Asian Research Journal of Mathematics

Proving Maximal Linear Loose Tangle as a Linear Tangle

Takaaki Fujita *

Graduate School of Science and Technology, Gunma University, 1-5-1 Tenjin-Cho, Kiryu Gunma 376-8515, Japan.

*Author to whom correspondence should be addressed.

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Abstract

Linear-width is a well-regarded width parameter in graph theory. The constructs of linear loose tangle and linear tangle present obstacles to attaining linear-width. In this succinct paper, our primary focus will be the exploration of maximal linear loose tangles.

Keywords: Maximal linear loose tangle, linear tangle, linear loose tangle, linear tangle matroid

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