A magical approach to some labeling conjectures
Ramon M. Figueroa-Centeno ; Rikio Ichishima ; Francesc A. Muntaner-Batle ; Akito Oshima
Discussiones Mathematicae Graph Theory, Tome 31 (2011), p. 79-113 / Harvested from The Polish Digital Mathematics Library
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In this paper, a complete characterization of the (super) edge-magic linear forests with two components is provided. In the process of establishing this characterization, the super edge-magic, harmonious, sequential and felicitous properties of certain 2-regular graphs are investigated, and several results on super edge-magic and felicitous labelings of unions of cycles and paths are presented. These labelings resolve one conjecture on harmonious graphs as a corollary, and make headway towards the resolution of others. They also provide the basis for some new conjectures (and a weaker form of an old one) on labelings of 2-regular graphs.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:270995 
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Ramon M. Figueroa-Centeno; Rikio Ichishima; Francesc A. Muntaner-Batle; Akito Oshima. A magical approach to some labeling conjectures. Discussiones Mathematicae Graph Theory, Tome 31 (2011) pp. 79-113. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1531/

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