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On Compositeness in Multicompositions
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Temba ShonhiwaThe paper investigates the structure of the highly composite multicomposition function gm (n) which enumerates the number of m-compositions of n into relatively prime positive summands. Among other results, we generalize a known result by establishing that the lcm -
The world ‘topsy-turvy’ and the ancient Near Eastern cultures: a few examples
Item type: Journal Article • Journal: Anthropology Southern Africa • Authors: Paul A. Kruger --- Department of Ancient Studies,This paper considers socio-political examples of the universal cultural phenomenon of symbolic inversion (mundus inversus), the earliest instances of which can be traced back to the cultures of the ancient Near East. Symbolic inversion refers to manifestations of expressive behaviour... -
On 0012-avoiding inversion sequences and a conjecture of Lin and Ma
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Shane Chern --- Dalhousie University, CanadaThe study of pattern avoidance in inversion sequences recently attracts extensive research interests. In particular, Zhicong Lin and Jun Ma conjectured a formula that counts the number of inversion sequences avoiding the length-four pattern 0012. Our object of the paper... -
Restricted inversion sequences and Schröder paths
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: David Callan --- University of Wisconsin-Madison, USA Toufik Mansour --- University of Haifa, IsraelIn this paper, we find an explicit formula for the number of inversion sequences of length n that avoid each of the pattern sets {021, 010}, {021, 011}, {021, 100, 101}, {021, 000, 101}, and {101, 102, 201}. This is... -
Lattice points on polyominoes of inversion sequences
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: José L. Herrera --- Universidad del Cauca, Colombia Toufik Mansour --- University of Haifa, Israel J.L. Ramírez --- Universidad Nacional de Colombia, ColombiaInversion sequences of length n are positive integer sequences e 1 e 2 …e n such that 1 ≤ ei ≤ i for all 1 ≤ i ≤ n. These sequences are in bijection with the permutations of [n]...