
The authors present an upper bound on the Betti deficiency in terms of the independence number and the girth of a graph, and give an equivalent formulation of their result in form of a lower bound on the maximum genus.
maximum genus, girth, independence number, Betti deficiency, Planar graphs; geometric and topological aspects of graph theory
maximum genus, girth, independence number, Betti deficiency, Planar graphs; geometric and topological aspects of graph theory
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 1 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
