A graph is Hamilton-connected if any pair of vertices is joined by a hamiltonian path. In this note it is shown that 9-connected graphs which contain no induced clawK1,3are Hamilton-connected, by reformulating and localizing a closure concept due to Ryjáček, which turns claw-free graphs into line graphs. © 1999 Academic Press.
CITATION STYLE
Brandt, S. (1999). 9-Connected Claw-Free Graphs Are Hamilton-Connected. Journal of Combinatorial Theory. Series B, 75(2), 167–173. https://doi.org/10.1006/jctb.1998.1871
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