More Progress on Tough Graphs - The Y2K Report

Doug Bauer, Hajo Broersma, Edward Schmeichel

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Abstract

We now know that not every 2-tough graph is hamiltonian. In fact for every ϵ > 0, there exists a (9/4−ϵ)-tough nontraceable graph. We continue our quadrennial survey of results that relate the toughness of a graph to its cycle structure.
Original languageEnglish
Pages (from-to)63-80
JournalElectronic notes in discrete mathematics
Volume11
DOIs
Publication statusPublished - Jul 2002
EventNinth Quadrennial International Conference on Graph Theory, Combinatorics, Algorithms and Applications - Kalamazoo , United States
Duration: 4 Jun 20009 Jun 2000
Conference number: 9

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