Add to ORKGIn recent times there has been some interest in studying partial latin squares which have no completions or precisely one completion, and which are critical with respect to this property. Such squares are called, respectively, premature partial latin squares and critical sets. There has also been interest in related maximal partial latin squares. This paper will explore the connection between these three structures and review some of the literature in this area. A number of open problems are presented
International audienceThe completability of incomplete latin squares can be studied along two lines:...
This thesis explores the properties of critical sets of the full n-Latin square and related combinat...
AbstractThree classes of necessary conditions for completing partial latin squares are studied. Thes...
This thesis explores the properties of critical sets of the full n-Latin square and related combinat...
In this paper, we combine the notions of completing and avoiding partial latin squares. Let P be a p...
AbstractIn this paper, we combine the notions of completing and avoiding partial latin squares. Let ...
A lot of research is being done on the various properties of Partial Latin Squares, with emphasis be...
AbstractIn this paper a certain condition on partial latin squares is shown to be sufficient to guar...
The set PLS(a, b; n) is the set of all partial latin squares of order n with a completed rows, b com...
Abstract. A classical question in combinatorics is the following: given a par-tial latin square P, w...
The set PLS(a, b; n) is the set of all partial latin squares of order n with a completed rows, b com...
The set PLS(a, b; n) is the set of all partial latin squares of order n with a completed rows, b com...
To date very Few families of critical sets for latin squares are known. The only previously known me...
Previously the process of finding critical sets in Latin squares has been inside cumbersome by the c...
In a Latin square L of order n constructed with symbol set {1,..., 2n− 2}, critical set C is a subse...
International audienceThe completability of incomplete latin squares can be studied along two lines:...
This thesis explores the properties of critical sets of the full n-Latin square and related combinat...
AbstractThree classes of necessary conditions for completing partial latin squares are studied. Thes...
This thesis explores the properties of critical sets of the full n-Latin square and related combinat...
In this paper, we combine the notions of completing and avoiding partial latin squares. Let P be a p...
AbstractIn this paper, we combine the notions of completing and avoiding partial latin squares. Let ...
A lot of research is being done on the various properties of Partial Latin Squares, with emphasis be...
AbstractIn this paper a certain condition on partial latin squares is shown to be sufficient to guar...
The set PLS(a, b; n) is the set of all partial latin squares of order n with a completed rows, b com...
Abstract. A classical question in combinatorics is the following: given a par-tial latin square P, w...
The set PLS(a, b; n) is the set of all partial latin squares of order n with a completed rows, b com...
The set PLS(a, b; n) is the set of all partial latin squares of order n with a completed rows, b com...
To date very Few families of critical sets for latin squares are known. The only previously known me...
Previously the process of finding critical sets in Latin squares has been inside cumbersome by the c...
In a Latin square L of order n constructed with symbol set {1,..., 2n− 2}, critical set C is a subse...
International audienceThe completability of incomplete latin squares can be studied along two lines:...
This thesis explores the properties of critical sets of the full n-Latin square and related combinat...
AbstractThree classes of necessary conditions for completing partial latin squares are studied. Thes...