Книга: Total labeling of some families of trees and cycles with chords

A labeling (or valuation) of a graph is a map that carries the graph elements to numbers (usually to the positive integers). The domain will usually be the set of all vertices and edges such labelings are called total labelings. In the case when all vertices receive smallest labels, then edge-magic total (vertex-magic total) labeling is called super edge- magic total labeling (super vertex-magic total labeling). Some labelings use the vertex set or the edge set alone and they will be referred as vertex- labeling and edge-labeling respectively. Other domains are also possible. There are many types of labelings for example harmonious, cordial, graceful and antimagic. This book studies about the construction of a super edge-magic total la-beling of banana tree as well as for disjoint union of k identical copies of banana trees. We also construct the antimagic total labelings of Harary graphs