An algebraic characterization of semantic independence
β Scribed by Bernhard von Stengel
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 766 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A cycle in a graph is a set of edges that covers each vertex an even number of times. A cocycle is a collection of edges that intersects each cycle in an even number of edges. A bicycle is a collection of edges that is both a cycle and a cocycle. The cycles, cocycles, and bicycles each
## Abstract We give a detailed algebraic characterization of when a graph __G__ can be imbedded in the projective plane. The characterization is in terms of the existence of a dual graph __G__\* on the same edge set as __G__, which satisfies algebraic conditions inspired by homology groups and inte
## Abstract It is shown that major independence conditions for left and right group operator algebras coincide. If Ξ£ is a discrete ICC group, then the reduced left and right group algebras __W__^\*^~__Ξ»__~(Ξ£) and __W__~__Ο±__~^\*^(Ξ£) are __W__^\*^βindependent. These algebras are moreover independent
We introduce the notion of a minimal extension of t-groups. Linear independence of the coordinates of the logarithm of an algebraic point in a minimal extension of t-groups follows naturally from linear independence of the coordinates of the image in the tangent space of the base t-group. We illustr