Fujita, T. and Yamazaki, K. (2017) Linear-Width and Single Ideal. The 20th Anniversary of the Japan Conference on Discrete and Computational Geometry, Graphs, and Games, Tokyo University of Science, 29th August-1st September 2017, 110-111.
http://www.jcdcgg.u-tokai.ac.jp/JCDCG3_2017_abstracts.pdf

has been cited by the following article:

• TITLE: Equivalence between Linear Tangle and Maximal Single Ideal

  AUTHORS: Takaaki Fujita, Koichi Yamazaki

  KEYWORDS: Linear Tangle, Maximal Single Ideal, Submodular Function

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.9 No.1, December 25, 2018

  ABSTRACT: 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.