A note: Characterization of star, helm, flower and complete graphs by total vertex stress

Abstract

This note presents the characterization of the families of star, helm, flower and complete graphs by total vertex stress. The note does not present results for many families of graphs but, it highlights important philosophical (<i>math. phil.</i>) aspects for further research. In particular the novelty concepts of <i>forgiven contradictions</i> denoted by, iff\(_f\) as well as <i>iffness</i> and \(f\)-statements are introduced. The author suggests that the characterization of other families of graphs by total vertex stress is possible.