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math.CO2024
Subdivisions of Oriented Cycles in Digraphs with Hamiltonian directed path
Abbas Alhakim, Mouhamad El Joubbeh
Cohen et al. conjectured that for every oriented cycle there exist an integer such that every strong -chromatic digraph contains a subdivision of . El Joubbeh c…
math.CO2024★ 4 cited
Orientable sequences over non-binary alphabets
Abbas Alhakim, Chris J. Mitchell, Janusz Szmidt +1
We describe new, simple, recursive methods of construction for orientable sequences over an arbitrary finite alphabet, i.e. periodic sequences in which any sub-sequence of n consec…