On a conjecture concerning joint spectra
β Scribed by A.T Dash
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 212 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let F be a nonempty collection of subsets of [n] = {1, 2, . . . , n}, each having cardinality t. Denote by P F the poset consisting of all subsets of [n] which contain at least one member of F , ordered by set-theoretic inclusion. In 1980, K. W. Lih conjectured that P F has the Sperner property for
## P(c, m). If the edges of a countable injinite complete graph G are exactly c-colored, then there exists a countable infinite complete subgraph H of G whose edges are exactly m-colored. The purpose of this note is to inquire as to which pairs c, m of positive integers make P(c, m) a true stateme