Applications of mathematical programming in graceful labeling of graphs

Autor: Kourosh Eshghi, Parham Azimi
Jazyk: angličtina
Rok vydání: 2004
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2004, Iss 1, Pp 1-8 (2004)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
1110757X
DOI: 10.1155/S1110757X04310065
Popis: Graceful labeling is one of the best known labeling methods of graphs. Despite the large number of papers published on the subject of graph labeling, there are few particular techniques to be used by researchers to gracefully label graphs. In this paper, first a new approach based on the mathematical programming technique is presented to model the graceful labeling problem. Then a branching method is developed to solve the problem for special classes of graphs. Computational results show the efficiency of the proposed algorithm for different classes of graphs. One of the interesting results of our model is in the class of trees. The largest tree known to be graceful has at most 27 vertices but our model can easily solve the graceful labeling for trees with 40 vertices.
Databáze: Directory of Open Access Journals
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