D. Silberger

activity

20112019

collaborators

5 papers

math.CO2019

Transpositional sequences and multigraphs

Alissa Ellis Yazinski, Raymond R. Fletcher, Donald Silberger

When $t := ⟨ t_{1}, t_{2}, \dots, t_{k} ⟩$ is a sequence of transpositions on the finite set $n := {0, 1, \dots, n - 1}$ , then $\bigcirc{\bf t}:= t_1\circ t_2\circ\cdots\circ…

math.MG2018

Rotation Groups

Donald Silberger, Sylvia Silberger

A query, about the orbit $P W$ in real 3-space of a point $P$ under an isometry group $W$ generated by edge rotations of a tetrahedron, leads to contrasting notions, $…

math.NT2017

Sums of finitely many distinct rationals

Donald Silberger, Sylvia Silberger, David Hobby

$E$ denotes the family of all finite nonempty $S \subseteq N := {1, 2, \dots}$ , and $E (X) := E \cap {S : S \subseteq X}$ when $X \subseteq N$ . Simila…

math.RA2014

Antiassociative Groupoids

Milton Braitt, David Hobby, Donald Silberger

Given a groupoid $< G, ⋆ >$ , and $k \geq 3$ , we say that $G$ is antiassociative iff for all $x_{1}, x_{2}, x_{3} \in G$ , $(x_{1} ⋆ x_{2}) ⋆ x_{3}$ and $x_{1} ⋆ (x_{2} ⋆ x_{3})$ a…

math.GR2011

Completely dissociative groupoids

Milton S. Braitt, David Hobby, Donald Silberger

Consider arbitrarily parenthesized expressions on the $k$ variables $x_{0}, x_{1}, ..., x_{k - 1}$ , where each $x_{i}$ appears exactly once and in the order of their indices. We call these…