%0 Journal Article %T Equivalence between Linear Tangle and Maximal Single Ideal %A Takaaki Fujita %A Koichi Yamazaki %J Open Journal of Discrete Mathematics %P 7-10 %@ 2161-7643 %D 2019 %I Scientific Research Publishing %R 10.4236/ojdm.2019.91002 %X The concept of linear tangle was introduced as an obstruction to mixed searching number. The concept of single ideal has been introduced as an obstruction to linear-width. Moreover, it was already known that mixed search number is equivalent to linear-width. Hence, by combining those results, we obtain a proof of the equivalence between linear tangle and single ideal. This short report gives an alternative proof of the equivalence. %K Linear Tangle %K Maximal Single Ideal %K Submodular Function %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=89377