Groups of balanced labelings on graphs
β Scribed by Cherniavsky, Yonah; Goldstein, Avraham; Levit, Vadim E.
- Book ID
- 123374619
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 425 KB
- Volume
- 320
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A valuation on a simple graph G IS an assignment of labels to the vertices of G which induces an assignment of labels to the edges of G. pvaluations, also called graceful labelings, and a-valuations, a subclass of graceful labelings, have an extensive literature; harmonious labelings have been intro
## Abstract Given a graph Ξ an abelian group __G__, and a labeling of the vertices of Ξ with elements of __G__, necessary and sufficient conditions are stated for the existence of a labeling of the edges in which the label of each vertex equals the product of the labels of its incident edges. Such
We propose a generalization of signed graphs, called group graphs. These are graphs regarded as symmetric digraphs with a group element s(u, u ) called the signing associated with each arc (u, u ) such that s(u, u)s(u, u) = 1. A group graph is ba2anced if the product s(ul, u2)s(u2, ug) -.s(u,, ul) =