Total Irregularity of Graphs resulting from Edge-joint, Edge-transformation and $irr^+_t(G)$ and $irr^-_t(G)$ of Directed Graphs
Johan Kok · arXiv (Cornell University) · 2014
Lihua You et. al. [5] introduced an important transformation called, \emph{branch-transformation}. This paper furthers results for a similar concept called, \emph{edge-transformation} in relation to total irregularity of simple undirected graphs with at least one cut edge. The concept of an \emph{edge-joint} between two simple undirected graphs is introduced. We also introduce the concept of \emph{out-degree} and \emph{in-degree} total irregularity in directed graphs. The introduction to the latter is simplistic and it is hoped to encourage further research.