Strongly indexable graphs (Q1182885)

The authors introduce a new kind of vertex labeling of graphs by defining the concept of indexable and strongly \(k\)-indexable graphs. After showing the relation of these new notions to other known vertex labelings of graphs like strongly \(k\)-elegant or strongly \(k\)-harmonious labelings they prove some necessary conditions, determine a few simple classes of indexable or strongly \(k\)-indexable graphs, and conclude by giving two general results.