A counterexample to a conjecture of Ghosh

dc.contributor.authorElliot Krop
dc.contributor.authorChristopher Raridan
dc.contributor.authorHung Hua
dc.date.accessioned2024-05-21T13:44:33Z
dc.date.available2024-05-21T13:44:33Z
dc.description.abstractWe answer two questions of Shamik Ghosh in the negative. We show that there exists a lobster tree of diameter less than 6 which accepts no alpha-labeling with two central vertices labeled by the critical number and the maximum vertex label. We also observe that this simple example is a tree of diameter 4 with an even degree central vertex which does not accept a maximum label in any graceful labeling.
dc.identifier.urihttps://hdl.handle.net/20.500.12951/1530
dc.titleA counterexample to a conjecture of Ghosh
dc.typeJournal Article, Academic Journal
dcterms.bibliographicCitationBulletin of the Institute of Combinatorics and Its Applications 75, 79-82, (September 2015)
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