Prime vertex labelings of several families of graphs. (English) Zbl 1341.05222
Summary: A simple and connected \(n\)-vertex graph has a prime vertex labeling if the vertices can be injectively labeled with the integers \(1, 2, 3,\dots, n\) such that adjacent vertices have relatively prime labels. We will present previously unknown prime vertex labelings for new families of graphs, including cycle pendant stars, cycle chains, prisms, and generalized books.
MSC:
05C78 | Graph labelling (graceful graphs, bandwidth, etc.) |
05C75 | Structural characterization of families of graphs |