Article ID Journal Published Year Pages File Type
5777661 Journal of Combinatorial Theory, Series B 2017 11 Pages PDF
Abstract
Chen et al. (1998) proved that every 18-tough chordal graph has a Hamilton cycle. Improving upon their bound, we show that every 10-tough chordal graph is Hamiltonian (in fact, Hamilton-connected). We use Aharoni and Haxell's hypergraph extension of Hall's Theorem as our main tool.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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