A Point-Symmetric Graph that is Nowhere Reversible
Copyright policy )A Point-Symmetric Graph that is Nowhere Reversible
It is the purpose of this note to investigate the relationships among four concepts relating to symmetry in graphs: point-symmetry, line-symmetry, arc-symmetry and reversibility; especially which of the first three properties do not imply reversibility. Holt has found a counterexample to one such question and we construct a counterexample to another using a Cayley graph. Both examples are nowhere reversible, a property which is stronger than nonreversibility.
Extremal problems in graph theory, arc-symmetry, reversibility, line-symmetric, Cayley graph, Graphs and abstract algebra (groups, rings, fields, etc.), point-symmetric
Extremal problems in graph theory, arc-symmetry, reversibility, line-symmetric, Cayley graph, Graphs and abstract algebra (groups, rings, fields, etc.), point-symmetric
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