𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Balanced group-labeled graphs

✍ Scribed by Manas Joglekar; Nisarg Shah; Ajit A. Diwan


Book ID
113567456
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
221 KB
Volume
312
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Groups of balanced labelings on graphs
✍ Cherniavsky, Yonah; Goldstein, Avraham; Levit, Vadim E. πŸ“‚ Article πŸ“… 2014 πŸ› Elsevier Science 🌐 English βš– 425 KB
Group labelings of graphs
✍ Paul H. Edelman; Michael Saks πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 181 KB

## 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

On balance in group graphs
✍ Frank Harary; Bernt LindstrΓΆm; Hans-olov ZetterstrΓΆm πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 300 KB

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) =

Labelling Cayley Graphs on Abelian Group
✍ Zhou, Sanming πŸ“‚ Article πŸ“… 2005 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 233 KB
Balanced graphs and noncovering graphs
✍ Oliver Pretzel; Dale Youngs πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 532 KB

Pretzel, 0. and D. Youngs, Balanced graphs and noncovering graphs, Discrete Mathematics, 88 (1991) 279-287. Probabilistic arguments show that triangle-free noncovering graphs are very common. Nevertheless, few specific examples are known. In this paper we describe a simple method of constructing a l