Hamiltonian colorings of graphs with long cycles
Ladislav Nebeský (2003)
Mathematica Bohemica
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By a hamiltonian coloring of a connected graph of order we mean a mapping of into the set of all positive integers such that (where denotes the length of a longest path in ) for all distinct . In this paper we study hamiltonian colorings of non-hamiltonian connected graphs with long cycles, mainly of connected graphs of order with circumference .