Ian Caines

  • Citations Per Year
Learn More
An isometric path is merely any shortest path between two vertices. If the vertices of the hypercube Qn are represented by the set of 0–1 vectors of length n, an isometric path is obtained by changing the coordinates of a vector one at a time, never changing the same coordinate more than once. The minimum number of isometric paths required to cover the(More)
This thesis deals with AS-regular algebras, first defined by Michael Artin and William Schelter in Graded Algebras of Global Dimension 3. All such algebras of dimension three have been classified, but the corresponding problem in higher dimensions remains open. We construct new examples of four dimensional AS-regular algebras, and provide some information(More)
In contrast to other branches of government, the Supreme Court of Canada operates with relatively lean staffing. For most of the Court’s history, its justices alone determined which cases to review, heard oral argument, and wrote opinions. Only since 1967 have justices have been aided in these responsibilities by law clerks. While interest abounds in the(More)
  • 1