Browsing NUI Galway Theses by Author "Quinlan, Rachel"
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Completions of partial matrices
McTigue, James (20150323)A partial matrix over a field is a matrix whose entries are either elements of the field or independent indeterminates. A completion of a partial matrix is any matrix that results from assigning a field element to each ... 
Edge colourings and Latinlike squares: Combinatorial structures arising from alternating sign matrices
O'Brien, Cian (NUI Galway, 20200409)An alternating sign matrix is a (0, 1, −1)matrix in which the nonzero entries of each row and column alternate in sign, starting and ending with 1. An alternating signed bipartite graph (ASBG) is a bipartite graph G whose ... 
Edgeminimal graphs of exponent 2
O'Mahony, Olga (20171121)A simple undirected finite graph G has the me_2property if every pair of distinct vertices of G is connected by a path of length 2, but this property does not survive the deletion of an edge. If u and v are adjacent ... 
Features and purposes of mathematical proofs in the view of novice students: observations from proof validation and evaluation performances
Pfeiffer, Kirsten (20101222)This thesis describes a comprehensive exploratory study of the approaches taken by novice students to the validation and evaluation of mathematical proofs. A theoretical framework based on sociocultural learning theories ...