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On the Number ofα-Labeled Graphs

100%

Barrientos C., Minion S.

Discussiones Mathematicae Graph Theory

2017

tom 38

nr 1

177-188

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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Trees with α-labelings and decompositions of complete graphs into non-symmetric isomorphic spanning trees

88%

Kubesa M.

Discussiones Mathematicae Graph Theory

2005

tom 25

nr 3

311-324

We examine constructions of non-symmetric trees with a flexible q-labeling or an α-like labeling, which allow factorization of $K_{2n}$ into spanning trees, arising from the trees with α-labelings.

Ograniczanie wyników

2 Discussiones Mathematicae Graph Theory

1 Barrientos C.

1 Kubesa M.

1 Minion S.

1 2018

1 2005

Wyniki wyszukiwania

On the Number ofα-Labeled Graphs

Trees with α-labelings and decompositions of complete graphs into non-symmetric isomorphic spanning trees