Let n be a positive integer. A tournament is called n-existentially closed (or n-e.c.) if for every subset S of n vertices and for every subset T of S, there is a vertex x / S whi...
A quasigroup (Q, ∗) is called totally anti-symmetric if (c ∗ x) ∗ y = (c ∗ y) ∗ x ⇒ x = y and x∗y = y∗x ⇒ x = y. A totally anti-symmetric quasigroup can be used ...
— In all-optical networks that use WDM technology it is often the case that several communication requests have to be blocked, due to bandwidth and technology limitations. Minimi...
A coterie is a family of subsets such that every pair of subsets in it has at least one element in common but neither is a subset of the other. We introduce an operator , which