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On a generalization of the Evans Conjecture |
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| Authors: | Jaromy Scott Kuhl |
| Institution: | a Department of Mathematics and Statistics, University of West Florida, Pensacola, FL 32514, USA b Department of Mathematics, University of Mississippi, University of Mississippi, MS 38677, USA |
| Abstract: | The Evans Conjecture states that a partial Latin square of order n with at most n-1 entries can be completed. In this paper we generalize the Evans Conjecture by showing that a partial r-multi Latin square of order n with at most n-1 entries can be completed. Using this generalization, we confirm a case of a conjecture of Häggkvist. |
| Keywords: | Complete partial _method=retrieve& _eid=1-s2 0-S0012365X07007170& _mathId=si3 gif& _pii=S0012365X07007170& _issn=0012365X& _acct=C000069490& _version=1& _userid=6211566& md5=d67edd87f4d1e6ba37c97d5d1cb87ea5')" style="cursor:pointer r-multi latin square" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">r-multi latin square |
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