Name
Abstract | ||
|---|---|---|
Let r, c, s is an element of {1, 2, ..., n} nand let P be a partial latin square of order n in which each nonempty cell lies in row r, column c, or contains symbol s. We show that if n is not an element of {3, 4, 5} and row r, column c, and symbol s can be completed in P, then a completion of P exists. As a consequence, this proves a conjecture made by Casselgren and Haggkvist. Furthermore, we show exactly when row r, column c, and symbol s can be completed. |
Year | Venue | Field |
|---|---|---|
2016 | ELECTRONIC JOURNAL OF COMBINATORICS | Row and column spaces,Discrete mathematics,Combinatorics,Symbol,Latin square,Conjecture,Mathematics |
DocType | Volume | Issue |
Journal | 23.0 | 2.0 |
ISSN | Citations | PageRank |
1077-8926 | 1 | 0.36 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jaromy Kuhl | 1 | 10 | 4.72 |
| Michael W. Schroeder | 2 | 22 | 4.37 |