A counterexample to a conjecture of Ghosh

Autor: Hua, Hung, Krop, Elliot, Raridan, Christopher
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
Popis: We 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 show a simple example of a tree of diameter 4, with an even degree central vertex which does not accept a maximum label in any graceful labeling.
Comment: 4 pages
Databáze: arXiv