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The congruence classes of paths and cycles
Authors:Martin A Michels  Ulrich Knauer  
Institution:aCarl-von-Ossietzky Universität, D-26111 Oldenburg, Germany
Abstract:By traversing square lattices, the cardinality of the set of congruence classes induced by the graph endomorphisms of undirected paths is determined. Enhancing this idea, formulas for the cardinality of the set of endomorphisms and the set of congruence classes of undirected cycles are developed.
Keywords:Graph  Graph endomorphisms  Square lattice  Paths  Cycles
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