraphs
论文作者
论文摘要
在本文中,我们定义并表征了签名的间隔图和Bigraphs,引入了负间隔的概念。我们还表明,这些类别的图形分别是众所周知的间隔图和间隔bigraphs的概括。在这种情况下,我们观察到签名的间隔图与Monma,Reed和Trotter \ Cite {22}引入的阈值公差图(Co-TT图)的补充一致。最后,我们解决了他们在同一论文中提出的禁止诱发的co-TT图的开放问题。
In this paper, we define and characterize signed interval graphs and bigraphs introducing the concept of negative interval. Also we have shown that these classes of graphs are respectively a generalization of well known classes of interval graphs and interval bigraphs. In this context we have observed that signed interval graphs coincide with the complement of Threshold tolerance graphs(co-TT graphs) introduced by Monma, Reed and Trotter \cite{22}. Finally, we have solved the open problem of forbidden induced subgraph characterization of co-TT graphs posed by them in the same paper.