Coll, Vincent; Hyatt, Matthew; Magnant, Colton; Wang, Hua Meander graphs and Frobenius seaweed Lie algebras. II. (English) Zbl 1394.17022 J. Gen. Lie Theory Appl. 9, No. 1, Article ID 1000227, 7 p. (2015). Summary: We provide a recursive classification of meander graphs, showing that each meander is identified by a unique sequence of fundamental graph theoretic moves. This sequence is called the meander’s signature and can be used to construct arbitrarily large sets of meanders, Frobenius or otherwise, of any size and configuration. In certain special cases, the signature is used to produce an explicit formula for the index of seaweed Lie subalgebra of \(\mathfrak{sl}(n)\) in terms of elementary functions.For Part I see J. Gen. Lie Theory Appl. 5, Article ID G110103, 7 p. (2011; Zbl 1235.17003). Cited in 8 Documents MSC: 17B20 Simple, semisimple, reductive (super)algebras Keywords:biparabolic; Frobenius; Lie algebra; meander graphs; seaweed algebra Citations:Zbl 1235.17003 PDFBibTeX XMLCite \textit{V. Coll} et al., J. Gen. Lie Theory Appl. 9, No. 1, Article ID 1000227, 7 p. (2015; Zbl 1394.17022) Full Text: Euclid Link Online Encyclopedia of Integer Sequences: Powers of 2: a(n) = 2^n. a(n) is the number of integer partitions of n for which the greatest part minus the least part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. a(n) is the number of integer partitions of n for which the Kimberling index is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. a(n) is the number of integer partitions of n for which the length is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. a(n) is the number of integer partitions of n for which the smallest part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. a(n) is the number of integer partitions of n for which the largest part is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. a(n) is the number of integer partitions of n for which the rank is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. a(n) is the number of integer partitions of n for which the crank is equal to the index of the seaweed algebra formed by the integer partition paired with its weight.