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Lyndon Graphs are not Hamiltonian for \(n\) Even

J. Leslie Davison1
1Department of Mathematics and Computer Science Laurentian University Sudbury, Ontario, Canada P3E 2C6

Abstract

Lyndon graphs are connected subgraphs of the \(n\)-cube which arise in the combinatorics of words. It is shown that these graphs are not Hamiltonian when \(n\) is even.