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Representing vertex-transitive graphs on groupoids
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Eric MwambeneVertex-transitive graphs are one of the most favoured class of graphs in modelling scientific phenomena if symmetry is at issue. An understanding of these graphs should, therefore, be an obvious undertaking. Here, we present a characterisation of vertex-transitive graphs as... -
Rotundity in transitive and separable Banach spaces
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: A. Aizpuru F.J. García-PachecoIn every separable Banach space the set of smooth points of the unit ball is a Gδ dense subset of the unit sphere. In this paper, we find some conditions in order to obtain a similar result for rotund points... -
A pointfree theory of Pervin spaces
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Célia Borlido --- Centre for Mathematics of the University of Coimbra (CMUC), Portugal Anna Laura Suarez --- Université Nice Sophia Antipolis, FranceWe lay down the foundations for a pointfree theory of Pervin spaces. A Pervin space is a set equipped with a bounded sublattice of its powerset, and it is known that these objects characterize those quasi-uniform spaces that are transitive... -
On the existence of block-transitive Steiner designs with k divides v
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Zheng Huang --- Hunan University of Science and Technology, P.R. China Weijun Liu --- Central South University, P.R. China Lihua Feng --- Central South University, P.R. ChinaIn this paper, we prove that there is no block-transitive 4-(v, k, 1) designs and 6-(v, k, 1) designs with k divides v.