Matrices, graphs and equivalence relations |
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Authors: | Libero Verardi |
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Affiliation: | (1) Dipartimento di Matematica, Piazza di Porta San Donato, 5 40127 Bologna, Italy. e-mail: verardi@dm.unibo.it, IT |
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Abstract: | A suitable equivalence relation is introduced on the set of square matrices with entries of any kind. This allows us to associate to every equivalence class an infinite family of graphs and determine their topological properties. When a given square matrix is the multiplication table of a finite groupoid, some connections between algebraic properties of the groupoid and topological properties of these graphs are proved. Received: May 4, 1999 Published online: December 19, 2001 |
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Keywords: | : combinatorics – graphs – groupoids – composition tables |
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