On the number of  α-labeled graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2018 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae Graph Theory, volume 38, page 177 (issn: 1234-3099, eissn: 2083-5892,

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Authors: Barrientos Christian; Minion Sarah;

doi: 10.7151/dmgt.1985

On the number of α-labeled graphs

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Abstract

When a graceful labeling of a bipartite graph places the smaller labels in one of the stable sets of the graph, it becomes an α-labeling. This is the most restrictive type of difference-vertex labeling and it is located at the very core of this research area. Here we use an extension of the adjacency matrix to count and classify α-labeled graphs according to their size, order, and boundary value.

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Clayton State University
United States

Keywords

α-graph, α-labeling, QA1-939, graceful triangle, 05c78, 05c30, Mathematics

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